zbMath0719.73013MaRDI QIDQ3997763
Michael Renardy, John A. Nohel, William J. Hrusa
Publication date: 17 September 1992
A fractional trapezoidal rule for integro-differential equations of fractional order in Banach spaces,
An approximation scheme for a nonlinear degenerate parabolic equation with a second-order differential Volterra operator,
Initial boundary value problems for a class of nonlinear integro-partial differential equations,
Approximate controllability of nonsimple elastic plate with memory,
Solvability of linear boundary value problems for subdiffusion equations with memory,
Existence of global weak solutions for a class of quasilinear hyperbolic integro-differential equations describing visco-elastic materials,
Approximation of solutions to linear integro-differential parabolic equations in \(L^{p}\)-spaces,
Differential approximation for viscoelasticity,
Unified stability analysis for a Volterra integro-differential equation under creation time perspective,
Parameter identification in a Volterra equation with weakly singular kernel,
On the existence of a global mild solution for a nonlinear integrodifferential equation with a singular kernel,
History-dependent scalar conservation laws,
Time decay rates for the compressible viscoelastic flows,
Global solvability of Moore-Gibson-Thompson equation with memory arising in nonlinear acoustics,
Iterative approximate factorization for difference operators of high-order bicompact schemes for multidimensional nonhomogeneous hyperbolic systems,
Linear stability of compressible vortex sheets in two-dimensional elastodynamics,
Exponential stability of a certain semigroup and applications,
Compact alternating direction implicit scheme for integro-differential equations of parabolic type,
Decay rates of solutions of an anisotropic inhomogeneous \(n\)-dimensional viscoelastic equation with polynomially decaying kernels,
Compactness properties and general stability result for an abstract nonlinear viscoelastic equation,
The thermoelastic and viscoelastic contact of two rods,
Convergence to equilibrium of solutions to a nonautonomous semilinear viscoelastic equation with finite or infinite memory,
Fractional differential models in finite viscoelasticity,
A posteriori error estimates for a semidiscrete parabolic integrodifferential control on multimeshes,
Well-posedness of the free boundary problem in compressible elastodynamics,
On an inverse problem for a model of linear viscoelastic Kirchhoff plate,
Averaging of equations of viscoelasticity with singularly oscillating external forces,
Semilinear subdiffusion with memory in the one-dimensional case,
On uniqueness and instability for some thermomechanical problems involving the Moore-Gibson-Thompson equation,
Blow up property for viscoelastic evolution equations on manifolds with conical degeneration,
On the uniform decay in Cauchy viscoelastic problems,
Problem of optimal control for parabolic-hyperbolic equations with nonlocal point boundary conditions and semidefinite quality criterion,
Kink-type solitary waves within the quasi-linear viscoelastic model,
Well-posedness and dynamics of a fractional stochastic integro-differential equation,
Finite speed of propagation and waiting time for local solutions of degenerate equations in viscoelastic media or heat flows with memory,
Analysis of a Moore-Gibson-Thompson thermoelastic problem,
Regular and singular kernel problems in magneto-viscoelasticity,
Three-dimensional travelling waves for nonlinear viscoelastic materials with memory,
Optimal control for evolution equations with memory,
Numerical solution of Volterra partial integro-differential equations based on sinc-collocation method,
Optimal error estimates of two mixed finite element methods for parabolic integro-differential equations with nonsmooth initial data,
Inverse observability inequalities for integrodifferential equations in square domains,
Numerical solution of a parabolic equation subject to specification of energy.,
Nonlinear hyperbolic equations with dissipative temporal and spatial non-local memory,
Global BV solutions to a \(p\)-system with relaxation,
Existence of slow steady flows of viscoelastic fluids of White-Metzner type,
General decay rate estimates for viscoelastic dissipative systems,
Observability inequalities for Hermite bi-cubic orthogonal spline collocation methods of 2-D integro-differential equations in the square domains,
Decay rates of the compressible viscoelastic flows with electric potential,
Spatial behaviour of solutions of the Moore-Gibson-Thompson equation,
Moore-Gibson-Thompson equation with memory in a history framework: a semigroup approach,
Non-linear Volterra IDE, infinite systems and normal forms of ODE,
Wave propagation in linear viscoelastic media with completely monotonic relaxation moduli,
Numerical simulations of viscoelastic fluid flows past a transverse slot using least-squares finite element methods,
A numerical approximation with WLS/SUPG algorithm for solving White-Metzner viscoelastic flows,
General decay of solutions of a viscoelastic equation,
The one-dimensional heat equation subject to a boundary integral specification,
The method of approximate particular solutions for the time-fractional diffusion equation with a non-local boundary condition,
Symmetric finite volume element approximations of second order linear hyperbolic integro-differential equations,
Efficient techniques for the second-order parabolic equation subject to nonlocal specifications,
Uniform \(l^1\) behavior in the Crank-Nicolson methods for a linear Volterra equation with convex kernel,
On the observability of time discrete integro-differential systems,
Some results in viscoelasticity theory via a simple perturbation argument,
General decay properties of abstract linear viscoelasticity,
Singular kernel problems in materials with memory,
Initial boundary value problems for the three-dimensional compressible elastic Navier-Stokes-Poisson equations,
Determination of initial distribution for a space-fractional diffusion equation with time-dependent diffusivity,
Reachability problems for a wave-wave system with a memory term,
General decay for a viscoelastic equation with time-varying delay in the boundary feedback condition,
A Crank-Nicolson-type compact difference method with the uniform time step for a class of weakly singular parabolic integro-differential equations,
Nonexistence of global solutions for a class of viscoelastic wave equations,
Fokker-Planck equations with terminal condition and related McKean probabilistic representation,
On a system of nonlinear pseudoparabolic equations with Robin-Dirichlet boundary conditions,
Existence and decay to contact problems for thermoviscoelastic plates,
Asymptotic behavior of a class of abstract semilinear integrodifferential equations and applications,
Weak-strong uniqueness and energy-variational solutions for a class of viscoelastoplastic fluid models,
Viscoelastic versus frictional dissipation in a variable coefficients plate system with time-varying delay,
Determining the relaxation kernel in nonlinear one-dimensional viscoelasticity,
On a backward parabolic problem with local Lipschitz source,
Shock conditions for hypoelastic materials,
On the numerical stability of mixed finite-element methods for viscoelastic flows governed by differential constitutive equations,
Second-order accurate, robust and efficient ADI Galerkin technique for the three-dimensional nonlocal heat model arising in viscoelasticity,
Spatial and continuous dependence estimates in linear viscoelasticity.,
Global wellposedness to the generalized Oldroyd type models in \(\mathbb{R}^3\),
Study of the backward difference and local discontinuous Galerkin (LDG) methods for solving fourth-order partial integro-differential equations (PIDEs) with memory terms: stability analysis,
Global small solutions to a complex fluid model in three dimensional,
Solvability for a couple system of nonlinear fractional differential equations in a Banach space,
Approximate controllability of linear parabolic equation with memory,
McKean Feynman-Kac probabilistic representations of non-linear partial differential equations,
Global existence and stability of a class of nonlinear evolution equations with hereditary memory and variable density,
Blow-up of solution for quasilinear viscoelastic wave equation with boundary nonlinear damping and source terms,
Well-posedness of solutions for a class of quasilinear wave equations with structural damping or strong damping,
Global convergence to compressible full Navier-Stokes equations by approximation with Oldroyd-type constitutive laws,
Leray-Hopf solutions to a viscoelastoplastic fluid model with nonsmooth stress-strain relation,
Some unexplored questions arising in linear viscoelasticity,
On the numerical approximation of a problem involving a mixture of a MGT viscous material and an elastic solid,
On a mixture of an MGT viscous material and an elastic solid,
Prandtl boundary layers for the Phan-Thien-Tanner and Giesekus fluid,
Wave propagation in media with singular memory,
Determining the relaxation tensor in linear viscoelasticity of integral type,
A formally second-order BDF finite difference scheme for the integro-differential equations with the multi-term kernels,
Null-controllability properties of the wave equation with a second order memory term,
Inverse potential problem for a semilinear generalized fractional diffusion equation with spatio-temporal dependent coefficients,
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Global Strong Solutions for Some Differential Viscoelastic Models,
Stokes' first problem for linear viscoelastic fluids with finite memory,
On the viscoelastic beam subjected to moving mass,
On global solvability of non‐linear viscoelastic equations in the analytic category,
Global existence and one-dimensional nonlinear stability of shearing motions of viscoelastic fluids of Oldroyd type,
On the controllability of fractional dynamical systems,
Numerical solution of the fourth-order partial integro-differential equation with multi-term kernels by the sinc-collocation method based on the double exponential transformation,
On the initial-boundary value problem for the three-dimensional compressible viscoelastic fluids with the electrostatic effect,
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A non-autonomous damped wave equation with a nonlinear memory term,
Lack of superstable trajectories in linear viscoelasticity: a numerical approach,
General decay and blow-up results of a Robin-Dirichlet problem for a pseudoparabolic nonlinear equation of Kirchhoff-Carrier type with viscoelastic term,
Asymptotic stability of rarefaction waves for hyperbolized compressible Navier-Stokes equations,
ADI finite element Galerkin methods for two-dimensional tempered fractional integro-differential equations,
Well‐posedness of solutions for a class of quasilinear wave equations with strong damping and logarithmic nonlinearity,
On the IAA version of the Doi–Edwards model versus the K-BKZ rheological model for polymer fluids: A global existence result for shear flows with small initial data,
Exponential attractor for the viscoelastic wave model with time-dependent memory kernels,
Global existence, blow-up and optimal decay for a nonlinear viscoelastic equation with nonlinear damping and source term,
Lack of null controllability of viscoelastic flows,
Optimal relaxed control of stochastic hereditary evolution equations with Lévy noise,
On the Half-Space or Exterior Problems of the 3D Compressible Elastic Navier–Stokes–Poisson Equations,
Convergence and superconvergence of a fractional collocation method for weakly singular Volterra integro-differential equations,
A new approach to abstract linear viscoelastic equation in Hilbert space,
Continuous dependence and convergence for Moore-Gibson-Thompson heat equation,
An efficient Sinc‐collocation method by the single exponential transformation for the nonlinear fourth‐order partial integro‐differential equation with multiterm kernels,
Asymptotic behaviour of the eenergy to the viscoelastic wave equation with localized hereditary memory and supercritical source term,
Lifespan estimates and asymptotic stability for a class of fourth-order damped \(p\)-Laplacian wave equations with logarithmic nonlinearity,
Global existence and general decay of Moore–Gibson–Thompson equation with not necessarily decreasing kernel,
Weak solutions for a nonlinear system in viscoelasticity,
Inviscid limit of compressible viscoelastic equations with the no-slip boundary condition,
An implicit difference scheme for the fourth-order nonlinear partial integro-differential equations,
Stability of a viscoelastic Timoshenko system with non-monotonic kernel,
Stabilization of the viscoelastic wave equation with variable coefficients and a delay term in nonlocal boundary feedback,
Uniform general stability of a coupled Volterra integro-differential equations with fading memories,
Stability analysis of stochastic 3D Lagrangian-averaged Navier-Stokes equations with infinite delay,
Dynamics and stability analysis for stochastic 3D Lagrangian-averaged Navier-Stokes equations with infinite delay on unbounded domains,
Riccati-based solution to the optimal control of linear evolution equations with finite memory,
Intrinsic Decay Rate Estimates for Semilinear Abstract Second Order Equations with Memory,
A priori error estimates for finite volume element approximations to second order linear hyperbolic integro-differential equations,
On the Control of the Navier-Stokes Equations and Related Systems,
Global smooth solutions for a class of parabolic integrodifferential equations,
Non null controllability of Stokes equations with memory,
Asymptotic to systems with memory and non-local initial data,
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Mathematical modeling and qualitative analysis of viscoelastic conductive fluids,
Moore–Gibson–Thompson thermoelasticity,
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Existence of periodic weak solutions to viscoelastic dynamic equation with memory,
Global existence, nonexistence, and decay of solutions for a viscoelastic wave equation with nonlinear boundary damping and source terms,
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Approximate Solutions of Inverse Problems for Nonlinear Space Fractional Diffusion Equations with Randomly Perturbed Data,
Thermoelasticity of Moore–Gibson–Thompson type with history dependence in the temperature,
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Mathematical modelling for viscoelastic fluids,
A numerical method for backward parabolic problems with non-selfadjoint elliptic operators,
Solutions for a nonlocal conservation law with fading memory,
Non-isothermal flows of viscoelastic incompressible fluids,
Weak Solutions of Hyperbolic-Parabolic Volterra Equations,
The use of cubic B‐spline scaling functions for solving the one‐dimensional hyperbolic equation with a nonlocal conservation condition,
Global attractors for a semilinear hyperbolic equation in viscoelasticity,
Identification of weakly singular relaxation kernels in three-dimensional viscoelasticity,
Asymptotic estimates of viscoelastic Green’s functions near the wavefront,
Global existence and energy decay of a nondissipative Cauchy viscoelastic problem,
Existence results for the flow of viscoelastic fluids with a differential constitutive law,
Well-Posedness and Stabilizability of a Viscoelastic Equation in Energy Space,
On the Local Regularity of Solutions in Linear Viscoelasticity of Several Space Dimensions,
Nondestructive characterization of materials with variable properties,
Finite Element Approximation of a Parabolic Integro-Differential Equation with a Weakly Singular Kernel,
Energy decay of solutions for a variable-coefficient viscoelastic wave equation with a weak nonlinear dissipation,
Asymptotic stability of a viscoelastic problem with time-varying delay in boundary feedback,
A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications,
On the Long-time Behaviour of Solutions to a Conservation Law with Memory,
Large time behavior of solutions to a nonlinear integro-differential system,
Carleman Estimate for Linear Viscoelasticity Equations and an Inverse Source Problem,
Unilateral dynamic contact of two viscoelastic beams,
Large Time Approximation for Shearing Motions,
Exponential decay for a quasilinear viscoelastic equation,
Discrete schemes for treating hereditary problems of viscoelasticity and applications,
Incompressible non-Newtonian fluids: time asymptotic behaviour of weak solutions,
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Numerical solution of the one-dimensional wave equation with an integral condition,
The relative entropy method for inhomogeneous systems of balance laws,
Sobolev Regularity with Asymptotics for two Classes Of Integro‐Differential Equations,
ERROR ANALYSIS OF LEGENDRE-GALERKIN SPECTRAL METHOD FOR A PARABOLIC EQUATION WITH DIRICHLET-TYPE NON-LOCAL BOUNDARY CONDITIONS,
Singular Relaxation Moduli and Smoothing in Three-Dimensional Viscoelasticity,
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OPTIMAL ESTIMATES FOR THE SEMIDISCRETE GALERKIN METHOD APPLIED TO PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS WITH NONSMOOTH DATA,
A backward Euler difference scheme for the integro-differential equations with the multi-term kernels,
Optimal control method of parabolic partial differential equations and its application to heat transfer model in continuous cast secondary cooling zone,
An efficient symmetric finite volume element method for second-order variable coefficient parabolic integro-differential equations,
Well-posedness of the Prandtl boundary layer equations for the upper convected Maxwell fluid,
Moore-Gibson-Thompson equation with memory. I: Exponential decay of energy,
Asymptotic behavior of a flexible structure with Cattaneo type of thermal effect,
Observability of \(N\)-dimensional integro-differential systems,
On the stabilization of a non-dissipative Cauchy viscoelastic problem,
On long time behavior of Moore-Gibson-Thompson equation with molecular relaxation,
Nonlinear waves for viscoelasticity with fading memory,
Global existence for a system of nonlocal PDEs with applications to chemically reacting incompressible fluids,
On a stochastic hyperbolic integro-differential equation,
Bounded mild solutions for semilinear integro differential equations in Banach spaces,
Variational iteration method for solving the wave equation subject to an integral conservation condition,
Parallel solution of large-scale free surface viscoelastic flows via sparse approximate inverse preconditioning,
An adaptive mixed least-squares finite element method for viscoelastic fluids of Oldroyd type,
Simultaneous determination of source terms in a linear parabolic problem from the final overdetermination: weak solution approach,
Backward solutions to nonlinear integro-differential systems,
Stability of partial functional integro-differential equations,
Long-time behavior of a quasilinear viscoelastic equation with past history,
Some properties of the Doi-Edwards and K-BKZ equations and operators,
General decay rate estimates for viscoelastic wave equation with variable coefficients,
Global existence for the multi-dimensional compressible viscoelastic flows,
Asymptotics for large time of solutions to nonlinear system associated with the penetration of a magnetic field into a substance.,
Controllability of nonlinear fractional dynamical systems,
A blow-up criterion for 3D compressible viscoelastic flow with large initial data,
Sharp a posteriori error estimates for optimal control governed by parabolic integro-differential equations,
Stability and exponential stability in linear viscoelasticity,
On decay and blow-up of the solution for a viscoelastic wave equation with boundary damping and source terms,
Dynamics of shear flow of a non-Newtonian fluid,
Global regular solutions for the dynamic antiplane shear problem in nonlinear viscoelasticity,
On the control of viscoelastic Jeffreys fluids,
Short-wave instabilities and ill-posed initial value problems,
Decay rate of solutions for a Cauchy viscoelastic evolution equation,
Optimal error estimates of mixed FEMs for second order hyperbolic integro-differential equations with minimal smoothness on initial data,
A fully discrete symmetric finite volume element approximation of nonlocal reactive flows in porous media,
The shuddering pendulum,
Comparison of meshless local weak and strong forms based on particular solutions for a non-classical 2-D diffusion model,
Homogenization of nonlinear visco-elastic composites,
Reconstruction of a convolution kernel in a semilinear parabolic problem based on a global measurement,
Global solutions for incompressible viscoelastic fluids,
Existence and sharp decay rate estimates for a von Karman system with long memory,
Decay rates of Volterra equations on \(\mathbb R^N\),
Forced vibrations in one-dimensional nonlinear viscoelasticity,
The initial-boundary value problem for the compressible viscoelastic flows,
Systems described by Volterra type integral operators,
Newtonian limit of Maxwell fluid flows,
Stability of the difference type methods for linear Volterra equations in Hilbert spaces,
Corrections to Forced vibrations in one-dimensional nonlinear viscoelasticity,
A priori \(hp\)-estimates for discontinuous Galerkin approximations to linear hyperbolic integro-differential equations,
Corrections to ``Forced vibrations in one-dimensional nonlinear viscoelasticity, Moore-Gibson-Thompson equation with memory. II: General decay of energy., Generalized solutions for one dimensional flows of K-BKZ fluids, Some existence results for a nonlinear hyperbolic integrodifferential equation with singular kernel, Strain softening in viscoelasticity of the rate type, On a class of second order integrodifferential equations, On the exponential decay of waves with memory, On some nonlocal homogenization problems and problems of fluids in porous media: a contribution of Abdelhamid Ziani, On the Moore-Gibson-Thompson equation and its relation to linear viscoelasticity, A two-dimensional backward heat problem with statistical discrete data, Unidirectional flows of viscoelastic fluids and their gasdynamic counterparts, Convergence to diffusion waves of solutions to nonlinear viscoelastic model with fading memory, Attractors for a random evolution equation with infinite memory: theoretical results, An inverse source problem in a semilinear time-fractional diffusion equation, Numerical solutions of viscoelastic bending wave equations with two term time kernels by Runge-Kutta convolution quadrature, On a class of Volterra nonlinear equations of parabolic type, Decay rate of quasilinear wave equation with viscosity, Uniform attractors for a semilinear evolution problem in hereditary simple fluids, On efficient numerical methods for an initial-boundary value problem with nonlocal boundary conditions, An inverse source problem with single Dirichlet type measured output data for a linear parabolic equation, Existence of periodic weak solutions to the three-dimensional nonlinear viscoelastic system, Invariant measures for dissipative dynamical systems: abstract results and applications, Two-fluid porous flow in a single temperature approximation, Numerical methods for hyperbolic and parabolic integro-differential equations, Global existence and exponential stability in one-dimensional nonlinear thermoelasticity with thermal memory, Initial value problems for creeping flow of Maxwell fluids, The global existence of small solutions to the Oldroyd-B model, Large time behavior of solutions and finite difference scheme to a nonlinear integro-differential equation, Spectral element methods for transient viscoelastic flow problems, General decay estimate of energy for the second order evolution equations with memory, Global attractor for a non-autonomous integro-differential equation in materials with memory, Local strong solution to the compressible viscoelastic flow with large data, Stability of creeping flows of Maxwell fluids, Existence results for fractional impulsive integrodifferential equations in Banach spaces, Wave equations with memory: the minimal state approach, General decay and blow-up of solution for a quasilinear viscoelastic problem with nonlinear source, Local well-posedness of lower regularity solutions for the incompressible viscoelastic fluid system, Energy decay of a viscoelastic wave equation with supercritical nonlinearities, Iterative approximate factorization of difference operators of high-order accurate bicompact schemes for multidimensional nonhomogeneous quasilinear hyperbolic systems, General stability of a viscoelastic variable coefficients plate equation with time-varying delay in localized nonlinear internal feedback, Blow-up of a hyperbolic equation of viscoelasticity with supercritical nonlinearities, Two dimensional determination of source terms in linear parabolic equation from the final overdetermination, Attractors for semi-linear equations of viscoelasticity with very low dissipation, Similarity solutions and model constitutive laws to viscoelasticity with application to nonlinear wave propagation, Singular kernels and compactness in nonlinear conservation laws, Semi-discrete finite element approximations for linear parabolic integro-differential equations with integrable kernels, Uniqueness and stability in inverse parabolic equations with memory, Strong solutions to the three-dimensional compressible viscoelastic fluids, Optimization method for the inverse problem of reconstructing the source term in a parabolic equation, Null-controllability properties of a fractional wave equation with a memory term, Exponential attractors for abstract equations with memory and applications to viscoelasticity