scientific article; zbMATH DE number 812992
From MaRDI portal
Publication:4853970
zbMath0835.35003MaRDI QIDQ4853970
Publication date: 6 November 1995
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
asymptotic behaviorphase transitionsthermoelasticitythermoviscoelasticityshape memory alloysglobal existencenonlinear evolution equationsCahn-Hilliard equationsinertial manifolds
Thermodynamics in solid mechanics (74A15) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Parabolic equations and parabolic systems (35Kxx) Hyperbolic equations and hyperbolic systems (35Lxx)
Related Items (max. 100)
A remark on the existence and uniqueness of solutions of a semilinear parabolic equation ⋮ On the decay rates for thermoviscoelastic systems of type III ⋮ Local well-posedness of a coupled Westervelt–Pennes model of nonlinear ultrasonic heating ⋮ Maximal attractor for the coupled Cahn-Hilliard equations ⋮ The asymptotic problem for the springlike motion of a heavy piston in a viscous gas ⋮ A mathematical analysis of a nonisothermal Allen-Cahn type system ⋮ Asymptotic behaviour for a phase-field model with hysteresis in one-dimensional thermo-visco-plasticity. ⋮ Asymptotic stability of the rarefaction wave for the non-viscous and heat-conductive ideal gas in half space ⋮ On a system of nonlinear PDEs with temperature-dependent hysteresis in one-dimensional thermoplasticity ⋮ Asymptotic behavior of second sound thermoelasticity with internal time-varying delay ⋮ Radially symmetric motions of nonlinearly viscoelastic bodies under live loads ⋮ Non-isothermal phase transition models with Neumann boundary conditions. ⋮ Asymptotics of solutions of nonlinear parabolic equations. ⋮ ON PHASE–FIELD EQUATIONS OF PENROSE–FIFE TYPE WITH THE NON–CONSERVED ORDER PARAMETER UNDER FLUX BOUNDARY CONDITION. I: GLOBAL–IN–TIME SOLVABILITY ⋮ A new approach to abstract linear viscoelastic equation in Hilbert space ⋮ Global well-posedness for the thermodynamically refined passively transported nonlinear moisture dynamics with phase changes ⋮ The motion of a particle on a light viscoelastic bar: asymptotic analysis of its quasilinear parabolic-hyperbolic equation. ⋮ On the development of a coupled nonlinear telegraph-diffusion model for image restoration ⋮ An efficient nonlinear iteration scheme for nonlinear parabolic-hyperbolic system ⋮ Boundary stabilization of memory-type thermoelasticity with second sound ⋮ Well-posedness for an extended Penrose-Fife phase-field model with energy balance supplied by Dirichlet boundary conditions ⋮ Propagation of mild singularities in higher dimensional thermoelasticity ⋮ Propagation of singularities in Cauchy problems for quasilinear thermoelastic systems in three space variables ⋮ Uniform stability of second sound thermoelasticity with distributed delay ⋮ Counting the set of equilibria for a one-dimensional full model for phase transitions with microscopic movements ⋮ CROSS DIFFUSION AND NONLINEAR DIFFUSION PREVENTING BLOW UP IN THE KELLER–SEGEL MODEL ⋮ Global existence, asymptotic behavior and uniform attractors for non-autonomous thermoelastic systems ⋮ Nonlinear scheme with high accuracy for nonlinear coupled parabolic-hyperbolic system ⋮ Global attractors for singular perturbations of the Cahn-Hilliard equations ⋮ The parabolic-hyperbolic system governing the spatial motion of nonlinearly viscoelastic rods ⋮ Universal attractor in \(H^4\) for the nonlinear one-dimensional compressible Navier-Stokes equations ⋮ On a nonlocal phase-field system ⋮ Exponential stability for the compressible Navier-Stokes equations with the cylinder symmetry in \(\mathbb R^3\) ⋮ Global attractor for a nonlinear thermoviscoelastic model with a non-convex free energy density ⋮ Uniform stability for thermoelastic systems with boundary time-varying delay ⋮ The equivalence between two types of exponential stabilities ⋮ Global existence and exponential stability of solutions in \(H^4\) for the compressible Navier-Stokes equations with the cylinder symmetry ⋮ Global existence and exponential stability for a real viscous heat-conducting flow with shear viscosity ⋮ On a parabolic-hyperbolic chemotaxis system with discontinuous data: well-posedness, stability and regularity ⋮ Cauchy problems for linear thermoelastic systems of type III in one space variable ⋮ On a hyperbolic-parabolic system arising in magnetoelasticity ⋮ Maximal attractor for the system of a Landau-Ginzburg theory for structural phase transitions in shape memory alloys ⋮ Uniform global attractors for non-isothermal viscous and non-viscous Cahn-Hilliard equations with dynamic boundary conditions ⋮ Propagation of singularities in one-dimensional thermoelasticity ⋮ Stationary Fix-Caginalp equation with non-local term ⋮ Counting the stationary states and the convergence to equilibrium for the 1-D thin film equation ⋮ Rigorous mean-field limit and cross-diffusion ⋮ The steady states and convergence to equilibria for a 1-D chemotaxis model with volume-filling effect ⋮ Time-space variable-order fractional nonlinear system of thermoelasticity: numerical treatment ⋮ Global well-posedness of the BCL system with viscosity ⋮ A uniform stability result for thermoelasticity of type III with boundary distributed delay ⋮ $L^{p}-L^{q}$ decay estimates for the Cauchy problem of linear thermoelastic systems with second sound in one space variable ⋮ Existence of solution for Eguchi-Oki-Matsumura equation describing phase separation and order-disorder transition in binary alloys ⋮ Exponential stability for a nonlinear one-dimensional heat-conductive viscous real gas ⋮ Maximal attractors for the phase-field equations of Penrose-Fife type ⋮ Energy decay in thermoelasticity with viscoelastic damping of general type ⋮ A dynamical system for a nonlocal parabolic equation with exponential nonlinearity
This page was built for publication: