Thermodynamics of Materials with Memory

From MaRDI portal
Publication:3102747

DOI10.1007/978-1-4614-1692-0zbMath1237.80001OpenAlexW4241907173MaRDI QIDQ3102747

Mauro Fabrizio, Giovambattista Amendola, John Murrough Golden

Publication date: 25 November 2011

Full work available at URL: https://doi.org/10.1007/978-1-4614-1692-0




Related Items (86)

Representation of solutions of integro-differential equations with kernels depending on the parameterUnnamed ItemFree energies for singleton minimal statesInvariant and partially invariant solutions of integro-differential equations for linear thermoviscoelastic aging materials with memoryWave equation for generalized Zener model containing complex order fractional derivativesInfinite-Time Admissibility of the Gurtin--Pipkin Systems in Hilbert SpacesGlobal solutions to the non-local Navier-Stokes equationsSpectral analysis of integro-differential equations in viscoelasticity and thermal physicsOn the asymptotics of the nonreal spectrum of the integro-differential Gurtin-Pipkin equation with relaxation kernels representable in the form of the Stielties integralExponential stability of semigroups generated by Volterra integro-differential equationsOn a new class of constitutive equations for linear viscoelastic bodyApplication of semigroup theory to the study of Volterra integro-differential equationsLarge deviations for stochastic heat equations with memory driven by Lévy-type noiseOn the properties of a semigroup of operators generated by a Volterra integro-differential equation arising in the theory of viscoelasticityInverse problems for a parabolic integrodifferential equation in a convolutional weak formAsymptotics of solutions to a system of connected incomplete second-order integro-differential operator equationsLong-time dynamics of vectorial von Karman system with nonlinear thermal effects and free boundary conditionsOn the properties of the generators of semigroups associated with Volterra integro-differential equationsStudying Volterra integro-differential equations by methods of the theory of operator semigroupsJoint identification via deconvolution of the flux and energy relaxation kernels of the Gurtin-Pipkin model in thermodynamics with memoryGeneral dissipative materials for simple historiesOn the spectrum localization of an operator-function arising at studying oscillations of a viscoelastic pipeline with Kelvin-Voigt frictionStability and Eigenvalue Asymptotics of Multi-Dimensional Fully Magnetic Effected Piezoelectric System with Friction-Type Infinite MemorySecond-gradient viscoelastic fluids: dissipation principle and free energiesDynamic stability of the Kawahara equation under the effect of a boundary finite memorySpectral analysis and representations of solutions to abstract integrodifferential equationsStudy of Kelvin-Voigt models arising in viscoelasticityWell-Posedness and Spectral Analysis of Hyperbolic Volterra Equations of Convolution TypeControllability for degenerate/singular parabolic systems involving memory termsSpectral analysis of the generators for semigroups associated with Volterra integro-differential equationsStudy of Volterra integro-differential equations by methods of semigroup theoryA new approach to abstract linear viscoelastic equation in Hilbert spaceProblems of steady vibrations in the coupled linear theory of double-porosity viscoelastic materialsOn thermo-electro-mechanical simple materials with fading memory. Restrictions of the constitutive equations in a Green-Naghdi type theoryOn the elimination of infinite memory effects on the stability of a nonlinear non-homogeneous rotating body-beam systemSpectral properties of the generator of a semigroup generated by the Volterra integro-differential equationDynamics of complex bodies with memory and vector-valued microstructure: existence and uniquenessExponential stabilization of a flexible structure with a local interior control and under the presence of a boundary infinite memoryInvestigation of integro-differential equations by methods of spectral theorySemigroups of operators generated by integro-differential equations with kernels representable by Stieltjes integralsControllability of the impulsive semilinear heat equation with memory and delayPotential method in the linear theory of viscoelastic materials with voidsMoving point load on a beam with viscoelastic foundation containing fractional derivatives of complex orderAnalytical solution of non-stationary waves propagation in viscoelastic layer problemSelf-organization with memoryUnnamed ItemRepresentations of Solutions of Hyperbolic Volterra Integro-Differential Equations with Singular Kernels2D motion with large deformationsRayleigh surface waves on a Kelvin-Voigt viscoelastic half-spaceIdentification of the relaxation kernel in diffusion processes and viscoelasticity with memory via deconvolutionFree energies for materials with memory in terms of state functionalsViscoelastic fluids: free energies, differential problems and asymptotic behaviourSingular limit of an integrodifferential system related to the entropy balanceThe state of fractional hereditary materials (FHM)On the theory of viscoelasticity for materials with double porosityHeat conduction with memory: a singular kernel problemConstructing free energies for materials with memoryLack of controllability of thermal systems with memoryExistence of asymptotically almost periodic solutions for some second-order hyperbolic integrodifferential equationsNote on intrinsic decay rates for abstract wave equations with memorySpectral analysis and solvability of Volterra integro-differential equationsOn the properties of semigroups generated by Volterra integro-differential equations with kernels representable by Stieltjes integralsFree energies in a general non-local theory of a material with memorySolutions of non-stationary dynamic problems of linear viscoelasticityStresses in viscoelastic half space at given on the boundary non-stationary normal displacementOn Volterra integro-differential equations with kernels representable by Stieltjes integralsStudy of Volterra integro-differential equations with kernels depending on a parameterThe minimum and other free energies for non-linear materials with memoryAsymptotics of solutions in the problem about small motions of a compressible Maxwell fluidOn small motions of hydrodynamic systems containing a viscoelastic fluidFormulation of thermodynamically consistent fractional Burgers modelsQualitative analysis of the dynamic for the nonlinear Korteweg-de Vries equation with a boundary memoryFree energies and minimal states for scalar linear viscoelasticityAsymptotics of the spectrum of an integro-differential equation arising in the study of the flutter of a viscoelastic plateSpectral analysis and representation of solutions of integro-differential equations with fractional exponential kernelsUnique characterization of materials with memoryOn the exponential stability of a nonlinear Kuramoto-Sivashinsky-Korteweg-de Vries equation with finite memoryExponential stability of semigroups generated by Volterra integro-differential equations with singular kernelsAnalyticity of an operator semigroup arising in viscoelasticity problemsOn the thermodynamical restrictions in isothermal deformations of fractional Burgers modelSpectral analysis of integrodifferential operators arising in the study of flutter of a viscoelastic plateOn integro‐differential inclusions with operator‐valued kernelsMacroeconomic models with long dynamic memory: fractional calculus approachFractional rheological models for thermomechanical systems. Dissipation and free energiesCorrect solvability and exponential stability for solutions of Volterra integro-differential equationsEnergy stability for thermo-viscous fluids with a fading memory heat flux




This page was built for publication: Thermodynamics of Materials with Memory