Mathematical and physical aspects of the solution to the Cauchy problem for a time‐nonlocal model of thermoelasticity theory

DOI10.1002/zamm.201800326OpenAlexW2978269015WikidataQ127182820 ScholiaQ127182820MaRDI QIDQ6142239

Jarosław Łazuka, Józef Rafa, Jerzy August Gawinecki

Publication date: 25 January 2024

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201800326

zbMATH Keywords

Sobolev spaceCauchy problem\(L^p\)-\(L^q\) time decay estimateCagniard-de Hoops methodmechano-termal wavesthermo-mechanical wavestime-nonlocal model of thermoelasticity theory

Mathematics Subject Classification ID

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Matrix of fundamental solutions for the system of equations of hyperbolic thermoelasticity with two relaxation times and solution of the Cauchy problem
• Global solution of the Cauchy problem in nonlinear three-dimensional hyperbolic thermoelasticity with two relaxation times
• On the Cauchy problem in nonlinear 3-D-thermoelasticity
• Existence, uniqueness and regularity of the first boundary-initial value problem for hyperbolic equations system of the thermal stresses theory for temperature-rate-dependent solids
• The Cauchy problem for the linear hyperbolic equations system of the theory of thermoelasticity of the temperature rate - dependent solids
• Thermoelasticity
• \(L^p\)-Abschätzungen und klassische Lösungen für nichtlineare Wellengleichungen. I
• On \(L_2-L_{p'}\) estimates for the wave-equation
• Global existence of small solutions to the initial value problem for nonlinear thermoelasticity
• Fractional thermoelasticity
• A generalized dynamical theory of thermoelasticity
• A general theory of heat conduction with finite wave speeds
• On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity
• A priori estimates for the wave equation and some applications
• \(L^ p\)-decay rates for homogeneous wave-equations
• On second sound in materials with memory
• The coldness, a universal function in thermoelastic bodies
• Thermoelasticity and Irreversible Thermodynamics
• $L^p$-$L^q$-Time decay estimate for solution of the Cauchy problem for hyperbolic partial differential equations of linear thermoelasticity
• Thermoelasticity with Finite Wave Speeds
• Global existence of small solutions to a class of nonlinear evolution equations
• Thermoelasticity with Second Sound: A Review
• Remarks on global existence for nonlinear parabolic equations
• Generalized thermoelasticity for anisotropic media
• Global solution to the Cauchy problem in non-linear hyperbolic thermoelasticity
• Finite amplitude waves in a homogeneous isotropic elastic solid
• Initial-boundary value problem in nonlinear hyperbolic thermoelasticity. Some applications in continuum mechanics
• Mathematical and physical aspects of the initial value problem for a nonlocal model of heat propagation with finite speed
• Mathematical and physical interpretation of the solution to the initial–boundary value problem in linear hyperbolic thermoelasticity theory

This page was built for publication: Mathematical and physical aspects of the solution to the Cauchy problem for a time‐nonlocal model of thermoelasticity theory