Existence of almost everywhere solution for nonlinear hyperbolic--parabolic system

DOI10.1016/S0096-3003(02)00430-7zbMath1027.35002OpenAlexW1992762065MaRDI QIDQ1412472

M. E. Khalifa

Publication date: 25 November 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00430-7

zbMATH Keywords

Galerkin methodmixed problemExistence theoremNonlinear thermoelasticity

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) PDEs of mixed type (35M10) A priori estimates in context of PDEs (35B45) Theoretical approximation in context of PDEs (35A35)

Related Items (8)

Numerical solution to a nonlinear, one-dimensional problem of thermoelasticity with volume force and heat supply in a half-space ⋮ Numerical solution to a nonlinear, one-dimensional problem of anisotropic thermoelasticity with volume force and heat supply in a half-space: interaction of displacements ⋮ Sharp polynomial decay rate of multi-link hyperbolic-parabolic systems with different network configurations ⋮ An efficient nonlinear iteration scheme for nonlinear parabolic-hyperbolic system ⋮ Nonlinear scheme with high accuracy for nonlinear coupled parabolic-hyperbolic system ⋮ A nonlinear iteration method for solving a two-dimensional nonlinear coupled system of parabolic and hyperbolic equations ⋮ Time-space variable-order fractional nonlinear system of thermoelasticity: numerical treatment ⋮ FDM for multi-dimensional nonlinear coupled system of parabolic and hyperbolic equations

Cites Work

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• On the energy decay of a linear thermoelastic bar
• Decay rates for the three-dimensional linear system of thermoelasticity
• Global existence of small solutions to the initial value problem for nonlinear thermoelasticity
• On smooth solutions of the Cauchy problem in one-dimensional nonlinear thermoelasticity
• On the existence of smooth solutions in one-dimensional nonlinear thermoelasticity with second sound
• Global solvability and exponential stability in one-dimensional nonlinear thermoelasticity
• Equivalent Norms for Sobolev Spaces
• Mixed boundary value problems of two-dimensional anisotropic thermoelasticity with elliptic boundaries

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