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

zbMath0628.73008MaRDI QIDQ1093397

Jerzy August Gawinecki

Publication date: 1987

Published in: Bulletin of the Polish Academy of Sciences. Technical Sciences (Search for Journal in Brave)

zbMATH Keywords

Sobolev spacesweak solutionFaedo-Galerkin methodregularity theoremsdisplacement-temperature initial-boundary value problemlinear homogeneous isotropic temperature-rate dependent thermoelasticity

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Thermal effects in solid mechanics (74F05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Unilateral problems for linear hyperbolic equations and variational inequalities with linear hyperbolic operators (35L85)

Related Items (3)

Existence and uniqueness of a thermoelastic problem with variable parameters ⋮ Regularity of a thermoelastic problem with variable parameters ⋮ Mathematical and physical aspects of the solution to the Cauchy problem for a time‐nonlocal model of thermoelasticity theory

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