Existence, uniqueness and regularity of the solution of the first boundary-initial value problem for the equations of linear thermo- microelasticity

zbMath0621.73004MaRDI QIDQ1090481

Jerzy August Gawinecki

Publication date: 1986

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

zbMATH Keywords

regularitySobolev spaceweak solutioninitial-boundary value problemembedding theoremExistencelinear homogeneous isotropic micropolar thermoelasticitymethod of Faedo-Galerkin type

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Variational methods applied to PDEs (35A15) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Related Items (3)

On the high smoothness of the solution of an abstract hyperbolic-parabolic system like systems of thermoelasticity equations ⋮ Existence and uniqueness of a thermoelastic problem with variable parameters ⋮ Regularity of a thermoelastic problem with variable parameters

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