A higher-order porous thermoelastic problem with microtemperatures

doi:10.1007/s10483-023-3049-8

摘要/Abstract

摘要： In this paper, we study a porous thermoelastic problem with microtemperatures assuming parabolic higher order in time derivatives for the thermal variables. The model is derived and written as a coupled linear system. Then, a uniqueness result is proved by using the logarithmic convexity method in the case that we do not assume that the mechanical energy is positive definite. Finally, the existence of the solution is obtained by introducing an energy function and applying the theory of linear semigroups.

关键词: higher order, thermoelasticity, microtemperature, logarithmic convexity method, existence and uniqueness

Abstract: In this paper, we study a porous thermoelastic problem with microtemperatures assuming parabolic higher order in time derivatives for the thermal variables. The model is derived and written as a coupled linear system. Then, a uniqueness result is proved by using the logarithmic convexity method in the case that we do not assume that the mechanical energy is positive definite. Finally, the existence of the solution is obtained by introducing an energy function and applying the theory of linear semigroups.

Key words: higher order, thermoelasticity, microtemperature, logarithmic convexity method, existence and uniqueness

中图分类号:

J. R. FERNÁNDEZ, R. QUINTANILLA. A higher-order porous thermoelastic problem with microtemperatures[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(11): 1911-1926.

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