Time decay of the solution to the Cauchy problem for a three‐dimensional model of nonsimple thermoelasticity

DOI10.1002/MMA.6683zbMath1460.35342OpenAlexW3044410125MaRDI QIDQ5143506

Jarosław Łazuka

Publication date: 12 January 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.6683

zbMATH Keywords

Cauchy problemthermoelasticitynonsimple materialstime decay estimatesfourth-order PDE

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elasticity (74B20) Thermal effects in solid mechanics (74F05) Asymptotic expansions of solutions to PDEs (35C20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with mechanics of deformable solids (35Q74) Initial value problems for systems of linear higher-order PDEs (35G40)

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Global solution to the Cauchy problem for nonlinear three-dimensional thermoelasticity of nonsimple materials

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