Long-time behavior of quasilinear thermoelastic Kirchhoff-Love plates with second sound

DOI10.1016/j.na.2019.02.019zbMath1432.35024arXiv1811.01138OpenAlexW2962959269WikidataQ128184370 ScholiaQ128184370MaRDI QIDQ2312588

Michael Pokojovy, Xiang Wan, Irena Lasiecka

Publication date: 17 July 2019

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.01138

zbMATH Keywords

exponential stabilityglobal well-posednessnonlinear thermoelasticityhyperbolic thermoelasticityhypoelastic material laws

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elasticity (74B20) Plates (74K20) Thermal effects in solid mechanics (74F05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with mechanics of deformable solids (35Q74) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09) Initial-boundary value problems for higher-order hyperbolic systems (35L57)

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