Asymptotic profiles of solutions for the isothermal Falk–Konopka system of shape memory alloys with weak damping

DOI10.3233/ASY-2012-1148zbMath1280.35151OpenAlexW1635775903MaRDI QIDQ2852328

Shuji Yoshikawa, Hiroshi Takeda

Publication date: 8 October 2013

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-2012-1148

zbMATH Keywords

initial value problemasymptotic profilesshape memory alloyhigher-order expansion of solutionsemilinear elastic system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stefan problems, phase changes, etc. (80A22) Thermal effects in solid mechanics (74F05) PDEs in connection with mechanics of deformable solids (35Q74) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74Dxx)

Related Items (2)

\(L^2\) asymptotic profiles of solutions to linear damped wave equations ⋮ Asymptotic expansion of solutions to the nonlinear dissipative equation with the anomalous diffusion

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