Far field behavior of solutions to the equations of nonlinear 1-D-Thermoelasticity

DOI10.1080/00036819008839919zbMath0672.35011OpenAlexW1987691811WikidataQ58275289 ScholiaQ58275289MaRDI QIDQ3825408

Song Jiang

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/00036819008839919

zbMATH Keywords

Fourier transformCauchy problemlinearized equationslocal-global existencenonlinear thermoelasticityenergy and decay estimatesfar field behavior

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Thermodynamics in solid mechanics (74A15) Thermal effects in solid mechanics (74F05) Initial value problems for nonlinear higher-order PDEs (35G25) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (5)

Numerical solution to a nonlinear, one-dimensional problem of thermoelasticity with volume force and heat supply in a half-space ⋮ Numerical solution to a nonlinear, one-dimensional problem of anisotropic thermoelasticity with volume force and heat supply in a half-space: interaction of displacements ⋮ Rapidly decreasing behaviour of solutions in nonlinear 3-D-thermoelasticity ⋮ Numerical solution for the Cauchy problem in nonlinear 1-D- thermoelasticity ⋮ Numerical solution for a nonlinear, one-dimensional problem of thermoelasticity

Cites Work

• Unnamed Item
• Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity
• Initial boundary value problems in one-dimensional non-linear thermoelasticity

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