Initial boundary value problems in one-dimensional non-linear thermoelasticity
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Publication:3801148
DOI10.1002/mma.1670100503zbMath0654.73011OpenAlexW2027491963MaRDI QIDQ3801148
Publication date: 1988
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.1670100503
existenceuniquenessunbounded domainsfixed point argumenthomogeneous Dirichlet boundary conditionbounded
Nonlinear elasticity (74B20) Thermal effects in solid mechanics (74F05) Heat equation (35K05) Wave equation (35L05) Partial differential equations of mixed type and mixed-type systems of partial differential equations (35M99)
Related Items (12)
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 ⋮ Asymptotic behaviour in \(n\)-dimensional thermoelasticity ⋮ Global existence of smooth solutions in one-dimensional nonlinear thermoelasticity ⋮ Harmonic wave generation in nonlinear thermoelasticity ⋮ Global-in-Time Regular Unique Solutions with Positive Temperature to One-Dimensional Thermoelasticity ⋮ Global weak solutions in nonlinear 3D thermoelasticity ⋮ Exponential stabilization of thermoelastic system of type II with non-uniform bounded disturbance ⋮ Far field behavior of solutions to the equations of nonlinear 1-D-Thermoelasticity ⋮ A model in one-dimensional thermoelasticity ⋮ Numerical solution for a nonlinear, one-dimensional problem of thermoelasticity ⋮ Exponential stability of serially connected thermoelastic system of type II with nodal damping
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