Global existence of smooth solutions in one-dimensional nonlinear thermoelasticity

DOI10.1017/S0308210500020631zbMath0723.35044OpenAlexW2313510220MaRDI QIDQ3211703

Song Jiang

Publication date: 1990

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500020631

zbMATH Keywords

uniquenessglobal existencehomogeneous Dirichlet boundary conditionsdecay estimates

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) First-order nonlinear hyperbolic equations (35L60) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items

On global smooth solutions to the one-dimensional equations of nonlinear inhomogeneous thermoelasticity ⋮ Global solutions of the Neumann problem in one-dimensional nonlinear thermoelasticity ⋮ Microlocal analysis in nonlinear thermoelasticity ⋮ Global weak solutions in nonlinear 3D thermoelasticity ⋮ Propagation of mild singularities in higher dimensional thermoelasticity ⋮ Global existence and asymptotic behavior for one-dimensional thermoelasticity of integral type with hyperbolic heat conduction ⋮ Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity ⋮ On the control ofn-dimensional thermoelastic system ⋮ Global existence of small solutions to the initial value problem for nonlinear thermoelasticity ⋮ Global solutions of the Neumann problem in one-dimensional nonlinear thermoelasticity ⋮ Unnamed Item ⋮ Propagation of singularities in one-dimensional thermoelasticity ⋮ A model in one-dimensional thermoelasticity ⋮ General boundary stabilization of memory-type thermoelasticity ⋮ Remarks on propagation of singularities in thermoelasticity ⋮ On global solutions in one-dimensional thermoelasticity with second sound in the half line

Cites Work

• Global existence of small solutions to nonlinear evolution equations
• Existence and nonexistence in the large of solutions of quasilinear wave equations
• Blow-up in non-linear three-dimensional thermoelasticity
• Initial boundary value problems in one-dimensional non-linear thermoelasticity
• Development of singularities in solutions of the equations of nonlinear thermoelasticity
• Formation of singularities for wave equations including the nonlinear vibrating string
• Blow-up for quasi-linear wave equations in three space dimensions
• Global, small amplitude solutions to nonlinear evolution equations