Global solutions of the Neumann problem in one-dimensional nonlinear thermoelasticity

DOI10.1016/0362-546X(92)90114-TzbMath0770.73009MaRDI QIDQ3362753

Song Jiang

Publication date: 1992

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

uniquenessfree energyglobal existencelinearized equationsdisplacementdisplacement gradientconstitutive functions\(L(2)\)-energy method

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15)

Related Items (1)

Well-posedness and exponential decay for a porous thermoelastic system with second sound and a time-varying delay term in the internal feedback

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On formation of singularities in one-dimensional nonlinear thermoelasticity
• On the Cauchy problem in nonlinear 3-D-thermoelasticity
• Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity
• Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity
• On smooth solutions of the Cauchy problem in one-dimensional nonlinear thermoelasticity
• Global existence of smooth solutions in one-dimensional nonlinear thermoelasticity
• Blow-up in non-linear three-dimensional thermoelasticity
• On some quasilinear hyperbolic-parabolic initial boundary value problems
• Development of singularities in solutions of the equations of nonlinear thermoelasticity

This page was built for publication: Global solutions of the Neumann problem in one-dimensional nonlinear thermoelasticity