Global existence and formation of singularities in thermoviscoelasticity of integral type∗

DOI10.1080/00036810108840908zbMath1031.35005OpenAlexW1522170193WikidataQ58242559 ScholiaQ58242559MaRDI QIDQ4411580

Song Jiang, Jaime Edilberto Muñoz Rivera

Publication date: 7 March 2004

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

Full work available at URL: https://doi.org/10.1080/00036810108840908

zbMATH Keywords

small datainitial boundary value problemlarge data

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Thermal effects in solid mechanics (74F05) Nonlinear constitutive equations for materials with memory (74D10) Singularity in context of PDEs (35A21)

Related Items

\(L^p-L^q\) decay estimates of solutions to Cauchy problems of thermoviscoelastic systems ⋮ Global existence and asymptotic behavior for one-dimensional thermoelasticity of integral type with hyperbolic heat conduction

Cites Work

• On formation of singularities in one-dimensional nonlinear thermoelasticity
• Development of singularities in the motion of materials with fading memory
• 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
• An application of the invariance principle to reaction diffusion equations
• Global Smooth Solutions to the Initial-Boundary Value Problem for the Equations of One-Dimensional Nonlinear Thermoviscoelasticity
• Global smooth thermomechanical processes in one-dimensional nonlinear thermoviscoelasticity