Large Solutions and Smoothing Properties for Nonlinear Thermoelastic Systems

✍ Scribed by Jaime E. Muñoz Rivera; Reinhard Racke

• Book ID: 102973092
• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 935 KB
• Volume: 127
• Category: Article
• ISSN: 0022-0396
• DOI: 10.1006/jdeq.1996.0078

✦ Synopsis

We study the existence of global solutions for large data for a class of systems of thermoelastic type with non-local nonlinearities. Moreover, we investigate smoothing properties of such coupled systems in an abstract setting, including some models for thermoelastic plates. In this setting, classical second-order thermoelasticity and viscoleasticity of integral type are recognized as limiting cases. Decay rates of Sobolev norms of the solutions as time tends to infinity are also investigated.