Jem. Rivera et R. Racke, LARGE SOLUTIONS AND SMOOTHING PROPERTIES FOR NONLINEAR THERMOELASTIC SYSTEMS, Journal of differential equations, 127(2), 1996, pp. 454-483
We study the existence of global solutions for large data for a class
of systems of thermoelastic type with non-local nonlinearities. Moreov
er, we investigate smoothing properties of such coupled systems in an
abstract setting, including some models for thermoelastic plates. In t
his setting, classical second-order thermoelasticity and viscoleastici
ty of integral type are recognized as limiting cases. Decay rates of S
obolev norms of the solutions as time tends to infinity are also inves
tigated. (C) 1996 Academic Press, Inc.