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Smoothing Effect and Propagations of Singularities for Viscoelastic Plates

✍ Scribed by Jaime E. Muñoz Rivera; Luci Harue Fatori

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
298 KB
Volume
206
Category
Article
ISSN
0022-247X

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✦ Synopsis

We study dissipative models for plates and we show that the solutions have a smoothing effect on the initial data for viscous plates, while for materials with memory the solution propagates singularities, that is, the solution of the plate equation of memory type is as regular as the initial data. Moreover, we show that when both dissipations are present, the memory type prevails in the sense that the solution propagates singularities. Finally, we prove the existence of global solutions for non-linear dissipative equations, with small data, which decay exponentially as time goes to infinity.

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