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June  2010, 3(2): 339-349. doi: 10.3934/dcdss.2010.3.339

On a comprehensive class of linear material laws in classical mathematical physics

Rainer Picard 1,

1. 

Institut für Analysis,Fachrichtung Mathematik, Technische Universität Dresden, D-01187 Dresden, Germany

Received  February 2009 Revised  August 2009 Published  April 2010

A class of evolutionary problems is considered, which covers a number of diverse initial boundary value problems of classical mathematical physics. The claim that this class is indeed to a large extent sufficiently general is exemplified by some specific models for visco-elastic solids.
Keywords: visco-elastic solids., material laws, evolutionary equations.
Mathematics Subject Classification: Primary: 35F10; Secondary: 35A22, 74D05, 76A1.
Citation: Rainer Picard. On a comprehensive class of linear material laws in classical mathematical physics. Discrete and Continuous Dynamical Systems - S, 2010, 3 (2) : 339-349. doi: 10.3934/dcdss.2010.3.339
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