On a comprehensive class of linear material lawsin classical mathematical physics

Rainer Picard

doi:10.3934/dcdss.2010.3.339

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2010, Volume 3, Issue 2: 339-349. Doi: 10.3934/dcdss.2010.3.339

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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

Received: January 31, 2009

Revised: July 31, 2009

Published: May 2010

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Abstract

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.

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Mathematics Subject Classification: Primary: 35F10; Secondary: 35A22, 74D05, 76A10.

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