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Conservation laws and null divergences

II. Non-negative divergences

Published online by Cambridge University Press:  24 October 2008

Peter J. Olver
Peter J. Olver
Affiliation:
School of Mathematics, University of Minnesota, Minneapolis, MN 55455, U.S.A.
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Abstract

It is shown that P, depending on x, u and derivatives of u, satisfies Div P ≥ 0 for all such x, u, if and only if Div p = Φ(x) ≥ 0 where Φ is independent of u. Applications to theories of continuum thermomechanics are discussed.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 97 , Issue 3 , May 1985 , pp. 511 - 514
Copyright
Copyright © Cambridge Philosophical Society 1985

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References

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