Conservation laws and null divergences II. Non-negative divergences

Peter J. Olver

Research output: Contribution to journalArticlepeer-review


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 <p is independent of u. Applications to theories of continuum thermomechanics are discussed.

Original languageEnglish (US)
Pages (from-to)511-514
Number of pages4
JournalMathematical Proceedings of the Cambridge Philosophical Society
Issue number3
StatePublished - May 1985

Bibliographical note

Funding Information:
transitions held at the Mathematics Research Center of the University of Wisconsin. It is a pleasure to thank him for sparking my interest in the applications of these results to thermodynamics. This research was supported in part by NSF Grant MCS 81-00786.


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