An overview on some results concerning the transport equation and its applications to conservation laws

Gianluca Crippa; Laura V. Spinolo

doi:10.3934/cpaa.2010.9.1283

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2010, Volume 9, Issue 5: 1283-1293. Doi: 10.3934/cpaa.2010.9.1283

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An overview on some results concerning the transport equation and its applications to conservation laws

Gianluca Crippa^1, and
Laura V. Spinolo^2,

1.
Dipartimento di Matematica, Università degli Studi di Parma, viale G.P. Usberti 53/A (Campus), 43100 Parma
2.
Centro De Giorgi, Collegio Puteano, Scuola Normale Superiore, Piazza dei Cavalieri 3, 56126 Pisa

Received: August 2009

Revised: September 2009

Published: September 2010

Abstract / Introduction Related Papers Cited by

Abstract

We provide an informal overview on the theory of transport equa- tions with non smooth velocity fields, and on some applications of this theory to the well-posedness of hyperbolic systems of conservation laws.

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Mathematics Subject Classification: 35F10, 35L65.

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