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Article Dans Une Revue Mathematical Methods in the Applied Sciences Année : 2007

On transport equations driven by a non-divergence-free force field

Résumé

The paper is devoted to initial boundary value problems for transport equations with non-divergence-free external field. The crucial role is played by integration along characteristics and associated Green's formula for which we provide a new proof which generalizes and clarifies previous versions. The paper concludes with an application of general theory to the Spencer-Lewis equation.

Dates et versions

hal-00472106 , version 1 (09-04-2010)

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Citer

Bertrand Lods, Luisa Arlotti, Jacek Banasiak. On transport equations driven by a non-divergence-free force field. Mathematical Methods in the Applied Sciences, 2007, 30 (17), pp.2155 - 2177 2155 - 2177. ⟨10.1002/mma.817⟩. ⟨hal-00472106⟩
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