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
On transport equations driven by a non-divergence-free force field
LODS, BERTRAND
2007-01-01
Abstract
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
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