Global in Time Madelung Transformation for Kolmogorov-Feller Pseudodifferential Equations

Details Global in Time Madelung Transformation for Kolmogorov-Feller Pseudodifferential Equations Global in Time Madelung Transformation for Kolmogorov-Feller Pseudodifferential Equations

2009-04-13

arxiv.org/abs/0904.1945v1

Physics

Mathematical Physics

Latex, 21p

Scientific paper

Using an idea going back to Madelung we construct global in time solutions to the transport equation corresponding to the asymptotic solution of the Kolmogorov-Feller equation describing a system with diffusion, potential and jump terms. To do that we use the construction of a generalized delta -shock solution of the continuity equation for a discontinuous velocity field. We also discuss corresponding problem of asymptotic solution construction (Maslov tunnel asymptotics).

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