Year: 2002
Journal of Partial Differential Equations, Vol. 15 (2002), Iss. 2 : pp. 83–96
Abstract
In this paper, we use the Wigner measure approach to study the semiclassical limit of nonlinear Schrödinger equation in small time. We prove that: the limits of the quantum density: ρ^∈ =: |ψ^∈|² and the quantum momentum: J^∈ =: ∈Im(\overline{ψ^∈}∇ψ^∈) satisfy the compressible Euler equations before the formation of singularities in the limit system.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2002-JPDE-5450
Journal of Partial Differential Equations, Vol. 15 (2002), Iss. 2 : pp. 83–96
Published online: 2002-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Schrödinger