TY - JOUR
T1 - Semiclassical Limit of Nonlinear Schrodinger Equation (II)
JO - Journal of Partial Differential Equations
VL - 2
SP - 83
EP - 96
PY - 2002
DA - 2002/05
SN - 15
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5450.html
KW - Schrödinger
KW - compressible Euler
KW - Wigner transformation
KW - Wigner Measure
AB -  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.