@Article{JPDE-15-83, author = {Ping Zhang }, title = {Semiclassical Limit of Nonlinear Schrodinger Equation (II)}, journal = {Journal of Partial Differential Equations}, year = {2002}, volume = {15}, number = {2}, pages = {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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5450.html} }