Semiclassical Limit of the Non-linear Schroedinger-Poisson Equation With Subcritical Initial Data
Abstract
We study the semi-classical limit of the nonlinear Schroedinger-Poisson (NLSP) equation for initial data of the WKB type. The semi-classical limit in this case is realized in terms of a density-velocity pair governed by the Euler-Poisson equations. Recently we have shown that the isotropic Euler-Poisson equations admit a critical threshold phenomena, where initial data in the sub-critical regime give rise to globally smooth solutions. Consequently, we justify the semi-classical limit for sub-critical NLSP initial data and confirm the validity of the WKB method.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 2002
- Accession Number
- ADA458002
Entities
People
- Eitan Tadmor
- Hailiang Liu
Organizations
- Iowa State University