Accession Number:

ADA458002

Title:

Semiclassical Limit of the Non-linear Schroedinger-Poisson Equation With Subcritical Initial Data

Descriptive Note:

Journal article

Corporate Author:

IOWA STATE UNIV AMES DEPT OF MATHEMATICS

Personal Author(s):

Report Date:

2002-12-01

Pagination or Media Count:

17.0

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.

Subject Categories:

  • Theoretical Mathematics
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE