Applied Math/PDE Seminar: Prof. Takayoshi Ogawa (Tohoku University), 'WKB approximation for nonlinear Schrodinger-Poisson system in two dimensions'

Event Date: 

Friday, March 15, 2013 -
3:00pm to 4:00pm

Event Location: 

  • 4607B South Hall

Event Contact: 

Carlos Garcia-Cervera

Email: cgarcia@math.ucsb.edu

The WKB approximation for the nonlinear Schrodinger-Poisson system (NSP) is considered. The system can be transformed into the compressible Euler-Poisson system with a so-called dispersive term by the well known Madlung transform. It is then expected that the solution to NSP system is approximating the solution to the compressible Euler-Poisson system. We show this holds for two dimensional case by applying the sharp order
estimate of the Gagliardo-Nirenberg inequality.

This is a joint work with S. Masaki (Hiroshima University).