WKB analysis for nonlinear Schrödinger equations with potential
by Remi Carles (CNRS Bordeaux)
We justify the WKB analysis for the semi-classical nonlinear Schrödinger equation with a sub-quadratic potential. We present the geometrical and analytical tools which may be used to study the role of the potential and the nonlinearity respectively. In the last case we present, we construct solutions for some compressible Euler equations with unbounded source term and unbounded initial velocity.