Shi Jin  

(Department of Mathematics,  
University of Wisconsin-Madison) 

Computation of Multivalued Solutions in Nonlinear PDEs

 

Abstract


Many physical problems arising from high frequency waves, dispersive waves or Hamiltonian systems require the computations of multivalued solutions which cannot be described by the viscosity methods.  In this talk I will review several recent numerical methods for such problems, including the moment methods, kinetic equations and the new level set method with S. Osher. Applications to the semiclassical Schroedinger equation and Euler-Piosson equations with applications to modulated electron beams in Klystrons will be discussed.
 
Last updated by fass@amadeus.math.iit.edu  on 04/23/03