Computations of Multivalued Solutions of Nonlinear PDEs

Shi Jin
University of Wisconsin

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 level set methods. Applications to the semiclassical Schroedinger equation and Euler-Piosson
equations with applications to modulated electron beams in Klystrons,
and general symmetric hyperbolic systems
will be discussed.

Presentation (PDF File)

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