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.
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