Existence and Stability of Multidimensional Transonic Shocks for the Euler Equations for Steady Potential Fluids in Unbounded Domains

Authors: Gui-Qiang Chen and Mikhail Feldman

Title: Existence and Stability of Multidimensional Transonic Shocks for the Euler Equations for Steady Potential Fluids in Unbounded Domains

Abstract
We are concerned with the existence and stability of multidimensional transonic shocks in inviscid compressible fluid dynamics. We discuss several recent results on the existence and stability of multidimensional transonic shocks for inviscid steady potential fluid flows, which are governed by the Euler equations consisting of the conservation law of mass and the Bernoulli law for velocity, in unbounded domains and present a nonlinear method for establishing these results.

This article has appeared in:
Hyperbolic Problems: Theory, Numerics, Applications (Volume 1), Springer-Verlag 129 ?? (eds.) Tom Hou and Eitan Tadmor, 2003

This paper is available in the following formats:

A closely related paper is change me.

Author Address
    Gui-Qiang Chen
    Department of Mathematics
    Northwestern University
    Evanston, IL 60208-2730
gqchen@math.northwestern.edu