paper

Stable-Range Approach to the Equation of Nonstationary Transonic Gas Flows

arXiv:0706.4189

Abstract

Using certain finite-dimensional stable range of the nonlinear terms, we obtain large families of exact solutions parameterized by functions for the equation of nonstationary transonic gas flows discovered by Lin, Reisner and Tsien, and its three-dimensional generalization.

19pages,accepted by Quarterly of Applied Mathematics