SELF-SIMILAR SOLUTIONS FOR THE 2-D BURGERS SYSTEM IN INFINITE SUBSONIC CHANNELS

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 47, Issue 1, 2010, pp.29-37
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2010.47.1.029

Title & Authors

SELF-SIMILAR SOLUTIONS FOR THE 2-D BURGERS SYSTEM IN INFINITE SUBSONIC CHANNELS

Song, Kyung-Woo;

Song, Kyung-Woo;

Abstract

We establish the existence of weak solutions in an infinite subsonic channel in the self-similar plane to the two-dimensional Burgers system. We consider a boundary value problem in a fixed domain such that a part of the domain is degenerate, and the system becomes a second order elliptic equation in the channel. The problem is motivated by the study of the weak shock reflection problem and 2-D Riemann problems. The two-dimensional Burgers system is obtained through an asymptotic reduction of the 2-D full Euler equations to study weak shock reflection by a ramp.

Keywords

changing-type equations;degenerating quasilinear elliptic equations;self-similar solutions;2-D full Euler equations;

Language

English

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