Preprint 2003-033

Stability conditions for strong rarefaction waves

Abstract: In this paper we study a number of algebraic conditions connected with the stability of strictly hyperbolic n×n systems of conservation laws in one space dimension

u_t + f(u)_x = 0.

Such conditions yield existence and continuity of the flow of solutions in the vicinity of the reference solution. Our main concern is a single rarefaction wave having arbitrarily large strength.

Paper:

Available as PostScript (344 Kbytes) or gzipped PostScript (136 Kbytes; uncompress using gunzip).

Author(s):

Marta Lewicka, <lewicka@math.uchicago.edu>

Publishing information:

Comments:

Submitted by:

<lewicka@math.uchicago.edu> May 9 2003.