Preprint 2003-033

Stability conditions for strong rarefaction waves

Marta Lewicka

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

ut + 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.


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