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.

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Marta Lewicka, <>
Publishing information:
Submitted by:
<> May 9 2003.

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