Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501736 | Journal of Differential Equations | 2005 | 30 Pages |
Abstract
This work is a continuation of our previous work (Kong, J. Differential Equations 188 (2003) 242-271) “Global structure stability of Riemann solutions of quasilinear hyperbolic systems of conservation laws: shocks and contact discontinuities”. In the present paper we prove the global structure instability of the Lax's Riemann solution u=U(xt), containing rarefaction waves, of general nÃn quasilinear hyperbolic system of conservation laws. Combining the results in (Kong, 2003), we prove that the Lax's Riemann solution of general nÃn quasilinear hyperbolic system of conservation laws is globally structurally stable if and only if it contains only non-degenerate shocks and contact discontinuities, but no rarefaction waves and other weak discontinuities.
Keywords
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
De-Xing Kong,