Coninuous Glimm-Type Functionals and Spreading of Rarefaction Waves
نویسندگان
چکیده
منابع مشابه
Continuous Glimm-type Functionals and Spreading of Rarefaction Waves∗
Several Glimm-type functionals for (piecewise smooth) approximate solutions of nonlinear hyperbolic systems have been introduced in recent years. In this paper, following a work by Baiti and Bressan on genuinely nonlinear systems we provide a framework to prove that such functionals can be extended to general functions with bounded variation and we investigate their lower semi-continuity proper...
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چکیده ندارد.
Hyperbolicity singularities in rarefaction waves∗
For mixed-type systems of conservation laws, rarefaction waves may contain states at the boundary of the elliptic region, where two characteristic speeds coincide, and the Lax family of the wave changes. Such contiguous rarefaction waves form a single fan with a continuous profile. Different pairs of families may appear in such rarefactions, giving rise to novel Riemann solution structures. We ...
متن کاملStability of Rarefaction Waves in Viscous Media
We study the time-asymptotic behavior of weak rarefaction waves of systems with strictly hyperbolic ux functions in one dimensional viscous uids. Our main result is to show that solutions of perturbed rarefaction data converge to an approximate, \Burgers"-rarefaction wave, for initial perturbations w 0 with small mass and localized as w 0 (x) = O(jxj ?1). The proof proceeds by iteration of a po...
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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 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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ژورنال
عنوان ژورنال: Communications in Mathematical Sciences
سال: 2004
ISSN: 1539-6746,1945-0796
DOI: 10.4310/cms.2004.v2.n2.a5