Nonclassical Shocks and the Cauchy Problem for Nonconvex Conservation Laws
نویسندگان
چکیده
منابع مشابه
Transport-Equilibrium Schemes for Computing Nonclassical Shocks. Scalar Conservation Laws
This paper presents a very efficient numerical strategy for computing the weak solutions of scalar conservation laws which fail to be genuinely nonlinear. We concentrate on the typical situation of either concave-convex or convex-concave flux functions. In such a situation, nonclassical shocks violating the classical Oleinik entropy criterion must be taken into account since they naturally aris...
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Hailiang Liu1, , Jinghua Wang2, , Gerald Warnecke3, 1 Department of Mathematics, UCLA, Los Angeles, CA 90095–1555, USA; e-mail: [email protected] 2 Institute of Systems Science, Academia Sinica, Beijing 100080, People’s Republic of China; e-mail: [email protected] 3 IAN, Otto-von-Guericke-Universität Magdeburg, Postfach 4120, 39016 Magdeburg, Germany; e-mail: [email protected]...
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The Riemann initial value problem is studied for scalar conservation laws whose uxes have a single innection point. For a regularization consisting of balanced diiusive and dispersive terms, the traveling wave criterion is used to select admissible shocks. In some cases, the Riemann problem solution contains an undercompressive shock. The analysis is illustrated by exploring parameter space for...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1999
ISSN: 0022-0396
DOI: 10.1006/jdeq.1998.3513