On a nonstrictly hyperbolic system of conservation laws
نویسندگان
چکیده
منابع مشابه
RIEMANN PROBLEMS FOR NONSTRICTLY HYPERBOLIC 2x2 SYSTEMS OF CONSERVATION LAWS
The Riemann problem is solved for 2 x 2 systems of hyperbolic conservation laws having quadratic flux functions. Equations with quadratic flux functions arise from neglecting higher order nonlinear terms in hyperbolic systems that fail to be strictly hyperbolic everywhere. Such equations divide into four classes, three of which are considered in this paper. The solution of the Riemann problem i...
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Conservation laws are first order systems of quasilinear partial differential equations in divergence form; they express the balance laws of continuum physics for media with "elastic" response, in which internal dissipation is neglected. The absence of internal dissipation is manifested in the emergence of solutions with jump discontinuities across manifolds of codimension one, representing, in...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1985
ISSN: 0022-0396
DOI: 10.1016/0022-0396(85)90068-3