Well-posedness of scalar conservation laws with singular sources
نویسندگان
چکیده
منابع مشابه
Well-Posedness of Scalar Conservation Laws with Singular Sources
We consider scalar conservation laws with nonlinear singular sources with a concentration effect at the origin. We assume that the flux A is not degenerated and we study whether it is possible to define a well-posed limit problem. We prove that when A is strictly monotonic then the limit problem is well-defined and has a unique solution. The definition of this limit problem involves a layer whi...
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ژورنال
عنوان ژورنال: Methods and Applications of Analysis
سال: 2002
ISSN: 1073-2772,1945-0001
DOI: 10.4310/maa.2002.v9.n2.a6