The Godunov scheme for scalar conservation laws with discontinuous bell-shaped flux functions

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The Godunov scheme for scalar conservation laws with discontinuous bell-shaped flux functions

We consider hyperbolic scalar conservation laws with discontinuous flux function of the type ∂tu+ ∂xf(x, u) = 0 with f(x, u) = fL(u)1 R−(x) + fR(u)1 R+(x). Here fL,R are compatible bell-shaped flux functions as appear in numerous applications. In [1] and [2], it was shown that several notions of solution make sense, according to a choice of the so-called (A,B)-connection. In this note, we remar...

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ژورنال

عنوان ژورنال: Applied Mathematics Letters

سال: 2012

ISSN: 0893-9659

DOI: 10.1016/j.aml.2012.02.044