带特性通量的标量守恒定律

Pub Date : 2020-06-12 DOI:10.3336/gm.55.1.09

Nikola Konatar

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引用次数: 0

摘要

我们引入了一种新的方法来处理通量相对于空间变量不连续而相对于状态变量仅连续的标量守恒律，该方法采用了动力学公式的一种变体。我们利用它改进了一类非简并条件下具有卡拉多通量的非简并标量守恒律解的存在性结果。

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Scalar conservation laws with Charatheodory flux revisited

We introduce a new approach for dealing with scalar conservation laws with the flux discontinuous with respect to the space variable and merely continuous with respect to the state variable which employs a variant of the kinetic formulation. We use it to improve results about the existence of solutions for non-degenerate scalar conservation laws with Caratheodory flux under a variant of non-degeneracy conditions.

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