A SHOCK LAYER IN PARABOLIC PERTURBATIONS OF A SCALAR CONSERVATION LAW
A SHOCK LAYER IN PARABOLIC PERTURBATIONS OF A SCALAR CONSERVATION LAW
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DOI：
10.1017/s0013091502000548
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发表时间：
2003-06
影响因子：
0.7
通讯作者：
V. Shelukhin
中科院分区：
文献类型：
--
作者：
V. Shelukhin
摘要当抛物摄动作用于标量守恒律时，提出了厚度为$\delta$的激波层的定义。建立了渐近等式$\delta\asymp\sqrt{\vareps}$，其中$\vareps $表示粘性。这个等式被证明是最优的。然而，等式$\delta\asymp\vareptide $也被证明是有效的一类冲击根据米塞斯猜想。AMS 2000数学科目分类：小学35 L 67。35K65
Abstract A definition of a shock layer of thickness $\delta$ is proposed when a parabolic perturbation is applied to a scalar conservation law. The asymptotic equality $\delta\asymp\sqrt{\varepsilon}$ is established, where $\varepsilon$ denotes viscosity. This equality is proved to be optimal. Nevertheless, the equality $\delta\asymp\varepsilon$ is also proved to be valid for a class of shocks in accordance with the Mises conjecture. AMS 2000 Mathematics subject classification: Primary 35L67. Secondary 35K65