Shock wave formation process for a multidimensional scalar conservation law

Shock wave formation process for a multidimensional scalar conservation law
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多维标量守恒定律的冲击波形成过程

DOI：
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发表时间：
2011
期刊：
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通讯作者：
D. Mitrovic
D. Mitrovic
中科院分区：
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文献类型：
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作者：
V. Danilov;D. Mitrovic

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本文构造了一个描述冲击波形成过程的多维标量守恒律的全局光滑近似解。为了解决这一问题，我们对特征线法进行了改进，引入了“新特征线”.|不相交的曲线沿着，所研究的问题的（近似）解是常数。该程序是基于弱渐近方法，一种技术，这似乎是相当强大的调查非线性波的相互作用
We construct a global smooth approximate solution to a multidimensional scalar conservation law describing the shock wave formation process for initial data with small variation. In order to solve the problem, we modify the method of character- istics by introducing "new characteristics" | nonintersecting curves along which the (approximate) solution to the problem under study is constant. The procedure is based on the weak asymptotic method, a technique which appeared to be rather powerful for investigating nonlinear waves interactions