Global existence of solutions by path decomposition for a model of multiphase flow
Global existence of solutions by path decomposition for a model of multiphase flow
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DOI：
10.1090/s0033-569x-2012-01318-4
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发表时间：
2012-10
影响因子：
0.8
通讯作者：
F. Asakura;A. Corli
中科院分区：
文献类型：
--
作者：
F. Asakura;A. Corli
.考虑一维空间中三个守恒律的严格双曲型方程组。该系统是一个简单的模型，为一个流体的湍流经历液-汽相变。我们证明了，由前沿跟踪算法，弱解存在的条件下的所有时间的初始数据的变化（大）。一个原始的问题是相互作用的控制，通过分解的冲击波的路径。
. We consider a strictly hyperbolic system of three conservation laws, in one space dimension. The system is a simple model for a fluid flow undergoing liquid-vapor phase transitions. We prove, by a front-tracking algorithm, that weak solutions exist for all times under a condition on the (large) variation of the initial data. An original issue is the control of interactions by means of decompositions of shock waves into paths.