Initial-boundary value problems for nearly incompressible vector fields, and applications to the Keyfitz and Kranzer system

Initial-boundary value problems for nearly incompressible vector fields, and applications to the Keyfitz and Kranzer system
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几乎不可压缩矢量场的初始边值问题及其在 Keyfitz 和 Kranzer 系统中的应用

DOI:
10.1007/s00033-017-0883-8
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发表时间:
2016
期刊:
Zeitschrift für angewandte Mathematik und Physik
影响因子:
--
通讯作者:
L. Spinolo
L. Spinolo
中科院分区:
--
文献类型:
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作者:
Anupam Pal Choudhury;Gianluca Crippa;L. Spinolo

文献摘要

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建立了几乎不可压缩向量场初边值问题解的存在唯一性结果。然后,我们应用我们的研究结果,建立在几个空间维度的Keyfitz和Kranzer系统的守恒律的初边值问题的适定性。
We establish existence and uniqueness results for initial-boundary value problems with nearly incompressible vector fields. We then apply our results to establish well-posedness of the initial-boundary value problem for the Keyfitz and Kranzer system of conservation laws in several space dimensions.