Existence of a classical solution to complex material flow problems

Existence of a classical solution to complex material flow problems
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DOI：
10.1002/mma.3848
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发表时间：
2016-09
期刊：
Mathematical Methods in the Applied Sciences
影响因子：
2.9
通讯作者：
Jiahang Che;Li Chen;S. Göttlich;Jing Wang
Jiahang Che;Li Chen;S. Göttlich;Jing Wang
中科院分区：
数学4区
文献类型：
--
作者：
Jiahang Che;Li Chen;S. Göttlich;Jing Wang

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给出了一个复杂物流问题光滑解的存在性结果。所考虑的方程是包含非局部相互作用项的双曲型方程。存在性证明是基于一个问题适应的线性迭代格式，它利用了非局部项的结构条件。35Q70，35L65版权所有©2016 John Wiley&Sons，Ltd.
An existence result of smooth solutions for a complex material flow problem is provided. The considered equations are of hyperbolic type including a nonlocal interaction term. The existence proof is based on a problem‐adapted linear iteration scheme exploiting the structure conditions of the nonlocal term. 35Q70, 35L65 Copyright © 2016 John Wiley & Sons, Ltd.