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Existence of a classical solution to complex material flow problems
Author(s) -
Che Jiahang,
Chen Li,
Göttlich Simone,
Wang Jing
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3848
Subject(s) - mathematics , term (time) , flow (mathematics) , type (biology) , scheme (mathematics) , mathematical analysis , calculus (dental) , geometry , medicine , ecology , physics , dentistry , quantum mechanics , biology
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.
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