Year: 2023
Author: Tianyuan Xu, Jingxue Yin
Communications in Mathematical Research , Vol. 39 (2023), Iss. 1 : pp. 36–53
Abstract
In this survey, we present a literature review on the study of traveling waves in degenerate diffusion equations by illustrating the interesting and singular wave behavior caused by degeneracy. The main results on wave existence and stability are presented for the typical degenerate equations, including porous medium equations, flux limited diffusion equations, delayed degenerate diffusion equations, and other strong degenerate diffusion equations.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmr.2021-0102
Communications in Mathematical Research , Vol. 39 (2023), Iss. 1 : pp. 36–53
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Traveling waves degenerate diffusion equation existence stability.
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