TY - JOUR
T1 - Traveling Waves in Degenerate Diffusion Equations
AU - Xu , Tianyuan
AU - Yin , Jingxue
JO - Communications in Mathematical Research 
VL - 1
SP - 36
EP - 53
PY - 2022
DA - 2022/10
SN - 39
DO - http://doi.org/10.4208/cmr.2021-0102
UR - https://global-sci.org/intro/article_detail/cmr/21077.html
KW - Traveling waves, degenerate diffusion equation, existence, stability.
AB - <p style="text-align: justify;">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.</p>