TY - JOUR
T1 - Non-sharp travelling waves for a dual porous medium equation
AU - Li, Jing
AU - Wang, Yifu
AU - Yin, Jingxue
N1 - Publisher Copyright:
© 2016, American Institute of Mathematical Sciences. All rights reserved.
PY - 2016/3/1
Y1 - 2016/3/1
N2 - We discuss non-sharp travelling waves of a dual porous medium equation with monostable source and bistable source respectively. We show the existence of non-sharp travelling waves and find that though the equation is degenerate, the travelling waves are classical ones. Furthermore, for the monostable source, we show that the non-sharp travelling waves are infinite, while for the bistable source, the non-sharp travelling waves are semi-finite, which is in contrast with the case of the heat equation.
AB - We discuss non-sharp travelling waves of a dual porous medium equation with monostable source and bistable source respectively. We show the existence of non-sharp travelling waves and find that though the equation is degenerate, the travelling waves are classical ones. Furthermore, for the monostable source, we show that the non-sharp travelling waves are infinite, while for the bistable source, the non-sharp travelling waves are semi-finite, which is in contrast with the case of the heat equation.
KW - Dual porous medium equation
KW - Travelling wave
UR - https://www.scopus.com/pages/publications/85009786023
U2 - 10.3934/cpaa.2016.15.623
DO - 10.3934/cpaa.2016.15.623
M3 - Article
AN - SCOPUS:85009786023
SN - 1534-0392
VL - 15
SP - 623
EP - 636
JO - Communications on Pure and Applied Analysis
JF - Communications on Pure and Applied Analysis
IS - 2
ER -