Bull. Korean Math. Soc. 1999; 36(4): 637-647
Printed December 1, 1999
Copyright © The Korean Mathematical Society.
YoonMee Ham
Kyonggi University
In this paper, we consider a free boundary problem with Pushchino dynamics satisfying the Dirichlet boundary condition. We shall show the stationary solutions $(v^*(x), s^*)$ exist and the Hopf bifurcation occurs at a critical point $\tau$ when $s^* \in (1/3, 1)$.
Keywords: Dirichlet boundary condition, free boundary problem, Hopf bifurcation
MSC numbers: Primary 35R35, 35B32; Secondary 35B25, 35K22, 35K57, 58F14, 58F22
2017; 54(2): 655-666
2016; 53(4): 1123-1148
2015; 52(4): 1113-1122
2013; 50(2): 353-373
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd