3 citations · 4 across the 3 of their papers we have counts for
3 papers
math.AP2016★ 1 cited
Stability of planar traveling waves in a Keller-Segel equation on an infinite strip domain
Myeongju Chae, Kyudong Choi, Kyungkeun Kang +1
A simplified model of the tumor angiogenesis can be described by a Keller-Segel equation \cite{FrTe,Le,Pe}. The stability of traveling waves for the one dimensional system has rece…
math.AP2014
The stability of nonlinear Schrödinger equations with a potential in high Sobolev norms revisited
Myeongju Chae, Soonsik Kwon
We consider the nonlinear Schrödinger equations with a potential on . For almost all potentials, we show the almost global stability in very high Sobolev norms. We app…
math.AP2014★ 3 cited
Asymptotic behaviors of solutions for an aerobatic model coupled to fluid equations
Myeongju Chae, Kyungkeun Kang, Jihoon Lee
We consider coupled system of Keller-Segel type equations and the incompressible Navier-Stokes equations in spatial dimension two. We show temporal decay estimates of solutions wit…