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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.AP2016
On the Geometric Regularity Conditions for the 3D Navier-Stokes Equations
Dongho Chae, Jihoon Lee
We prove geometrically improved version of Prodi-Serrin type blow-up criterion. Let and be the velocity and the vorticity of solutions to the 3D Navier-Stokes equations and…