3 citations · 5 across the 11 of their papers we have counts for
11 papers
Global boundedness and blow-up in a repulsive chemotaxis-consumption system in higher dimensions
Jaewook Ahn, Kyungkeun Kang, Dongkwang Kim
This paper investigates the repulsive chemotaxis-consumption model \begin{align*} \partial_t u &= \nabla \cdot (D(u) \nabla u) + \nabla \cdot (u \nabla v), \\ 0 &= Δv - uv \end{ali…
On the existence of strong solutions for unsteady motions of incompressible chemically reacting generalized Newtonian fluids
Kyueon Choi, Kyungkeun Kang, Seungchan Ko
We consider a system of nonlinear partial differential equations modeling the unsteady motion of an incompressible generalized Newtonian fluid with chemical reactions. The system c…
Applications of the Green tensor estimates of the nonstationary Stokes system in the half space
Kyungkeun Kang, Baishun Lai, Chen-Chih Lai +1
In this paper, we present a series of applications of the pointwise estimates of the (unrestricted) Green tensor of the nonstationary Stokes system in the half space, established i…
Singular velocity of the Stokes and Navier-Stokes equations near boundary in the half space
TongKeun Chang, Kyungkeun Kang
Local behaviors near boundary are analyzed for solutions of the Stokes and Navier-Stoke equations in the half space with localized non-smooth boundary data. We construct solutions…
Global existence and asymptotic stability for the Toner-Tu model of flocking
Young-Pil Choi, Kyungkeun Kang, Woojae Lee
This paper deals with the Toner-Tu (TT) model, which is a hydrodynamic model describing the collective motion of numerous self-propelled agents. We analytically study the global-in…
Singular weak solutions near boundaries in a half space away from localized force for the Stokes and Navier-Stokes equations
Tongkeun Chang, Kyungkeun Kang
We prove that there exists a weak solution of the Stokes system with a non-zero external force and no-slip boundary conditions in a half space of dimensions three and higher so tha…