3 citations · 5 across the 5 of their papers we have counts for
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Holder continuity of Keller-Segel equations of porous medium type coupled to fluid equations
Yun-Sung Chung, Sukjung Hwang, Kyungkeun Kang +1
We consider a coupled system consisting of a degenerate porous medium type of Keller-Segel system and Stokes system modeling the motion of swimming bacteria living in fluid and con…
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…
Magnetic resonance-based reconstruction method of conductivity and permittivity distributions at the Larmor frequency
Habib Ammari, Hyeuknam Kwon, Yoonseop Lee +2
Magnetic resonance electrical property tomography is a recent medical imaging modality for visualizing the electrical tissue properties of the human body using radio-frequency magn…
Electrical impedance tomography-based pressure-sensing using conductive membrane
Habib Ammari, Kyungkeun Kang, Kyounghun Lee +1
This paper presents a mathematical framework for a flexible pressure-sensor model using electrical impedance tomography (EIT). When pressure is applied to a conductive membrane pat…
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…