54 citations · 59 across the 5 of their papers we have counts for
5 papers
N-barrier maximum principle for degenerate elliptic systems and its application
Li-Chang Hung, Hsiao-Feng Liu, Chiun-Chuan Chen
In this paper, we prove the N-barrier maximum principle, which extends the result in [5] from linear diffusion equations to nonlinear diffusion equations, for a wide class of degen…
An N-barrier maximum principle for autonomous systems of species and its application to problems arising from population dynamics
Chiun-Chuan Chen, Li-Chang Hung, Chen-Chih Lai
We show that the N-barrier maximum principle (NBMP) remains true for species. In addition, a stronger lower bound in NBMP is given by employing an improved tangent line…
Stationary solutions to the Poisson-Nernst-Planck equations with steric effects
Li-Chang Hung, Mach Nguyet Minh
Ion transport, the movement of ions across a cellular membrane, plays a crucial role in a wide variety of biological processes and can be described by the Poisson-Nernst-Planck equ…
A maximum principle for diffusive Lotka-Volterra systems of two competing species
Li-Chang Hung, Chiun-Chuan Chen
Using a new approach, we establish a maximum principle for diffusive Lotka-Volterra systems of two competing species. Under certain conditions we show this maximum principle leads…
Lower bound on the blow-up rate of the axisymmetric Navier-Stokes equations
Chiun-Chuan Chen, Robert M. Strain, Tai-Peng Tsai +1
Consider axisymmetric strong solutions of the incompressible Navier-Stokes equations in with non-trivial swirl. Such solutions are not known to be globally defined, but it i…