3 citations · 7 across the 13 of their papers we have counts for
10 papers · 1 filter
Propagation-Window Bounds in Degenerate Plant-Consumer Reaction-Diffusion Systems
Chiun-Chuan Chen, Ting-Yang Hsiao, Li-Chang Hung +2
We study traveling waves in high-dimensional plant--consumer reaction--diffusion systems with competing plants and associated consumers. We focus on the degenerate case in…
Generalization of Completely Monotone Conjecture for Tsallis entropy
Li-Chang Hung
We generalize the completely monotone conjecture ([CG15]) from Shannon entropy to the Tsallis entropy up for orders up to at least four. To this end, we employ the algorithm ([Jün1…
Nonlinear estimates for traveling wave solutions of reaction diffusion equations
Li-Chang Hung, Xian Liao
In this paper we will establish nonlinear a priori lower and upper bounds for the solutions to a large class of equations which arise from the study of traveling wave solutions of…
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…
Remark on the N-barrier method for a class of autonomous elliptic systems
Li-Chang Hung
In this note, we aim to extend the previous work on an N-barrier maximum principle (\cite{hung2015n,hung2015maximum}) to a more general class of systems of two equations. Moreover,…
Blow-up in reaction-diffusion systems under Robin boundary conditions
Li-Chang Hung
In this paper we apply the differential inequality technique of Payne {\it et. al} \cite{Payne&SchaeferRobin08} to show that a reaction-diffusion system admits blow-up solutions, a…
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…
An N-barrier maximum principle for elliptic systems arising from the study of traveling waves in reaction-diffusion systems
Li-Chang Hung
By employing the N-barrier method developed in the paper, we establish a new N-barrier maximum principle for diffusive Lotka-Volterra systems of two competing species. As an applic…
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…