scholarly journals A priori Estimates for the Incompressible Free-Boundary Magnetohydrodynamics Equations with Surface Tension

2021 ◽  
Vol 53 (2) ◽  
pp. 2595-2630
Author(s):  
Chenyun Luo ◽  
Junyan Zhang
Keyword(s):  
Surface Tension ◽  
Free Boundary ◽  
A Priori Estimates ◽  
A Priori ◽  
Magnetohydrodynamics Equations ◽  
Priori Estimates

A reaction-diffusion-advection competition model with a free boundary

2021 ◽  
Vol 65 (3) ◽  
pp. 25-37
Keyword(s):  
Free Boundary ◽  
A Priori Estimates ◽  
A Priori ◽  
Reaction Diffusion ◽  
Competition Model ◽  
Baseline Data ◽  
The Other ◽  
Quasilinear System ◽  
Priori Estimates ◽  
Competitive Diffusion

In this paper, we study a competitive diffusion quasilinear system with a free boundary. First, we investigate the mathematical questions of the problem. A priori estimates of Schauder type are established, which are necessary for the solvability of the problem. One of two competing species is an invader, which initially exists on a certain sub-interval. The other is initially distributed throughout the area under consideration. Examining the influence of baseline data on the success or failure of the first invasion. We conclude that there is a dichotomy of spread and extinction and give precise criteria for spread and extinction in this model.

Sign in / Sign up

Export Citation Format

Share Document