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math.AP2020★ 2 cited
Damping of kinetic transport equation with diffuse boundary condition
Jiaxin Jin, Chanwoo Kim
We prove that exponential moments of a fluctuation of the pure transport equation decay pointwisely almost as fast as when the domain is any general strictly convex subset…
math.AP2019
Instability of boundary equilibrium for Reaction-Diffusion system of a complex-balanced reaction network
Jiaxin Jin
In this paper we study the local instability to the boundary equilibria and the local stability to the positive equilibria for some chemical reaction-diffusion systems. We first an…
math.AP2018★ 1 cited
Convergence to the complex balanced equilibrium for some chemical reaction-diffusion systems with boundary equilibria
Gheorghe Craciun, Jiaxin Jin, Casian Pantea +1
In this paper we study the rate of convergence to the complex balanced equilibrium for some chemical reaction-diffusion systems with boundary equilibria. We first analyze a three-s…