31 citations · 64 across the 11 of their papers we have counts for
6 papers · 1 filter
Front location determines convergence rate to traveling waves
Jing An, Christopher Henderson, Lenya Ryzhik
We propose a novel method for establishing the convergence rates of solutions to reaction-diffusion equations to traveling waves. The analysis is based on the study of the travelin…
Voting models and semilinear parabolic equations
Jing An, Christopher Henderson, Lenya Ryzhik
We present probabilistic interpretations of solutions to semi-linear parabolic equations with polynomial nonlinearities in terms of the voting models on the genealogical trees of b…
Quantitative steepness, semi-FKPP reactions, and pushmi-pullyu fronts
Jing An, Christopher Henderson, Lenya Ryzhik
We uncover a seemingly previously unnoticed algebraic structure of a large class of reaction-diffusion equations and use it, in particular, to study the long time behavior of the s…
Pushed, pulled and pushmi-pullyu fronts of the Burgers-FKPP equation
Jing An, Christopher Henderson, Lenya Ryzhik
We consider the long time behavior of the solutions to the Burgers-FKPP equation with advection of a strength . This equation exhibits a transition from pulled to p…
On the gradient flow structure of the isotropic Landau equation
Jing An, Lexing Ying
We prove that the isotropic Landau equation equipped with the Coulomb potential introduced by Krieger-Strain and Gualdani-Guillen can be identified with the gradient flow of the en…
Global well-posedness for the Euler alignment system with mildly singular interactions
Jing An, Lenya Ryzhik
We consider the Euler alignment system with mildly singular interaction kernels. When the local repulsion term is of the fractional type, global in time existence of smooth solutio…