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math.AP2022
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…
math.AP2019
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…
math.AP2019
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…