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math.AP2022
Asymptotic stability for diffusion with dynamic boundary reaction from Ginzburg-Landau energy
Yuan Gao, Jean-Michel Roquejoffre
The nonequilibrium process in dislocation dynamics and its relaxation to the metastable transition profile is crucial for understanding the plastic deformation caused by line defec…
math.AP2018
Large time behavior, bi-Hamiltonian structure and kinetic formulation for complex Burgers equation
Yu Gao, Yuan Gao, Jian-Guo Liu
We prove the existence and uniqueness of positive analytical solutions with positive initial data to the mean field equation (the Dyson equation) of the Dyson Brownian motion throu…