2 citations · 5 across the 9 of their papers we have counts for
9 papers
On conservative sticky peakons to the modified Camassa-Holm equation
Gao Yu
We use a sticky particle method to show global existence of (energy) conservative sticky -peakon solutions to the modified Camassa-Holm equation. A dispersion regularization is…
Joint space-time analyticity of mild solutions to the Navier-Stokes equations
Cong Wang, Yu Gao, Xiaoping Xue
In this paper, we show the optimal decay rate estimates of the space-time derivatives and the joint space-time analyticity of solutions to the Navier-Stokes equations. As it is kno…
Regularity structure of conservative solutions to the Hunter-Saxton equation
Yu Gao, Hao Liu, Tak Kwong Wong
In this paper we characterize the regularity structure, as well as show the global-in-time existence and uniqueness, of (energy) conservative solutions to the Hunter-Saxton equatio…
Optimal decay rates and space-time analyticity of solutions to the Patlak-Keller-Segel equations
Cong Wang, Yu Gao, Xiaoping Xue
Based on some elementary estimates for the space-time derivatives of the heat kernel, we use a bootstrapping approach to establish the optimal decay rates for the $L^q(\mathbb{R}^d…
Global existence and spatial analyticity for a nonlocal flux with fractional diffusion
Yu Gao, Cong Wang, Xiaoping Xue
In this paper, we study a one dimensional nonlinear equation with diffusion for and . We use a viscous-splitting algorithm to…
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…
A dispersive regularization for the modified Camassa-Holm equation
Yu Gao, Lei Li, Jian-Guo Liu
In this paper, we present a dispersive regularization for the modified Camassa-Holm equation (mCH) in one dimension, which is achieved through a double mollification for the system…
The modified Camassa-Holm equation in Lagrangian coordinates
Yu Gao, Jian-Guo Liu
In this paper, we study the modified Camassa-Holm (mCH) equation in Lagrangian coordinates. For some initial data , we show that classical solutions to this equation blow up i…
Patched peakon weak solutions of the modified Camassa-Holm equation
Yu Gao, Lei Li, Jian-Guo Liu
In this paper, we study traveling wave solutions and peakon weak solutions of the modified Camassa-Holm (mCH) equation with dispersive term for . We study t…