15 citations · 20 across the 11 of their papers we have counts for
11 papers
Long-time Behaviour of DLRA for SDEs
Jianhai Bao, Haitao Wang, Yue Wu
We study dynamical orthogonal (DO) approximations of stochastic differential equations and investigate their long-time behaviour. The DO formulation represents the solution by a lo…
Space-time structure and particle-fluid duality of solutions for Boltzmann equation with hard potentials
Yu-Chu Lin, Haitao Wang, Kung-Chien Wu
We study the quantitative pointwise behavior of solutions to the Boltzmann equation for hard potentials and Maxwellian molecules, which generalize the hard sphere case introduced b…
3D hard sphere Boltzmann equation: explicit structure and the transition process from polynomial tail to Gaussian tail
Yu-Chu Lin, Haitao Wang, Kung-Chien Wu
We study the Boltzmann equation with hard sphere in a near-equilibrium setting. The initial data is compactly supported in the space variable and has a polynomial tail in the micro…
Stability of background perturbation for Boltzmann equation
Yu-Chu Lin, Haitao Wang, Kung-Chien Wu
Consider the Boltzmann equation in the perturbation regime. Since the macroscopic quantities in the background global Maxwellian are obtained through measurements, there are typica…
Space-time behavior of the solution to the Boltzmann equation with soft potentials
Yu-Chu Lin, Ming-Jiea Lyu, Haitao Wang +1
In this paper, we get the quantitative space-time behavior of the full Boltzmann equation with soft potentials () in the close to equilibrium setting, under some velocity d…
Compressible Navier-Stokes equation with BV initial data: Part II. Global stability
Haitao Wang, Shih-Hsien Yu, Xiongtao Zhang
In previous work \cite{W-Y-Z-local}, we studied the local well-posedness of weak solution to the 1-D full compressible Navier-Stokes equation with initial data of small total varia…
Quantitative Pointwise Estimate of the Solution of the Linearized Boltzmann Equation
Yu-Chu Lin, Haitao Wang, Kung-Chien Wu
We study the quantitative pointwise behavior of the solutions of the linearized Boltzmann equation for hard potentials, Maxwellian molecules and soft potentials, with Grad's angula…
Solving Linearized Landau Equation Pointwisely
Haitao Wang, Kung-Chien Wu
We study the pointwise (in the space and time variables) behavior of the linearized Landau equation for hard and moderately soft potentials. The solution has very clear description…
Smoothing effects and decay estimate of the solution of the linearized two species Landau equation
Yu-Chu Lin, Haitao Wang, Kung-Chien Wu
We study the Landau equation for a mixture of two species in the whole space, with initial condition of one species near a vacuum and the other near a Maxwellian equilibrium state.…
Explicit Structure of the Fokker-Planck Equation with potential
Yu-Chu Lin, Haitao Wang, Kung-Chien Wu
We study the pointwise (in the space and time variables) behavior of the Fokker-Planck Equation with flat confinement. The solution has very clear description in the plane, in…
Pointwise wave behavior of the Navier-Stokes equations in half space
Linglong Du, Haitao Wang
In this paper, we investigate the pointwise behavior of the solution for the compressible Navier-Stokes equations with mixed boundary condition in half space. Our results show that…