52 citations · 99 across the 15 of their papers we have counts for
15 papers
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…
Hölder regularity of solutions of the steady Boltzmann equation with soft potentials
Kung-Chien Wu, Kuan-Hsiang Wang
We consider the Hölder regularity of solutions to the steady Boltzmann equation with in-flow boundary condition in bounded and strictly convex domains for…
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…
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…
Anelastic Approximation of the Gross-Pitaevskii equation for General Initial Data
Chi-Kun Lin, Kung-Chien Wu
We perform a rigorous analysis of the anelastic approximation for the Gross-Pitaevskii equation with -dependent chemical potential. For general initial data and periodic boundar…
Cauchy problem and exponential stability for the inhomogeneous Landau equation
Kleber Carrapatoso, Isabelle Tristani, Kung-Chien Wu
This work deals with the inhomogeneous Landau equation on the torus in the cases of hard, maxwellian and moderately soft potentials. We first investigate the linearized equation an…
Global in Time Estimates for the Spatially Homogeneous Landau Equation with Soft Potentials
Kung-Chien Wu
This paper deals with some global in time a priori estimates of the spatially homogeneous Landau equation for soft potentials $\ga\in[-2,0)$. For the first result, we obtain the es…
An asymptotic limit of a Navier-Stokes system with capillary effects
A. Jüngel, C. -K. Lin, K. -C. Wu
A combined incompressible and vanishing capillarity limit in the barotropic compressible Navier-Stokes equations for smooth solutions is proved. The equations are considered on the…
Exponential Time Decay Estimates for the Landau Equation on Torus
Kung-Chien Wu
We study the time decay estimates for the linearized Landau equation on torus when the initial perturbation is not necessarily smooth. Our result reveals the kinetic and fluid aspe…
Pointwise Behavior of the Linearized Boltzmann Equation on Torus
Kung-Chien Wu
We study the pointwise behavior of the linearized Boltzmann equation on torus for non-smooth initial perturbation. The result reveals both the fluid and kinetic aspects of this mod…