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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…