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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.…
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…