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NCTS Seminar on Kinetic Theory
 
11:00 - 12:00, January 29, 2019 (Tuesday)
Room 440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
On the Spatial Decay of the Boltzmann Equation with Hard Potentials
Haitao Wang (Shanghai Jiao Tong University)

Abstract:

We study the spatial decay of the solution to the Boltzmann equation with hard potentials for both linear and nonlinear problems. For the nonlinear study, we get the spatial behavior by using the nonlinear weighted energy estimate. This result can be viewed as a supplement to the existing wellposedness and time decay results. For the linear problem, we get the space-time pointwise behavior under some slow velocity decay assumption, which extends the classical results from hard sphere to hard potential. Both results reveal that hard sphere and hard potential models differ in their spatial behaviors. This is a joint work with Yu-Chu Lin and Kung-Chien Wu.



 

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