带inflow边界条件的Landau方程解的性态研究

Acta mathematica scientia,Series A ›› 2020, Vol. 40 ›› Issue (4): 904-917.

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The Landau Equation with Inflow Boundary Condition in a Finite Channel

Liping Liu¹(),Hang Yang¹(),Xuan Ma^2,*()

¹ College of Information Science and Technology, Jinan University, Guangzhou 510632
² College of Mathematics and Computer Science, Wuhan Textile University, Wuhan 430073

Received:2019-10-15 Online:2020-08-26 Published:2020-08-20
Contact: Xuan Ma E-mail:llp@stu2018.jnu.edu.cn;yhang918@stu2018.jnu.edu.cn;xma@wtu.edu.cn
Supported by:
the NSFC(11601092);the NSFC(11971201)

Abstract

Abstract:

This paper is concerned with the inflow boundary value problem of the Landau equation in a finite channel. Based on an elementary energy method, a global strong solution is established for the corresponding problem in a new function space which has mild regularity in normal direction. Moreover, the large time behaviors and the regularity propagation of the solution are also obtained.

Key words: Landau equation, Energy estimation, Inflow boundary, Mild regularity

CLC Number:

O175.29

Liping Liu,Hang Yang,Xuan Ma. The Landau Equation with Inflow Boundary Condition in a Finite Channel[J].Acta mathematica scientia,Series A, 2020, 40(4): 904-917.

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References 11

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The Landau Equation with Inflow Boundary Condition in a Finite Channel

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