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所属单位：理学院

发表刊物：CHINESE ANNALS OF MATHEMATICS SERIES B

关键字：Boltzmann equation Large potential force Stability Entropy-energy inequality L-2 - L-infinity method

摘要：The Boltzmann equation with external potential force exists a unique equilibrium-local Maxwellian. The author constructs the nonlinear stability of the equilibrium when the initial datum is a small perturbation of the local Maxwellian in the whole space R-3. Compared with the previous result [Ukai, S., Yang, T. and Zhao, H.-J., Global solutions to the Boltzmann equation with external forces, Anal. Appl. (Singap.), 3, 2005, 157-193], no smallness condition on the Sobolev norm H-1 of the potential is needed in our arguments. The proof is based on the entropy-energy inequality and the L-2 - L-infinity estimates.

ISSN号：0252-9599

是否译文：否

发表时间：2018-09-01

通讯作者：杨秀绘