Regularizing effects for the classical solutions to the Landau equation in the whole space

Shuangqian Liu; Xuan Ma

doi:10.1016/j.jmaa.2014.03.006

Author(s)

Shuangqian Liu
Xuan Ma

Detail(s)

Original language	English
Pages (from-to)	123-143
Journal / Publication	Journal of Mathematical Analysis and Applications
Volume	417
Issue number	1
Publication status	Published - 1 Sept 2014
Externally published	Yes

Link(s)

DOI	DOI https://doi.org/10.1016/j.jmaa.2014.03.006 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-84897963621&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(54bc48c5-8a4c-40fe-a2a6-448393bd28c7).html

Abstract

The Landau equation describes the binary collisional effects (through long range coulombian interaction) in a plasma. In this paper, we prove that the known classical solutions to the Landau equation near Maxwellian in the whole space have a regularizing effect in all (time, space and velocity) variables, that is, become immediately smooth with respect to all variables. © 2014 Elsevier Inc.

Research Area(s)

Hypo-elliptic estimate, Landau equation, Regularizing effect

Bibliographic Note

Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

Citation Format(s)

[ RIS ] [ BibTeX ]

Regularizing effects for the classical solutions to the Landau equation in the whole space. / Liu, Shuangqian; Ma, Xuan.
In: Journal of Mathematical Analysis and Applications, Vol. 417, No. 1, 01.09.2014, p. 123-143.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Liu, S & Ma, X 2014, 'Regularizing effects for the classical solutions to the Landau equation in the whole space', Journal of Mathematical Analysis and Applications, vol. 417, no. 1, pp. 123-143. https://doi.org/10.1016/j.jmaa.2014.03.006

Liu, S., & Ma, X. (2014). Regularizing effects for the classical solutions to the Landau equation in the whole space. Journal of Mathematical Analysis and Applications, 417(1), 123-143. https://doi.org/10.1016/j.jmaa.2014.03.006

Liu S, Ma X. Regularizing effects for the classical solutions to the Landau equation in the whole space. Journal of Mathematical Analysis and Applications. 2014 Sept 1;417(1):123-143. doi: 10.1016/j.jmaa.2014.03.006

Liu, Shuangqian ; Ma, Xuan. / Regularizing effects for the classical solutions to the Landau equation in the whole space. In: Journal of Mathematical Analysis and Applications. 2014 ; Vol. 417, No. 1. pp. 123-143.