Hx, vs stability of the Boltzmann equation and Landau equation with soft potentials

Xuan Ma; Shuangqian Liu

doi:10.1016/j.amc.2009.11.011

H_{x, v}^s stability of the Boltzmann equation and Landau equation with soft potentials

Xuan Ma
, Shuangqian Liu

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

1 Citation (Scopus)

Abstract

Based on a unified energy method, the uniform-in-time stability of solutions in the space H_{x, v}^s is constructed for the both soft potential with angular cutoff and Landau collision kernels in the Boltzmann theory in the whole space. © 2009 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	3721-3730
Journal	Applied Mathematics and Computation
Volume	215
Issue number	10
DOIs	https://doi.org/10.1016/j.amc.2009.11.011
Publication status	Published - 15 Jan 2010
Externally published	Yes

Bibliographical 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].

Research Keywords

Boltzmann equation
Landau equation
Soft potentials
Uniform-in-time stability

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10.1016/j.amc.2009.11.011

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Cite this

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title = "Hx, vs stability of the Boltzmann equation and Landau equation with soft potentials",

abstract = "Based on a unified energy method, the uniform-in-time stability of solutions in the space Hx, vs is constructed for the both soft potential with angular cutoff and Landau collision kernels in the Boltzmann theory in the whole space. {\textcopyright} 2009 Elsevier Inc. All rights reserved.",

keywords = "Boltzmann equation, Landau equation, Soft potentials, Uniform-in-time stability",

author = "Xuan Ma and Shuangqian Liu",

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].",

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T1 - Hx, vs stability of the Boltzmann equation and Landau equation with soft potentials

AU - Ma, Xuan

AU - Liu, Shuangqian

N1 - 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].

PY - 2010/1/15

Y1 - 2010/1/15

N2 - Based on a unified energy method, the uniform-in-time stability of solutions in the space Hx, vs is constructed for the both soft potential with angular cutoff and Landau collision kernels in the Boltzmann theory in the whole space. © 2009 Elsevier Inc. All rights reserved.

AB - Based on a unified energy method, the uniform-in-time stability of solutions in the space Hx, vs is constructed for the both soft potential with angular cutoff and Landau collision kernels in the Boltzmann theory in the whole space. © 2009 Elsevier Inc. All rights reserved.

KW - Boltzmann equation

KW - Landau equation

KW - Soft potentials

KW - Uniform-in-time stability

UR - https://www.scopus.com/pages/publications/72749098989

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U2 - 10.1016/j.amc.2009.11.011

DO - 10.1016/j.amc.2009.11.011

M3 - RGC 21 - Publication in refereed journal

SN - 0096-3003

VL - 215

SP - 3721

EP - 3730

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 10

ER -