Semigroup decay of the linearized Boltzmann equation in a torus

Fucai Li, Kung-Chien Wu

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We study the semigroup decay of the linearized Boltzmann equation in general Banach spaces including Lx Lξ (β ≥ 0) and Lx pLξ q (1≤ p ≤ ∞, 1 < q < ∞) in a torus. Our results reveal that the size of the domain affects the decay rate of the solution.

Original languageEnglish
Pages (from-to)2729-2749
Number of pages21
JournalJournal of Differential Equations
Volume260
Issue number3
DOIs
Publication statusPublished - 2016 Feb 5

Fingerprint

Boltzmann equation
Banach spaces
Boltzmann Equation
Decay Rate
Torus
Semigroup
Banach space
Decay

All Science Journal Classification (ASJC) codes

  • Analysis

Cite this

@article{88a9a91560d64c57ad37877015acc29b,
title = "Semigroup decay of the linearized Boltzmann equation in a torus",
abstract = "We study the semigroup decay of the linearized Boltzmann equation in general Banach spaces including Lx ∞Lξ,β∞ (β ≥ 0) and Lx pLξ q (1≤ p ≤ ∞, 1 < q < ∞) in a torus. Our results reveal that the size of the domain affects the decay rate of the solution.",
author = "Fucai Li and Kung-Chien Wu",
year = "2016",
month = "2",
day = "5",
doi = "10.1016/j.jde.2015.10.012",
language = "English",
volume = "260",
pages = "2729--2749",
journal = "Journal of Differential Equations",
issn = "0022-0396",
publisher = "Academic Press Inc.",
number = "3",

}

Semigroup decay of the linearized Boltzmann equation in a torus. / Li, Fucai; Wu, Kung-Chien.

In: Journal of Differential Equations, Vol. 260, No. 3, 05.02.2016, p. 2729-2749.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Semigroup decay of the linearized Boltzmann equation in a torus

AU - Li, Fucai

AU - Wu, Kung-Chien

PY - 2016/2/5

Y1 - 2016/2/5

N2 - We study the semigroup decay of the linearized Boltzmann equation in general Banach spaces including Lx ∞Lξ,β∞ (β ≥ 0) and Lx pLξ q (1≤ p ≤ ∞, 1 < q < ∞) in a torus. Our results reveal that the size of the domain affects the decay rate of the solution.

AB - We study the semigroup decay of the linearized Boltzmann equation in general Banach spaces including Lx ∞Lξ,β∞ (β ≥ 0) and Lx pLξ q (1≤ p ≤ ∞, 1 < q < ∞) in a torus. Our results reveal that the size of the domain affects the decay rate of the solution.

UR - http://www.scopus.com/inward/record.url?scp=84950158979&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84950158979&partnerID=8YFLogxK

U2 - 10.1016/j.jde.2015.10.012

DO - 10.1016/j.jde.2015.10.012

M3 - Article

AN - SCOPUS:84950158979

VL - 260

SP - 2729

EP - 2749

JO - Journal of Differential Equations

JF - Journal of Differential Equations

SN - 0022-0396

IS - 3

ER -