Moment classification of infinite energy solutions to the homogeneous Boltzmann equation

Yoshinori Morimoto; Shuaikun Wang; Tong Yang

doi:10.1142/S0219530515500232

Moment classification of infinite energy solutions to the homogeneous Boltzmann equation

Yoshinori Morimoto
, Shuaikun Wang^*
, Tong Yang

^*Corresponding author for this work

Department of Mathematics

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

3 Citations (Scopus)

Abstract

In this paper, we will introduce a precise classification of characteristic functions in the Fourier space according to the moment constraint in the physical space of any order. Based on this, we construct measure-valued solutions to the homogeneous Boltzmann equation with the exact moment condition as the initial data.

Original language	English
Pages (from-to)	391-411
Journal	Analysis and Applications
Volume	15
Issue number	3
Online published	1 Oct 2015
DOIs	https://doi.org/10.1142/S0219530515500232
Publication status	Published - May 2017

Research Keywords

Boltzmann equation
characteristic functions
measure-valued solution
moment constraint

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10.1142/S0219530515500232

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@article{fab28cbc28494059b0d4f6842f62f53c,

title = "Moment classification of infinite energy solutions to the homogeneous Boltzmann equation",

abstract = "In this paper, we will introduce a precise classification of characteristic functions in the Fourier space according to the moment constraint in the physical space of any order. Based on this, we construct measure-valued solutions to the homogeneous Boltzmann equation with the exact moment condition as the initial data.",

keywords = "Boltzmann equation, characteristic functions, measure-valued solution, moment constraint",

author = "Yoshinori Morimoto and Shuaikun Wang and Tong Yang",

year = "2017",

month = may,

doi = "10.1142/S0219530515500232",

language = "English",

volume = "15",

pages = "391--411",

journal = "Analysis and Applications",

issn = "0219-5305",

publisher = "World Scientific",

number = "3",

}

TY - JOUR

T1 - Moment classification of infinite energy solutions to the homogeneous Boltzmann equation

AU - Morimoto, Yoshinori

AU - Wang, Shuaikun

AU - Yang, Tong

PY - 2017/5

Y1 - 2017/5

N2 - In this paper, we will introduce a precise classification of characteristic functions in the Fourier space according to the moment constraint in the physical space of any order. Based on this, we construct measure-valued solutions to the homogeneous Boltzmann equation with the exact moment condition as the initial data.

AB - In this paper, we will introduce a precise classification of characteristic functions in the Fourier space according to the moment constraint in the physical space of any order. Based on this, we construct measure-valued solutions to the homogeneous Boltzmann equation with the exact moment condition as the initial data.

KW - Boltzmann equation

KW - characteristic functions

KW - measure-valued solution

KW - moment constraint

UR - https://www.scopus.com/pages/publications/85017647802

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85017647802&origin=recordpage

U2 - 10.1142/S0219530515500232

DO - 10.1142/S0219530515500232

M3 - RGC 21 - Publication in refereed journal

SN - 0219-5305

VL - 15

SP - 391

EP - 411

JO - Analysis and Applications

JF - Analysis and Applications

IS - 3

ER -

Moment classification of infinite energy solutions to the homogeneous Boltzmann equation

Abstract

Research Keywords

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GRF: Regularization of Measure Valued Solutions to the Boltzmann Equation and Some Related Problems

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Moment classification of infinite energy solutions to the homogeneous Boltzmann equation

Abstract

Research Keywords

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GRF: Regularization of Measure Valued Solutions to the Boltzmann Equation and Some Related Problems

Cite this