Initial-boundary value problem for one-dimensional wave solutions of the Boltzmann equation

Tai-Ping Liu; Shih-Hsien Yu

doi:10.1002/cpa.20172

Initial-boundary value problem for one-dimensional wave solutions of the Boltzmann equation

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.20172 ◽

2006 ◽

Vol 60 (3) ◽

pp. 295-356 ◽

Cited By ~ 30

Author(s):

Tai-Ping Liu ◽

Shih-Hsien Yu

Keyword(s):

Boltzmann Equation ◽

Boundary Value Problem ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

One Dimensional ◽

Wave Solutions ◽

The Boltzmann Equation ◽

Initial Boundary Value ◽

Dimensional Wave

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On the global solutions of the initial boundary value problem for the Boltzmann equation with an external force

Transport Theory and Statistical Physics ◽

10.1080/00411458708204312 ◽

1987 ◽

Vol 16 (4-6) ◽

pp. 735-761 ◽

Cited By ~ 7

Author(s):

Kiyoshi Asano

Keyword(s):

Boltzmann Equation ◽

Boundary Value Problem ◽

External Force ◽

Boundary Value ◽

Global Solutions ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

The Boltzmann Equation ◽

Initial Boundary Value

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On global existence theorems for the initial-boundary value problem for the Boltzmann equation

Asymptotic Modelling in Fluid Mechanics - Lecture Notes in Physics ◽

10.1007/3-540-59414-0_65 ◽

2008 ◽

pp. 165-178

Author(s):

Carlo Cercignani

Keyword(s):

Boltzmann Equation ◽

Global Existence ◽

Boundary Value Problem ◽

Existence Theorems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

The Boltzmann Equation ◽

Initial Boundary Value

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The Initial Boundary Value Problem for the Boltzmann Equation with Soft Potential

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-016-1038-3 ◽

2016 ◽

Vol 223 (1) ◽

pp. 463-541 ◽

Cited By ~ 7

Author(s):

Shuangqian Liu ◽

Xiongfeng Yang

Keyword(s):

Boltzmann Equation ◽

Boundary Value Problem ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Soft Potential ◽

The Boltzmann Equation ◽

Initial Boundary Value

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On the initial-boundary value problem for the Boltzmann equation

Archive for Rational Mechanics and Analysis ◽

10.1007/bf00375670 ◽

1992 ◽

Vol 116 (4) ◽

pp. 307-315 ◽

Cited By ~ 20

Author(s):

Carlo Cercignani

Keyword(s):

Boltzmann Equation ◽

Boundary Value Problem ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

The Boltzmann Equation ◽

Initial Boundary Value

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On existence of a global solution to the initial-boundary value problem for the Boltzmann equation

Siberian Mathematical Journal ◽

10.1007/bf00971249 ◽

1992 ◽

Vol 34 (1) ◽

pp. 128-138

Author(s):

A. Sakabekov

Keyword(s):

Boltzmann Equation ◽

Boundary Value Problem ◽

Global Solution ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

The Boltzmann Equation ◽

Initial Boundary Value

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Local solutions to the initial and initial boundary value problem for the Boltzmann equation with an external force I

Journal of Mathematics of Kyoto University ◽

10.1215/kjm/1250521326 ◽

1984 ◽

Vol 24 (2) ◽

pp. 225-238 ◽

Cited By ~ 24

Author(s):

Kiyoshi Asano

Keyword(s):

Boltzmann Equation ◽

Boundary Value Problem ◽

External Force ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

The Boltzmann Equation ◽

Local Solutions ◽

Initial Boundary Value

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A global existence theorem for the initial-boundary-value problem for the Boltzmann equation when the boundaries are not isothermal

Archive for Rational Mechanics and Analysis ◽

10.1007/bf00383222 ◽

1993 ◽

Vol 125 (3) ◽

pp. 271-287 ◽

Cited By ~ 32

Author(s):

Leif Arkeryd ◽

Carlo Cercignani

Keyword(s):

Boltzmann Equation ◽

Global Existence ◽

Boundary Value Problem ◽

Existence Theorem ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

The Boltzmann Equation ◽

Global Existence Theorem ◽

Initial Boundary Value

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Description of solutions to the initial-boundary-value problem for a wave equation on a one-dimensional spatial network in terms of the green function of the corresponding boundary-value problem for an ordinary differential equation

Journal of Mathematical Sciences ◽

10.1007/s10958-007-0485-7 ◽

2007 ◽

Vol 147 (1) ◽

pp. 6470-6482 ◽

Cited By ~ 1

Author(s):

V. L. Pryadiev

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Boundary Value Problem ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Spatial Network ◽

One Dimensional ◽

The Green Function ◽

Initial Boundary Value

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On an inverse initial-boundary value problem for a one-dimensional hyperbolic system of differential equations

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/bf02020479 ◽

1997 ◽

Vol 13 (1) ◽

pp. 33-44 ◽

Cited By ~ 1

Author(s):

Xueli Dou ◽

Benren Zhu

Keyword(s):

Differential Equations ◽

Boundary Value Problem ◽

Hyperbolic System ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

System Of Differential Equations ◽

One Dimensional ◽

Initial Boundary Value

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Local Solvability of Initial-Boundary Value Problem for One-Dimensional Equations of Polytropic Flows of Viscous Compressible Multifluids

Journal of Mathematical Sciences ◽

10.1007/s10958-018-3818-9 ◽

2018 ◽

Vol 231 (2) ◽

pp. 227-242 ◽

Cited By ~ 2

Author(s):

A. E. Mamontov ◽

D. A. Prokudin

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Local Solvability ◽

One Dimensional ◽

Initial Boundary Value

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