Stochastic Formulation for the Initial-Boundary Value Problems of the Boltzmann Equation

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-008-0139-z ◽

2008 ◽

Vol 192 (2) ◽

pp. 217-274 ◽

Author(s):

Shih-Hsien Yu

Keyword(s):

Boltzmann Equation ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Stochastic Formulation ◽

The Boltzmann Equation ◽

Initial Boundary Value

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Initial-boundary value problems of the Boltzmann equation at zero temperature

Transport Theory and Statistical Physics ◽

10.1080/00411459708224423 ◽

1997 ◽

Vol 26 (7) ◽

pp. 813-825 ◽

Author(s):

Ch. Dalitz

Keyword(s):

Boltzmann Equation ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Zero Temperature ◽

The Boltzmann Equation ◽

Initial Boundary Value

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Initial-Boundary value problems for the Boltzmann equation: Global existence of weak solutions

Archive for Rational Mechanics and Analysis ◽

10.1007/bf01837113 ◽

1992 ◽

Vol 119 (4) ◽

pp. 309-353 ◽

Author(s):

K. Hamdache

Keyword(s):

Boltzmann Equation ◽

Global Existence ◽

Boundary Value Problems ◽

Weak Solutions ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Existence Of Weak Solutions ◽

The Boltzmann Equation ◽

Initial Boundary Value

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Initial-boundary value problems for the boltzmann equation

Transport Theory and Statistical Physics ◽

10.1080/00411459608220711 ◽

1996 ◽

Vol 25 (3-5) ◽

pp. 425-436

Author(s):

Carlo Cercignani

Keyword(s):

Boltzmann Equation ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

The Boltzmann Equation ◽

Initial Boundary Value

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Fast Numerical Method for 2D Initial-Boundary Value Problems for the Boltzmann Equation

Parallel Processing and Applied Mathematics - Lecture Notes in Computer Science ◽

10.1007/978-3-642-55195-6_47 ◽

2014 ◽

pp. 499-509

Author(s):

Alexei Heintz ◽

Piotr Kowalczyk

Keyword(s):

Boltzmann Equation ◽

Boundary Value Problems ◽

Numerical Method ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

The Boltzmann Equation ◽

Initial Boundary Value

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Initial-boundary value problems for the Boltzmann equation

Series on Advances in Mathematics for Applied Sciences - Nonlinear Evolution Equations ◽

10.1142/9789812796509_0007 ◽

1993 ◽

pp. 131-175

Keyword(s):

Boltzmann Equation ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

The Boltzmann Equation ◽

Initial Boundary Value

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Global solutions to the initial-boundary value problems for the discrete Boltzmann equation

Nonlinear Analysis ◽

10.1016/0362-546x(91)90065-9 ◽

1991 ◽

Vol 17 (6) ◽

pp. 577-597 ◽

Author(s):

Shuichi Kawashima

Keyword(s):

Boltzmann Equation ◽

Boundary Value Problems ◽

Boundary Value ◽

Global Solutions ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Initial Boundary Value ◽

Discrete Boltzmann Equation

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Initial/boundary value problems for the semidiscrete Boltzmann equation: Analysis by Adomian's decomposition method

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(87)90219-8 ◽

1987 ◽

Vol 128 (1) ◽

pp. 112-124 ◽

Author(s):

N. Bellomo ◽

L. de Socio

Keyword(s):

Boltzmann Equation ◽

Boundary Value Problems ◽

Decomposition Method ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Adomian’S Decomposition Method ◽

Boltzmann Equation Analysis ◽

Equation Analysis ◽

Initial Boundary Value

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Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies

10.1007/978-3-662-06707-9 ◽

1988 ◽

Author(s):

Zhu You-lan ◽

Chen Bing-mu ◽

Zhong Xi-chang ◽

Zhang Zuo-min

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Difference Methods ◽

Initial Boundary Value

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ADAPTIVE WAVELET ALGORITHM FOR SOLVING NONLINEAR INITIAL–BOUNDARY VALUE PROBLEMS WITH ERROR CONTROL

International Journal for Multiscale Computational Engineering ◽

10.1615/intjmultcompeng.2018024915 ◽

2018 ◽

Vol 16 (1) ◽

pp. 19-43 ◽

Author(s):

C. Harnish ◽

Karel Matous ◽

D. Livescu

Keyword(s):

Boundary Value Problems ◽

Error Control ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Adaptive Wavelet ◽

Initial Boundary Value ◽

Wavelet Algorithm

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On the Construction of a General Solution for Initial Boundary Value Problems and Observation and Terminal Control Problems for Systems with Distributed Parameters

Telecommunications and Radio Engineering ◽

10.1615/telecomradeng.v54.i5-6.20 ◽

2000 ◽

Vol 54 (5-6) ◽

pp. 9-27

Author(s):

Vladimir Antonovich Stoyan ◽

Nikolay Fedorovich Kirichenko

Keyword(s):

General Solution ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Control Problems ◽

Terminal Control ◽

Initial Boundary Value Problems ◽

Distributed Parameters ◽

Initial Boundary Value ◽

Systems With Distributed Parameters

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