Survey of initial value problem for the discrete Boltzmann equation

Henri Cabannes

doi:10.1007/bf02925441

Survey of initial value problem for the discrete Boltzmann equation

Rendiconti del Seminario Matematico e Fisico di Milano ◽

10.1007/bf02925441 ◽

1992 ◽

Vol 62 (1) ◽

pp. 139-156

Author(s):

Henri Cabannes

Keyword(s):

Boltzmann Equation ◽

Initial Value Problem ◽

Initial Value ◽

Discrete Boltzmann Equation

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Existence and Quantitative Analysis of the Solutions to the Initial Value Problem for the Discrete Boltzmann Equation in all Space

SIAM Journal on Applied Mathematics ◽

10.1137/0149074 ◽

1989 ◽

Vol 49 (4) ◽

pp. 1231-1241 ◽

Cited By ~ 3

Author(s):

M. Lachowicz ◽

R. Monaco

Keyword(s):

Quantitative Analysis ◽

Boltzmann Equation ◽

Initial Value Problem ◽

Initial Value ◽

Discrete Boltzmann Equation

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The discrete Boltzmann equation with multiple collisions: Global existence and stability for the initial value problem

Journal of Mathematical Physics ◽

10.1063/1.528866 ◽

1990 ◽

Vol 31 (1) ◽

pp. 245-253 ◽

Cited By ~ 16

Author(s):

N. Bellomo ◽

S. Kawashima

Keyword(s):

Boltzmann Equation ◽

Global Existence ◽

Initial Value Problem ◽

Initial Value ◽

Existence And Stability ◽

Multiple Collisions ◽

Discrete Boltzmann Equation

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On a method of solution of the initial value problem for the linearized Boltzmann equation

Theoretical and Mathematical Physics ◽

10.1007/bf01066495 ◽

1971 ◽

Vol 4 (2) ◽

pp. 817-825

Author(s):

A. D. Khon'kin

Keyword(s):

Boltzmann Equation ◽

Initial Value Problem ◽

Initial Value ◽

Linearized Boltzmann Equation ◽

Method Of Solution

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On the initial value problem for the Boltzmann equation with a force term

Transport Theory and Statistical Physics ◽

10.1080/00411458908214500 ◽

1989 ◽

Vol 18 (1) ◽

pp. 87-102 ◽

Cited By ~ 15

Author(s):

N. Bellomo ◽

M. Lachowicz ◽

A. Palczewski ◽

G. Toscani

Keyword(s):

Boltzmann Equation ◽

Initial Value Problem ◽

Force Term ◽

Initial Value ◽

The Boltzmann Equation

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Global solutions to the initial value problem for the nonlinear Boltzmann equation

Publications of the Research Institute for Mathematical Sciences ◽

10.2977/prims/1195190965 ◽

1976 ◽

Vol 12 (1) ◽

pp. 229-239 ◽

Cited By ~ 80

Author(s):

Takaaki Nishida ◽

Kazuo Imai

Keyword(s):

Boltzmann Equation ◽

Initial Value Problem ◽

Global Solutions ◽

Nonlinear Boltzmann Equation ◽

Initial Value

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The Initial Value Problem of the Boltzmann Equation and Its Fluid Dynamical Limit at the Level of Compressible Euler Equation

Nonlinear Evolution Equations ◽

10.1016/b978-0-12-195250-1.50007-2 ◽

1978 ◽

pp. 29-57 ◽

Cited By ~ 1

Author(s):

Takaaki Nishida

Keyword(s):

Boltzmann Equation ◽

Euler Equation ◽

Initial Value Problem ◽

Compressible Euler Equation ◽

Initial Value ◽

The Boltzmann Equation ◽

Compressible Euler

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Global solution of the initial value problem for the Boltzmann equation near a local Maxwellian

Archive for Rational Mechanics and Analysis ◽

10.1007/bf00281348 ◽

1988 ◽

Vol 102 (3) ◽

pp. 231-241 ◽

Cited By ~ 25

Author(s):

G. Toscani

Keyword(s):

Boltzmann Equation ◽

Global Solution ◽

Initial Value Problem ◽

Initial Value ◽

The Boltzmann Equation

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The initial value problem for nonlinear Boltzmann equation

Applications of Mathematics ◽

10.21136/am.1981.103895 ◽

1981 ◽

Vol 26 (1) ◽

pp. 59-67

Author(s):

Jan Kyncl

Keyword(s):

Boltzmann Equation ◽

Initial Value Problem ◽

Nonlinear Boltzmann Equation ◽

Initial Value

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A Quantum Boltzmann Equation for Haldane Statistics and Hard Forces; the Space-Homogeneous Initial Value Problem

Communications in Mathematical Physics ◽

10.1007/s00220-010-1046-3 ◽

2010 ◽

Vol 298 (2) ◽

pp. 573-583 ◽

Cited By ~ 4

Author(s):

L. Arkeryd

Keyword(s):

Boltzmann Equation ◽

Initial Value Problem ◽

Initial Value ◽

Quantum Boltzmann Equation

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Global solution of the initial value problem for a discrete velocity model of the Boltzmann equation

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.57.19 ◽

1981 ◽

Vol 57 (1) ◽

pp. 19-24 ◽

Cited By ~ 20

Author(s):

Shuichi Kawashima

Keyword(s):

Boltzmann Equation ◽

Global Solution ◽

Initial Value Problem ◽

Velocity Model ◽

Initial Value ◽

Discrete Velocity ◽

The Boltzmann Equation ◽

Discrete Velocity Model

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