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

N. Bellomo; S. Kawashima

doi:10.1063/1.528866

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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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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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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Global existence, uniqueness, and continuous dependence for a semilinear initial value problem

Journal of Mathematical Analysis and Applications ◽

10.1016/s0022-247x(03)00126-4 ◽

2003 ◽

Vol 280 (2) ◽

pp. 413-423 ◽

Cited By ~ 4

Author(s):

Francisco Periago

Keyword(s):

Global Existence ◽

Initial Value Problem ◽

Continuous Dependence ◽

Initial Value

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STABILITY OF STATIONARY SOLUTIONS TO THE HALF-SPACE PROBLEM FOR THE DISCRETE BOLTZMANN EQUATION WITH MULTIPLE COLLISIONS

Kyushu Journal of Mathematics ◽

10.2206/kyushujm.54.233 ◽

2000 ◽

Vol 54 (2) ◽

pp. 233-255 ◽

Cited By ~ 21

Author(s):

Yoshiko NIKKUNI ◽

Shuichi KAWASHIMA

Keyword(s):

Boltzmann Equation ◽

Half Space ◽

Stationary Solutions ◽

Space Problem ◽

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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A note on a Discrete Boltzmann Equation with multiple collisions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2007.11.047 ◽

2008 ◽

Vol 341 (2) ◽

pp. 1476-1481

Author(s):

Filipe Oliveira ◽

Ana Jacinta Soares

Keyword(s):

Boltzmann Equation ◽

Multiple Collisions ◽

Discrete Boltzmann Equation

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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 existence for an abstract Riccati initial-value problem with possibly unbounded coefficients

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(92)90329-c ◽

1992 ◽

Vol 166 (1) ◽

pp. 103-111 ◽

Cited By ~ 1

Author(s):

Jong Juang ◽

Paul Nelson

Keyword(s):

Global Existence ◽

Initial Value Problem ◽

Initial Value ◽

Unbounded Coefficients

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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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