Stationary waves for the discrete Boltzmann equation in the half space with reflective boundaries

Communications in Mathematical Physics

Volumn 211, Issue 1, 2000, Pages 183-206

  Kawashima, Shuichi ^a   Nishibata, Shinya ^b  

^a KYUSHU UNIVERSITY   (Japan)

^b FUKUOKA INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034349434     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050808     Document Type: Article

References (14)

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3. 3. Cabannes, H.: The discrete Boltzmann equation (Theory and applications). Lecture Notes, Univ. of California, Berkeley, 1980
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5. 5. Gatignol, R.: Théorie Cinétique de Gaz à Répartition Discrète de Vitesses. Lecture Notes in Phys. 36, New York: Springer-Verlag, 1975
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10. 10. Kawashima, S. and Nishibata, S.: Existence of a stationary wave for the discrete Boltzmann equation in the half space. Commun. Math. Phys. to appear
11. 11. Nikkuni, Y.: Stability of stationary solutions to some discrete velocity model of the Boltzmann equation in the half-space. Funkcial. Ekvac. to appear
12. 12. Nikkuni, Y. and Kawashima, S.: Stability of stationary solutions to the half-space problem for the discrete Boltzmann equation with multiple collisions. Kyushu J. Math, to appear
13. 13. Shizuta, Y. and Kawashima, S.: Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation. Hokkaido Math. J. 14, 249-275 (1985)
14. 14. Ukai, S.: On the half-space problem for discrete velocity model of the Boltzmann equation. In: Advances in Nonlinear Partial Differential Equations and Stochastics, S. Kawashima and T. Yanagisawa (eds.), Series on Advances in Mathematics for Applied Sciences, 48, 1998, pp. 160-174