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Thermal Creep Flow for the Boltzmann Equation 被引量:1

Thermal Creep Flow for the Boltzmann Equation
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摘要 It is known that the Boltzmann equation has close relation to the classical systems in fluid dynamics. However, it provides more information on the microscopic level so that some phenomena, like the thermal creep flow, can not be modeled by the classical systems of fluid dynamics, such as the Euler equations. The author gives an example to show this phenomenon rigorously in a special setting. This paper is completely based on the author's recent work, jointly with Wang and Yang.
作者 Feimin HUANG
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2015年第5期855-870,共16页 数学年刊(B辑英文版)
关键词 Thermal creep flow Non-classical fluid system Boltzmann equation 欧拉方程 蠕变流动 经典系统 流体动力学 流体力学 作者
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  • 1Atkinson, F. V. and Peletier, L. A., Similarity solutions of the nonlinear diffusion equation, Arch. Rat.Mech. Anal., 54, 1974, 373-392.
  • 2Bardos, C., Golse, F. and Levermore, D., Fluid dynamic limits of kinetic equations, I, Formal derivations, J. Statis. Phys., 63,1991,323-344; II, Convergence proofs for the Boltzmann equation, Comm. Pure Appl. Math., 46, 1993, 667-753.
  • 3Bardos, C., Levermore, C., Ukai, S. and Yang, T., Kinetic equations: Fluid dynamical limits and viscous heating, Bull. Inst. Math. Acad. Sin. (N. S.), 3, 2008, 1-49.
  • 4Boltzmann, L., Lectures on Gas Theory, translated by G. Stephen Brush, Dover Publications, New York, 1964.
  • 5Cafiisch, R. E., The fluid dynamical limit of the nonlinear Boltzmann equation, Comm. Pure Appl. Math., 33, 1980, 491-508.
  • 6Cercignani, C., Illner, R. and Pulvirenti, M., The Mathematical Theory of Dilute Gases, Springer-Verlag, Berlin, 1994.
  • 7Chapman, S. and Cowling, T. G., The Mathematical Theory of Non-Uniform Gases, 3rd edition, Cambridge University Press, Cambridge, 1990.
  • 8Chen, C. C., Chen, 1. K., Liu, T. P. and Sone, Y., Thermal transpiration for the linearized Boltzmann equation, Comm. Pure Appl. Math., 60(2), 2007, 147-163.
  • 9Duyn, C. T. and Peletier, L. A., A class of similarity solution of the nonlinear diffusion equation, Nonlinear Analysis, T. M. A., 1, 1977, 223-233.
  • 10DiPerna, R. J. and Lions, P. L., On the Cauchy problem for Boltzmann equations: Global existence and weak stability, Annals of Mathematics, 130(2), 1989, 321-366.

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