Moment inequalities for the Boltzmann equation and applications to spatially homogeneous problems

Journal of Statistical Physics

Volumn 88, Issue 5-6, 1997, Pages 1183-1214

  Bobylev, A V ^a,b  

^a TEXAS TECH UNIVERSITY   (United States)

^b KELDYSH INSTITUTE OF APPLIED MATHEMATICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031231967     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02732431     Document Type: Article

References (11)

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3. L. Desvillettes, Some applications of the method of moments for the homogeneous Boltzmann and Kac equations, Arch. Rational Mech. Anal. 123:387-400 (1993).
4. A. Ya. Povzner, On the Boltzmann equation in kinetic theory of gases, Mat. Shornik 58(100), No. 1:65-86 (1962) (In Russian).
5. C. Cercignani, R. Illner, and M. Pulvirenti, The Mathematical Theory of Dilute Gases (Springer, New York, 1994).
6. T. Elmroth, Global boundedness of moments of solutions of the Boltzmann equation for forces of infinite range, Arch. Rational Mech. Anal. 82:1-12 (1983).
7. W. Feller, An Introduction to Probability Theory and Its Applications, Vol. II (John Wiley and Sons, New York, 1971).
8. K. M. Case and P. Zweifel, Linear Transport Theory (Reading, Addison-Wesley, 1967).
9. I. S. Gradsteyn and I. M. Ryzhik, Tables of Integrals, Series and Products (Academic Press, San Diego, 1980).
10. z-estimates for the space homogeneous Boltzmann equation, J. Stat. Phys. 31:347-361 (1982).
11. A. V. Bobylev and G. Toscani, Generalization of the Boltzmann H-theorem for Maxwell gas, J. Math. Phys. 33:443-476 (1992).