From the Boltzmann equations to the equations of incompressible fluid mechanics, II

Archive for Rational Mechanics and Analysis

Volumn 158, Issue 3, 2001, Pages 195-211

  Lions, P L ^a,b   Masmoudi, N ^a,b  

^a UNIVERSITÉ PARIS DAUPHINE   (France)

^b NEW YORK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035614842     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002050100144     Document Type: Article

References (14)

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2. C. BARDOS, F. GOLSE & C. D. LEVERMORE. The Stokes limit for the Boltzmann equation. Preprint, 2000.
3. C. BARDOS, F. GOLSE & D. LEVERMORE. Fluid dynamic limits of kinetic equations. I. Formal derivations. J. Statist. Phys. 63, 323-344, 1991.
4. C. CERCIGNANI. The Boltzmann equation and its applications. Springer-Verlag, New York, 1988.
5. C. CERCIGNANI, R. ILLNER & M. PULVIRENTI. The mathematical theory of dilute gases. Springer-Verlag, New York, 1994.
6. B. DESJARDINS, E. GRENIER, P.-L. LIONS & N. MASMOUDI. Incompressible limit for solutions of the isentropic Navier-Stokes equations with Dirichlet boundary conditions. J. Math. Pures Appl. (9), 78, 461-471, 1999.
7. R. J. DIPERNA & P.-L. LIONS. On the Cauchy problem for Boltzmann equations: global existence and weak stability. Ann. of Math. (2) 130, 321-366, 1989.
8. R. J. DIPERNA & P.-L. LIONS. Ordinary differential equations, transport theory and Sobolev spaces. Invent. Math. 98, 511-547, 1989.
9. P.-L. LIONS. Compactness in Boltzmann's equation via Fourier integral operators and applications. I. J. Math. Kyoto Univ. 34, 391-427, 1994.
10. P.-L. LIONS. Compactness in Boltzmann's equation via Fourier integral operators and applications. II. J. Math. Kyoto Univ. 34, 429-461, 1994.
11. P.-L. LIONS. Compactness in Boltzmann's equation via Fourier integral operators and applications. III. J. Math. Kyoto Univ. 34, 539-584, 1994.
12. P.-L. LIONS & N. MASMOUDI. Incompressible limit for a viscous compressible fluid. J. Math. Pures Appl. (9), 77, 585-627, 1998.
13. P.-L. LIONS & N. MASMOUDI. Une approche locale de la limite incompressible. C. R. Acad. Sci. Paris Sér. I Math. 329, 387-392, 1999.
14. P.-L. LIONS & N. MASMOUDI. From the Boltzmann equations to the equations of incompressible Fluid Mechanic, I. Arch. Rational Mech. Anal. 158, 173-193, 2001.