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Volumn 333, Issue 9, 2001, Pages 897-902

The Navier-Stokes limit for the Boltzmann equation;La limite de Navier-Stokes pour l'équation de Boltzmann

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EID: 0011570574 PISSN: 07644442 EISSN: None Source Type: Journal
DOI: 10.1016/S0764-4442(01)02136-X Document Type: Article

Times cited : (16)

References (12)

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- Fluid dynamic limits of kinetic equations II: Convergence proofs for the Boltzmann equation
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- (1993) Commun. Pure & Appl. Math. , vol.46 , pp. 667-753
- Bardos, C.¹ Golse, F.² Levermore, C.D.³

3
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- The Boltzmann equation with a soft potential. I. Linear, spatially homogeneous
- Caflisch R. The Boltzmann equation with a soft potential. I. Linear, spatially homogeneous. Commun. Math. Phys. 74:1980;71-95.
- (1980) Commun. Math. Phys. , vol.74 , pp. 71-95
- Caflisch, R.¹

4
- 0004013162
- New York: Plenum Press
- Cercignani C. Mathematical Methods in Kinetic Theory. 1990;Plenum Press, New York.
- (1990) Mathematical Methods in Kinetic Theory
- Cercignani, C.¹

5
- 0001089576
- On the Cauchy problem for the Boltzmann equation: Global existence and weak stability results
- DiPerna R.J., Lions P.-L. On the Cauchy problem for the Boltzmann equation: global existence and weak stability results. Ann. Math. 130:1990;321-366.
- (1990) Ann. Math. , vol.130 , pp. 321-366
- Diperna, R.J.¹ Lions, P.-L.²

7
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- Preprint
- Golse F., Saint-Raymond L., The Navier-Stokes limit for the Boltzmann equation: convergence proof, Preprint.
- The Navier-Stokes Limit for the Boltzmann Equation: Convergence Proof
- Golse, F.¹ Saint-Raymond, L.²

8
- 0043251511
- Preprint
- 1 for the transport equation, Preprint.
- 1 for the Transport Equation
- Golse, F.¹ Saint-Raymond, L.²

9
- 0003138434
- Asymptotic theory of the Boltzmann equation. II
- Grad H. Asymptotic theory of the Boltzmann equation. II. Rarefied Gas Dynamics (Proc. 3rd Internat. Sympos., Palais de l'UNESCO, Paris, 1962). I:1963;26-59.
- (1963) Rarefied Gas Dynamics (Proc. 3rd Internat. Sympos., Palais de l'Unesco, Paris, 1962) , vol.1 , pp. 26-59
- Grad, H.¹

10
- 0042249038
- Conditions at infinity for Boltzmann's equation
- Lions P.-L. Conditions at infinity for Boltzmann's equation. Commun. Partial Differ. Eq. 19:1994;335-367.
- (1994) Commun. Partial Differ. Eq. , vol.19 , pp. 335-367
- Lions, P.-L.¹

11
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- From Boltzmann equations to Navier-Stokes equations I
- Lions P.-L., Masmoudi N. From Boltzmann equations to Navier-Stokes equations I. Arch. Rat. Mech. & Anal. 158:(3):2001;173-193.
- (2001) Arch. Rat. Mech. & Anal. , vol.158 , Issue.3 , pp. 173-193
- Lions, P.-L.¹ Masmoudi, N.²

12
- 0042750400
- Thèse de doctorat en mathématiques, Université Paris-7 (Denis-Diderot)
- Saint-Raymond L., Thèse de doctorat en mathématiques, Université Paris-7 (Denis-Diderot), 2000.
- (2000)
- Saint-Raymond, L.¹

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