-
1
-
-
0001101971
-
Sur les limites asymptotiques de la théorie cinétique conduisant à la dynamique des fluides incompressibles
-
Bardos C., Golse F., Levermore D.: Sur les limites asymptotiques de la théorie cinétique conduisant à la dynamique des fluides incompressibles. C. R. Acad. Sci. Paris Sr. I Math. 309, 727-732 (1989).
-
(1989)
C.R. Acad. Sci. Paris Sr. I Math.
, vol.309
, pp. 727-732
-
-
Bardos, C.1
Golse, F.2
Levermore, D.3
-
2
-
-
0001076950
-
Fluid dynamic limits of kinetic equations I: Formal derivations
-
Bardos C., Golse F., Levermore D.: Fluid dynamic limits of kinetic equations I: formal derivations. J. Stat. Phys. 63, 323-344 (1991).
-
(1991)
J. Stat. Phys.
, vol.63
, pp. 323-344
-
-
Bardos, C.1
Golse, F.2
Levermore, D.3
-
3
-
-
84990619144
-
Fluid dynamic limits of kinetic equations II: Convergence proofs for the Boltzmann equation
-
Bardos C., Golse F., Levermore C. D.: Fluid dynamic limits of kinetic equations II: convergence proofs for the Boltzmann equation. Commun. Pure Appl. Math. 46, 667-753 (1993).
-
(1993)
Commun. Pure Appl. Math.
, vol.46
, pp. 667-753
-
-
Bardos, C.1
Golse, F.2
Levermore, C.D.3
-
4
-
-
0032138071
-
Acoustic and Stokes limits for the Boltzmann equation
-
Bardos C., Golse F., Levermore C. D.: Acoustic and Stokes limits for the Boltzmann equation. C. R. Acad. Sci. Paris 327, 323-328 (1999).
-
(1999)
C.R. Acad. Sci. Paris
, vol.327
, pp. 323-328
-
-
Bardos, C.1
Golse, F.2
Levermore, C.D.3
-
7
-
-
0004116529
-
-
Springer, New York
-
Cercignani, C., Illner, R., Pulvirenti, M.: The Mathematical Theory of Dilute Gases, Applied Mathematical Sciences, Vol. 106. Springer, New York, (1994).
-
(1994)
The Mathematical Theory of Dilute Gases, Applied Mathematical Sciences
, vol.106
-
-
Cercignani, C.1
Illner, R.2
Pulvirenti, M.3
-
8
-
-
0003545358
-
-
Chicago Lectures in Mathematics. The University of Chicago Press, Chicago, 1988
-
Constantin, P., Foias, C.: Navier-Stokes Equations. Chicago Lectures in Mathematics. The University of Chicago Press, Chicago, 1988.
-
Navier-Stokes Equations
-
-
Constantin, P.1
Foias, C.2
-
9
-
-
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, 321-366 (1990).
-
(1990)
Ann. Math.
, vol.130
, pp. 321-366
-
-
Diperna, R.J.1
Lions, P.-L.2
-
10
-
-
0003940944
-
-
Society for Industrial and Applied Mathematics (SIAM), Philadelphia
-
Glassey, R.: The Cauchy Problem in Kinetic Theory. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, 1996.
-
(1996)
The Cauchy Problem in Kinetic Theory
-
-
Glassey, R.1
-
11
-
-
0011238019
-
From kinetic to macroscopic models
-
(Eds. Perthame B. and Desvillettes L.) Series in Applied Mathematics. Gauthier-Villars, Paris
-
Golse, F.: From kinetic to macroscopic models. Kinetic Equations and Asymptotic Theory, Vol. 4 (Eds. Perthame B. and Desvillettes L.) Series in Applied Mathematics. Gauthier-Villars, Paris, 41-126, 2000.
-
(2000)
Kinetic Equations and Asymptotic Theory
, vol.4
, pp. 41-126
-
-
Golse, F.1
-
12
-
-
0036108339
-
Stokes-Fourier and acoustic limits for the Boltsmann equation: Convergence proofs
-
Golse F., Levermore C. D.: Stokes-Fourier and acoustic limits for the Boltsmann equation: convergence proofs. Commun. Pure Appl. Math. 55, 336-393 (2002).
-
(2002)
Commun. Pure Appl. Math.
, vol.55
, pp. 336-393
-
-
Golse, F.1
Levermore, C.D.2
-
13
-
-
45549114712
-
Regularity of the moments of the solution of a transport equation
-
Golse F., Lions P.-L., Perthame B., Sentis R.: Regularity of the moments of the solution of a transport equation. J. Funct. Anal. 76, 110-125 (1988).
-
(1988)
J. Funct. Anal.
, vol.76
, pp. 110-125
-
-
Golse, F.1
Lions, P.-L.2
Perthame, B.3
Sentis, R.4
-
14
-
-
29144479661
-
Un résultat de compacité pour l'équation de Boltzmann avec potentiel mou. Application au problème de demi-espace
-
Golse F., Poupaud F.: Un résultat de compacité pour l'équation de Boltzmann avec potentiel mou. Application au problème de demi-espace. C. R. Acad. Sci. Paris Sr. I Math. 303, 583-586 (1986).
-
(1986)
C.R. Acad. Sci. Paris Sr. I Math.
, vol.303
, pp. 583-586
-
-
Golse, F.1
Poupaud, F.2
-
17
-
-
0742323595
-
The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels
-
Golse F., Saint-Raymond L.: The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels. Invent. Math. 155, 81-161 (2004).
-
(2004)
Invent. Math.
, vol.155
, pp. 81-161
-
-
Golse, F.1
Saint-Raymond, L.2
-
19
-
-
0001294845
-
Principles of the kinetic theory of gases
-
(Ed. Flügge S.) Springer, Berlin
-
Grad, H.: Principles of the kinetic theory of gases. Handbuch der Physik, Vol. 12 (Ed. Flügge S.) Springer, Berlin, 205-294 (1958).
-
(1958)
Handbuch der Physik
, vol.12
, pp. 205-294
-
-
Grad, H.1
-
20
-
-
0001243518
-
Begründung der kinetischen Gastheorie
-
English: Foundations of the kinetic theory of gases. Kinetic Theory, Vol. 3 (Ed. Brush G.) Pergamon Press, Oxford, 89-101, 1972
-
Hilbert, D.: Begründung der kinetischen Gastheorie. Math. Annalen72, 562-577 (1912); English: Foundations of the kinetic theory of gases. Kinetic Theory, Vol. 3 (Ed. Brush G.) Pergamon Press, Oxford, 89-101, 1972.
-
(1912)
Math. Annalen
, vol.72
, pp. 562-577
-
-
Hilbert, D.1
-
21
-
-
77955376172
-
Remarks on the acoustic limits for the Boltzmann equation
-
submitted
-
Jiang, N., Levermore, C. D., Masmoudi, N.: Remarks on the acoustic limits for the Boltzmann equation. Commun. P. D. E., submitted 2009.
-
(2009)
Commun. P.D.E.
-
-
Jiang, N.1
Levermore, C.D.2
Masmoudi, N.3
-
23
-
-
51249193194
-
Sur le mouvement d'un fluide visqueux emplissant l'espace
-
Leray J.: Sur le mouvement d'un fluide visqueux emplissant l'espace. Acta Math. 63, 193-248 (1934).
-
(1934)
Acta Math.
, vol.63
, pp. 193-248
-
-
Leray, J.1
-
24
-
-
0040137074
-
Entropic convergence and the linearized limit for the Boltzmann equation
-
Levermore C. D.: Entropic convergence and the linearized limit for the Boltzmann equation. Commun. P. D. E. 18, 1231-1248 (1993).
-
(1993)
Commun. P.D.E.
, vol.18
, pp. 1231-1248
-
-
Levermore, C.D.1
-
25
-
-
77952009473
-
Compactness of the gain parts of the linearized Boltzmann operator with weakly cutoff kernels
-
submitted
-
Levermore, C. D., Sun, W.: Compactness of the gain parts of the linearized Boltzmann operator with weakly cutoff kernels. Commun. P. D. E., submitted 2009.
-
(2009)
Commun. P.D.E.
-
-
Levermore, C.D.1
Sun, W.2
-
26
-
-
0000834860
-
Compactness in Boltzmann's equation via Fourier integral operators and applications, I, II, & III
-
Lions, P.-L.: Compactness in Boltzmann's equation via Fourier integral operators and applications, I, II, & III. J. Math. Kyoto Univ. 34, 391-427, 429-461, 539-584 (1994).
-
(1994)
J. Math. Kyoto Univ.
, vol.34
-
-
Lions, P.-L.1
-
27
-
-
0032085754
-
Incompressible limit for a viscous compressible fluid
-
Lions P.-L., Masmoudi N.: Incompressible limit for a viscous compressible fluid. J. Math. Pures Appl. 77, 585-627 (1998).
-
(1998)
J. Math. Pures Appl.
, vol.77
, pp. 585-627
-
-
Lions, P.-L.1
Masmoudi, N.2
-
29
-
-
0035616508
-
From the Boltzmann equations to the equations of incompressible fluid mechanics, I
-
Lions P.-L., Masmoudi N.: From the Boltzmann equations to the equations of incompressible fluid mechanics, I. Archive Rat. Mech. Anal. 158, 173-193 (2001).
-
(2001)
Archive Rat. Mech. Anal.
, vol.158
, pp. 173-193
-
-
Lions, P.-L.1
Masmoudi, N.2
-
30
-
-
0035614842
-
From the Boltzmann equations to the equations of incompressible fluid mechanics II
-
Lions P.-L., Masmoudi N.: From the Boltzmann equations to the equations of incompressible fluid mechanics II. Archive Rat. Mech. Anal. 158, 195-211 (2001).
-
(2001)
Archive Rat. Mech. Anal.
, vol.158
, pp. 195-211
-
-
Lions, P.-L.1
Masmoudi, N.2
-
31
-
-
33846820019
-
Examples of singular limits in hydrodynamis
-
Elsevier/North-Holland, Amsterdam
-
Masmoudi, N.: Examples of singular limits in hydrodynamis. Evolutionary Equations, Handb. Differ. Equ., Vol. 3. Elsevier/North-Holland, Amsterdam, 195-276, 2007.
-
(2007)
Evolutionary Equations, Handb. Differ. Equ.
, vol.3
, pp. 195-276
-
-
Masmoudi, N.1
-
32
-
-
0042843384
-
From the Boltzmann equation to the Stokes-Fourier system in a bounded domain
-
Masmoudi N., Saint-Raymond L.: From the Boltzmann equation to the Stokes-Fourier system in a bounded domain. Commun. Pure Appl. Math 56, 1263-1293 (2003).
-
(2003)
Commun. Pure Appl. Math
, vol.56
, pp. 1263-1293
-
-
Masmoudi, N.1
Saint-Raymond, L.2
-
33
-
-
0036331819
-
Du modèl BGK de l'équation de Boltzmann aux équations d' Euler des fluides incompressibles
-
Saint-Raymond L.: Du modèl BGK de l'équation de Boltzmann aux équations d' Euler des fluides incompressibles. Bull. Sci. Math. 126, 493-506 (2002).
-
(2002)
Bull. Sci. Math.
, vol.126
, pp. 493-506
-
-
Saint-Raymond, L.1
-
34
-
-
0038030902
-
From the Boltzmann BGK equation to the Navier-Stokes system
-
Saint-Raymond L.: From the Boltzmann BGK equation to the Navier-Stokes system. Ann. Sci. École Norm. Sup. 36, 271-317 (2003).
-
(2003)
Ann. Sci. École Norm. Sup.
, vol.36
, pp. 271-317
-
-
Saint-Raymond, L.1
-
35
-
-
0037237744
-
Convergence of solutions to the Boltzmann equation in the incompressible Euler limit
-
Saint-Raymond L.: Convergence of solutions to the Boltzmann equation in the incompressible Euler limit. Archive Rat. Mech. Anal. 166, 47-80 (2003).
-
(2003)
Archive Rat. Mech. Anal.
, vol.166
, pp. 47-80
-
-
Saint-Raymond, L.1
-
36
-
-
77952011104
-
-
(preprint). Chapter I of Mathematical Problems Arising when Connecting Kinetic to Fluid Regimes. Ph. D. Dissertation, University of Maryland, 2008
-
Sun, W.: Fredholm Alternatives for Linearized Boltzmann Collision Operators with Weakly Cutoff Kernels, (preprint 2005). Chapter I of Mathematical Problems Arising when Connecting Kinetic to Fluid Regimes. Ph. D. Dissertation, University of Maryland, 2008.
-
(2005)
Fredholm Alternatives for Linearized Boltzmann Collision Operators with Weakly Cutoff Kernels
-
-
Sun, W.1
|