-
1
-
-
0003796630
-
-
Academic Press, New York
-
R. Adams, Sobolev Spaces, Academic Press, New York, 1985.
-
(1985)
Sobolev Spaces
-
-
Adams, R.1
-
2
-
-
0003200990
-
The mathematical theory of dilute gases
-
Springer-Verlag, New York
-
C. Cercignani, R. Illner, and M. Pulvirenti, The Mathematical Theory of Dilute Gases, Appl. Math. Sci. 106, Springer-Verlag, New York, 1994.
-
(1994)
Appl. Math. Sci.
, vol.106
-
-
Cercignani, C.1
Illner, R.2
Pulvirenti, M.3
-
3
-
-
0000195197
-
On long time asymptotics of the Vlasov-Poisson-Boltzmann equation
-
L. Desvillettes and J. Dolbeault, On long time asymptotics of the Vlasov-Poisson- Boltzmann equation, Comm. Partial Differential Equations, 16 (1995), pp. 451-489.
-
(1995)
Comm. Partial Differential Equations
, vol.16
, pp. 451-489
-
-
Desvillettes, L.1
Dolbeault, J.2
-
4
-
-
84990553444
-
Global weak solution of Vlasov-Maxwell systems
-
R. J. DiPerna and P.-L. Lions, Global weak solution of Vlasov-Maxwell systems, Comm. Pure Appl. Math., 42 (1989), pp. 729-757.
-
(1989)
Comm. Pure Appl. Math.
, vol.42
, pp. 729-757
-
-
Diperna, R.J.1
Lions, P.-L.2
-
5
-
-
42649118132
-
On the Cauchy problem for the Boltzmann equation in the whole space: Global existence and uniform stability in L2? (HN x )
-
R.-J. Duan, On the Cauchy problem for the Boltzmann equation in the whole space: Global existence and uniform stability in L2? (HN x ), J. Differential Equations, 244 (2008), pp. 3204- 3234.
-
(2008)
J. Differential Equations
, vol.244
, pp. 3204-3234
-
-
Duan, R.-J.1
-
7
-
-
33747711299
-
Boltzmann equation with external force and Vlasov-Poisson-Boltzmann system in infinite vacuum
-
R.-J. Duan, T. Yang, and C.-J. Zhu, Boltzmann equation with external force and Vlasov- Poisson-Boltzmann system in infinite vacuum, Discrete Contin. Dyn. Syst., 16 (2006), pp. 253-277. (Pubitemid 44367307)
-
(2006)
Discrete and Continuous Dynamical Systems
, vol.16
, Issue.1
, pp. 253-277
-
-
Duan, R.1
Yang, T.2
Zhu, C.3
-
8
-
-
33750826517
-
Existence of stationary solutions to the Vlasov-Poisson-Boltzmann system
-
DOI 10.1016/j.jmaa.2006.04.047, PII S0022247X06004148
-
R.-J. Duan, T. Yang, and C.-J. Zhu, Existence of stationary solutions to the Vlasov-Poisson- Boltzmann system, J. Math. Anal. Appl., 327 (2007), pp. 425-434. (Pubitemid 44712515)
-
(2007)
Journal of Mathematical Analysis and Applications
, vol.327
, Issue.1
, pp. 425-434
-
-
Duan, R.J.1
Yang, T.2
Zhu, C.J.3
-
9
-
-
0033244167
-
Decay of the linearized Boltzmann-Vlasov system
-
R. Glassey and W. Strauss, Decay of the linearized Boltzmann-Vlasov system, Transport Theory Statist. Phys., 28 (1999), pp. 135-156.
-
(1999)
Transport Theory Statist. Phys.
, vol.28
, pp. 135-156
-
-
Glassey, R.1
Strauss, W.2
-
10
-
-
0033460696
-
Perturbation of essential spectra of evolution operators and the Vlasov-Poisson-Boltzmann system
-
R. Glassey and W. Strauss, Perturbation of essential spectra of evolution operators and the Vlasov-Poisson-Boltzmann system, Discrete Contin. Dyn. Syst., 5 (1999), pp. 457-472.
-
(1999)
Discrete Contin. Dyn. Syst.
, vol.5
, pp. 457-472
-
-
Glassey, R.1
Strauss, W.2
-
11
-
-
0030587377
-
Steady states of the Vlasov-Poisson-Fokker-Planck system
-
DOI 10.1006/jmaa.1996.0360
-
R. Glassey, J. Schaeffer, and Y. Zheng, Steady states of the Vlasov-Poisson-Fokker-Planck System, J. Math. Anal. Appl., 202 (1996), pp. 1058-1075. (Pubitemid 126167123)
-
(1996)
Journal of Mathematical Analysis and Applications
, vol.202
, Issue.3
, pp. 1058-1075
-
-
Glassey, R.1
Schaeffer, J.2
Zheng, Y.3
-
12
-
-
8844227476
-
The Boltzmann equation in the whole space
-
DOI 10.1512/iumj.2004.53.2574
-
Y. Guo, The Boltzmann equation in the whole space, Indiana Univ. Math. J., 53 (2004), pp. 1081-1094. (Pubitemid 39532751)
-
(2004)
Indiana University Mathematics Journal
, vol.53
, Issue.4
, pp. 1081-1094
-
-
Guo, Y.1
-
13
-
-
0041413233
-
The Vlasov-Maxwell-Boltzmann system near Maxwellians
-
DOI 10.1007/s00222-003-0301-z
-
Y. Guo, The Vlasov-Maxwell-Boltzmann system near Maxwellians, Invent. Math., 153 (2003), pp. 593-630. (Pubitemid 37089571)
-
(2003)
Inventiones Mathematicae
, vol.153
, Issue.3
, pp. 593-630
-
-
Guo, Y.1
-
14
-
-
0036328887
-
The Vlasov-Poisson-Boltzmann System near Maxwellians
-
DOI 10.1002/cpa.10040
-
Y. Guo, The Vlasov-Poisson-Boltzmann system near Maxwellians, Comm. Pure Appl. Math., 55 (2002), pp. 1104-1135. (Pubitemid 37230342)
-
(2002)
Communications on Pure and Applied Mathematics
, vol.55
, Issue.9
, pp. 1104-1135
-
-
Guo, Y.1
-
15
-
-
0035531905
-
The Vlasov-Poisson-Boltzmann system near vacuum
-
DOI 10.1007/s002200100391
-
Y. Guo, The Vlasov-Poisson-Boltzmann system near vacuum, Comm. Math. Phys., 218 (2001), pp. 293-313. (Pubitemid 33382972)
-
(2001)
Communications in Mathematical Physics
, vol.218
, Issue.2
, pp. 293-313
-
-
Guo, Y.1
-
16
-
-
0038349585
-
The asymptotic behavior of globally smooth solutions of the multidimensional isentropic hydrodynamic model for semiconductors
-
DOI 10.1016/S0022-0396(03)00063-9
-
L. Hsiao, P. Markowich, and S. Wang, The asymptotic behavior of globally smooth solutions of the multidimensional isentropic hydrodynamic model for semiconductors, J. Differential Equations, 192 (2003), pp. 111-133. (Pubitemid 36809344)
-
(2003)
Journal of Differential Equations
, vol.192
, Issue.1
, pp. 111-133
-
-
Hsiao, L.1
Markowich, P.A.2
Wang, S.3
-
17
-
-
70349498827
-
Vlasov-Maxwell-Boltzmann diffusive limit
-
J. Jang, Vlasov-Maxwell-Boltzmann Diffusive Limit, Arch. Rational Mech. Anal., 194 (2009), pp. 531-584.
-
(2009)
Arch. Rational Mech. Anal.
, vol.194
, pp. 531-584
-
-
Jang, J.1
-
18
-
-
0003804415
-
-
2nd English ed., revised and enlarged, Science Publishers, New York, London, Paris
-
O. A. Ladyzhenskaya, The Mathematical Theory of Viscous Incompressible Flow, 2nd English ed., revised and enlarged, Science Publishers, New York, London, Paris, 1969.
-
(1969)
The Mathematical Theory of Viscous Incompressible Flow
-
-
Ladyzhenskaya, O.A.1
-
19
-
-
77950811145
-
Optimal decay rate of the compressible Navier-Stokes system in R3
-
online in
-
H.-L. Li, A. Matsumura, and G. Zhang, Optimal decay rate of the compressible Navier-Stokes system in R3, online in Arch. Rational Mech. Anal. (2009).
-
(2009)
Arch. Rational Mech. Anal.
-
-
Li, H.-L.1
Matsumura, A.2
Zhang, G.3
-
20
-
-
0346498040
-
Energy method for the Boltzmann equation
-
T.-P. Liu, T. Yang, and S.-H. Yu, Energy method for the Boltzmann equation, Phys. D, 188 (2004), pp. 178-192.
-
(2004)
Phys. D
, vol.188
, pp. 178-192
-
-
Liu, T.-P.1
Yang, T.2
Yu, S.-H.3
-
21
-
-
1842591085
-
Boltzmann equation: Micro-macro decompositions and positivity of shock profiles
-
T.-P. Liu and S.-H. Yu, Boltzmann equation: Micro-macro decompositions and positivity of shock profiles, Comm. Math. Phys., 246 (2004), pp. 133-179.
-
(2004)
Comm. Math. Phys.
, vol.246
, pp. 133-179
-
-
Liu, T.-P.1
Yu, S.-H.2
-
22
-
-
0003435706
-
-
Springer- Verlag, Vienna
-
P. A. Markowich, C. A. Ringhofer, and C. Schmeiser, Semiconductor Equations, Springer- Verlag, Vienna, 1990.
-
(1990)
Semiconductor Equations
-
-
Markowich, P.A.1
Ringhofer, C.A.2
Schmeiser, C.3
-
23
-
-
0034348887
-
On the initial boundary value problem for the Vlasov-Poisson-Boltzmann system
-
S. Mischler, On the initial boundary value problem for the Vlasov-Poisson-Boltzmann system, Comm. Math. Phys., 210 (2000), pp. 447-466.
-
(2000)
Comm. Math. Phys.
, vol.210
, pp. 447-466
-
-
Mischler, S.1
-
24
-
-
33749987309
-
The Vlasov-Maxwell-Boltzmann system in the whole space
-
R. M. Strain, The Vlasov-Maxwell-Boltzmann system in the whole space, Comm. Math. Phys., 268 (2006), pp. 543-567.
-
(2006)
Comm. Math. Phys.
, vol.268
, pp. 543-567
-
-
Strain, R.M.1
-
25
-
-
33750350446
-
Cauchy problem for the Vlasov-Poisson-Boltzmann system
-
T. Yang, H. J. Yu, and H. J. Zhao, Cauchy problem for the Vlasov-Poisson-Boltzmann system, Arch. Rational Mech. Anal., 182 (2006), pp. 415-470.
-
(2006)
Arch. Rational Mech. Anal.
, vol.182
, pp. 415-470
-
-
Yang, T.1
Yu, H.J.2
Zhao, H.J.3
-
26
-
-
33744762803
-
A new energy method for the Boltzmann equation
-
DOI 10.1063/1.2195528
-
T. Yang and H.-J. Zhao, A new energy method for the Boltzmann equation, J. Math. Phys., 47 (2006), article 053301. (Pubitemid 43823661)
-
(2006)
Journal of Mathematical Physics
, vol.47
, Issue.5
, pp. 053301
-
-
Yang, T.1
Zhao, H.-J.2
-
27
-
-
33750343166
-
Global existence of classical solutions to the Vlasov-Poisson-Boltzmann system
-
DOI 10.1007/s00220-006-0103-4
-
T. Yang and H.-J. Zhao, Global existence of classical solutions to the Vlasov-Poisson- Boltzmann system, Comm. Math. Phys., 268 (2006), pp. 569-605. (Pubitemid 44630349)
-
(2006)
Communications in Mathematical Physics
, vol.268
, Issue.3
, pp. 569-605
-
-
Yang, T.1
Zhao, H.2
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