Publications de Jean Dolbeault (12-02-2012)
128. Jean Dolbeault, Axel Klar, Clément Mouhot, and Christian Schmeiser. Exponential rate of convergence to equilibrium for a model describing fiber lay-down processes, Preprint Ceremade no. 1202, (2012).
127. Manuel del Pino and Jean Dolbeault. The Euclidean Onofri inequality in higher dimensions, Preprint Ceremade no. 1201, (2012).
126. Jean Dolbeault. Free energies, nonlinear flows and functional inequalities, Preprint Ceremade no. 1106, (2011).
125. Jean Dolbeault and Bruno Volzone. Improved Poincaré inequalities, Preprint Ceremade no. 1105, (2011).
124. Jean Dolbeault and Giuseppe Toscani. Improved Sobolev's inequalities, relative entropy and fast diffusion equations, Preprint Ceremade no. 1104, (2011).
123. Jean Dolbeault, Maria J. Esteban, Michael Loss. Symmetry of extremals of functional inequalities via spectral estimates for linear operators, Preprint Ceremade no. 1103, (2011).
122. Jean Dolbeault, Bruno Nazaret, and Giuseppe Savaré. From Poincaré to logarithmic Sobolev inequalities: a gradient flow approach, Preprint Ceremade no. 1102, (2011).
121. Jean Dolbeault. Sobolev and Hardy-Littlewood-Sobolev inequalities: duality and fast diffusion, Preprint Ceremade no. 1101, (2011).
120. J. Dolbeault. Relative equilibria in continuous stellar dynamics. In Oberwolfach reports 54/2010, editor, Classical and Quantum Mechanical Models of Many-Particle Systems, volume 7, pages 3181-3183. Organised by Anton Arnold, Wien Eric Carlen, Piscataway Laurent Desvillettes, European Mathematical Society, 2010
119. Jean Dolbeault and Maria J. Esteban. About existence, symmetry and symmetry breaking for extremal functions of some interpolation functional inequalities, Preprint Ceremade no. 1009, (2010).
118. J. Dolbeault and M. J. Esteban. Extremal functions in some interpolation inequalities: Symmetry, symmetry breaking and estimates of the best constants, pages 178-182. Proceedings of the QMath11 Conference Mathematical Results in Quantum Physics, World Scientific, 2011
117. J. Dolbeault, M. Esteban, G. Tarantello, and A. Tertikas. Radial symmetry and symmetry breaking for some interpolation inequalities. Calculus of Variations and Partial Differential Equations, 42: 461-485, 2011.
116. G. Aki, J. Dolbeault, C. Sparber. Thermal effects in gravitational Hartree systems. Annales Henri Poincaré, 12: 1055-1079, 2011.
115. Jean Dolbeault and Maria J. Esteban. Extremal functions for Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities, Preprint Ceremade no. 1005, (2010).
114. J. Dolbeault and G. Toscani. Fast diffusion equations: matching large time asymptotics by relative entropy methods. Kinetic and Related Models, 4 (3): 701-716, 2011
113. Jean Dolbeault, Clément Mouhot and Christian Schmeiser. Hypocoercivity for linear kinetic equations conserving mass, Preprint Ceremade no. 1003, (2010).
112. J. Dolbeault. Extremal functions and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities. In Oberwolfach reports 08/2010, editor, Optimal Constants in the Theory of Sobolev Spaces and PDEs, volume 7, pages 330-334. Organised by Andrea Cianchi, Firenze Maria J. Esteban, Paris Bernd Kawohl, K ̈oln, European Mathematical Society, 2010
111. J. Campos, M. del Pino, and J. Dolbeault. Relative equilibria in continuous stellar dynamics. Communications in Mathematical Physics, 300:765–788, 2010.
110. M. del Pino, J. Dolbeault, S. Filippas, and A. Tertikas. A logarithmic hardy inequality. Journal of Functional Analysis, 259 (8): 2045-2072, 2010.
109. P. Biler, L. Corrias, and J. Dolbeault. Large mass self-similar solutions of the parabolic-parabolic Keller-Segel model of chemotaxis. Journal of Mathematical Biology, 63: 1-32, 2011. 10.1007/s00285-010-0357-5.
108. Jean-Philippe Bartier, Adrien Blanchet, Jean Dolbeault, and Miguel Escobedo. Improved intermediate asymptotics for the heat equation. Applied Mathematics Letters, 24 (1): 76 - 81, 2011.
107. M. Bonforte, J. Dolbeault, G. Grillo, and J. L. Vázquez. Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities. Proceedings of the National Academy of Sciences, 107(38) :16459-16464, 2010.
106. J. Dolbeault, M. J. Esteban, M. Loss, and G. Tarantello. On the symmetry of extremals for the Caffarelli-Kohn-Nirenberg inequalities. Advanced Nonlinear Studies, 9:713-727, 2009.
105. J. Dolbeault and R. Stanczy. Non-existence and uniqueness results for supercritical semilinear elliptic equations. Annales Henri Poincare, 10 (7): 1311-1333, 02 2010.
104. A. Blanchet, J. Dolbeault, M. Escobedo, and J. Fernández, Asymptotic behaviour for small mass in the two-dimensional parabolic-elliptic Keller-Segel model, J. Math. Anal. Appl., 361 (2010), pp. 533-542.
103. J. Dolbeault, C. Mouhot, and C. Schmeiser. Hypocoercivity for kinetic equations with linear relaxation terms. Comptes Rendus Mathématique, 347(9-10): 511-516, 2009.
102. J. Dolbeault, M. J. Esteban, and G. Tarantello. Multiplicity results for the assigned Gauss curvature problem in R2. Nonlinear Analysis: Theory, Methods & Applications, 70(8):2870 - 2881, 2009. Liouville Theorems and Detours.
101. A. Blanchet, J. Dolbeault, and M. Kowalczyk, Travelling fronts in stochastic Stokes' drifts, Physica A: Statistical Mechanics and its Applications, 387 (2008), pp. 5741-5751.
100. A. Blanchet, J. Dolbeault, and M. Kowalczyk, Stochastic Stokes’ drift, homogenized functional inequalities, and large time behavior of brownian ratchets, SIAM Journal on Mathematical Analysis, 41 (2009), pp. 46 - 76.
99. R. Benguria, J. Dolbeault, and R. Monneau. Harnack inequalities and discrete—continuous error estimates for a chain of atoms with two—body interactions. Journal of Statistical Physics, 134(1):27-51, 01 2009.
98. J. Dolbeault, B. Nazaret, and G. Savaré. A new class of transport distances between measures. Calc. Var. Partial Differential Equations, 34(2):193-231, 2009.
97. J. Dolbeault, P. Felmer, and M. Lewin. Orbitally stable states in generalized Hartree-Fock theory. Mathematical Models and Methods in Applied Sciences, 19(3): 347-367, 2009.
96. J. Dolbeault, M. Esteban, and M. Loss. Characterization of the critical magnetic field in the Dirac-Coulomb equation. Journal of Physics A: Mathematical and Theoretical, 41(18):185303 (13pp), 2008.
95. J. Dolbeault, B. Nazaret, and G. Savaré, On the Bakry-Emery criterion for linear diffusions and weighted porous media equations., Commun. Math. Sci., 6 (2008), pp. 477-494.
94. J. Dolbeault, A. Laptev, and M. Loss. Lieb-Thirring inequalities with improved constants. J. Eur. Math. Soc. (JEMS), 10:1121?1126, 2008.
93. J. Dolbeault and C. Schmeiser, The two-dimensional Keller-Segel model after blow-up, Discrete and Continuous Dynamical Systems, 25 (2009), pp. 109-121.
92. A. Blanchet, M. Bonforte, J. Dolbeault, G. Grillo, and J. Vazquez. Asymptotics of the fast diffusion equation via entropy estimates. Archive for Rational Mechanics and Analysis, 191(2): 347-385, 02 2009.
91. J. Dolbeault, M. J. Esteban, and G. Tarantello, The role of Onofri type inequalities in the symmetry properties of extremals for Caffarelli-Kohn-Nirenberg inequalities, in two space dimensions, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 7 (2008), pp. 313–-341.
90. J. Dolbeault, I. Gentil, A. Guillin, and F.-Y. Wang, Lq-functional inequalities and weighted porous media equations, Potential Anal., 28 (2008), pp. 35-59.
89. R. Bosi, J. Dolbeault, and M. J. Esteban, Estimates for the optimal constants in multipolar Hardy inequalities for Schrödinger and Dirac operators, Commun. Pure Appl. Anal., 7 (2008), pp. 533–-562.
88. J. Dolbeault, M. J. Esteban, J. Duoandikoetxea, and L. Vega. Hardy-type estimates for Dirac operators. Annales Scientifiques de l’'École Normale Supérieure, 40 (6): 885-900, 2007.
87. J. Dolbeault and J. Fernández, Localized minimizers of flat rotating gravitational systems, Annales de l?Institut Henri Poincaré (C) Non Linear Analysis, 25 (2008), pp. 1043?1071.
86. A. Blanchet, M. Bonforte, J. Dolbeault, G. Grillo, and J.-L. Vázquez. Hardy-Poincaré inequalities and applications to nonlinear diffusions. C. R. Math. Acad. Sci. Paris, 344(7): 431-436, 2007.
85. J. Dolbeault, P. Felmer, and J. Mayorga-Zambrano. Compactness properties for trace-class operators and applications to quantum mechanics. Monatshefte für Mathematik, 155(1):43–66, 2008.
84. J. Dolbeault, M. J. Esteban, and M. Loss. Relativistic hydrogenic atoms in strong magnetic fields. Ann. Henri Poincaré, 8(4):749-779, 2007.
83. J. Dolbeault and G. Karch. Large time behaviour of solutions to nonhomogeneous diffusion equations. Banach Center Publ., 74:133-147, 2006.
82. A. Blanchet, J. Dolbeault, and B. Perthame. Two-dimensional Keller-Segel model: optimal critical mass and qualitative properties of the solutions. Electron. J. Differential Equations, pages No. 44, 32 pp. (electronic), 2006.
81. J.-P. Bartier, J. Dolbeault, R. Illner, and M. Kowalczyk. A qualitative study of linear drift-diffusion equations with time-dependent or degenerate coefficients. Math. Models Methods Appl. Sci., 17(3):327-362, 2007.
80. J. Dolbeault, M. J. Esteban, and E. Séré. General results on the eigenvalues of operators with gaps, arising from both ends of the gaps. Application to Dirac operators. J. Eur. Math. Soc. (JEMS), 8(2):243–-251, 2006.
79. Jose A. Carrillo, Jean Dolbeault, Ivan Gentil, Ansgar Jüngel. Erratum on "Entropy-energy inequalities and improved convergence rates for nonlinear parabolic equations", Preprint Ceremade no. 050b, (2005).
78. J. A. Carrillo, J. Dolbeault, I. Gentil, and A. Jüngel. Entropy-energy inequalities and improved convergence rates for nonlinear parabolic equations. Discrete Contin. Dyn. Syst. Ser. B, 6(5):1027-–1050 (electronic), 2006.
77. J. Dolbeault, P. Markowich, D. Oelz, and C. Schmeiser. Non linear diffusions as limit of kinetic equations with relaxation collision kernels. Archive for Rational Mechanics and Analysis, 186(1):133--158, 2007.
76. A. Arnold, J.-P. Bartier, and J. Dolbeault. Interpolation between logarithmic Sobolev and Poincaré inequalities. Communications in Mathematical Sciences, 5(4): 971-979, December 2007.
75. J. Dolbeault, P. Felmer, M. Loss, and E. Paturel. Lieb-Thirring type inequalities and Gagliardo-Nirenberg inequalities for systems. J. Funct. Anal., 238(1):193–-220, 2006.
74. J. Dolbeault, J. Fernández, and Ó. Sánchez. Stability for the gravitational Vlasov–Poisson system in dimension two. Communications in Partial Differential Equations, 31:1425–--1449, 2006.
73. J.-P. Bartier and J. Dolbeault. Convex Sobolev inequalities and spectral gap. C. R. Math. Acad. Sci. Paris, 342(5):307-–312, 2006.
72. A. Blanchet, J. Dolbeault, and R. Monneau. Erratum to On the continuity of the time derivative of the solution to the parabolic obstacle problem with variable coefficients: [J. Math. Pures Appl. 85 (3) (2006) 371-414]. Journal de Mathématiques Pures et Appliqués, 94: 447-449, 2010.
71. A.?Blanchet, J.?Dolbeault, and R.?Monneau. On the continuity of the time derivative of the solution to the parabolic obstacle problem with variable coefficients. J. Math. Pures Appl. (9), 85(3): 371-414, 2006.
70. A. Blanchet, J. Dolbeault, and R. Monneau. On the one-dimensional parabolic obstacle problem with variable coefficients. In Elliptic and parabolic problems, volume 63 of Progr. Nonlinear Differential Equations Appl., pages 59–-66. Birkhäuser, Basel, 2005.
69. J. Dolbeault and B. Perthame. Optimal critical mass in the two-dimensional Keller-Segel model in R2. C. R. Math. Acad. Sci. Paris, 339(9):611-–616, 2004.
68. J. Dolbeault, I. Gentil, and A. Jüngel. A logarithmic fourth-order parabolic equation and related logarithmic Sobolev inequalities. Commun. Math. Sci., 4(2):275–-290, 2006.
67. A. Arnold and J. Dolbeault. Refined convex Sobolev inequalities. J. Funct. Anal., 225(2):337–-351, 2005.
66. J. Dolbeault, P. Felmer, and R. Monneau. Symmetry and nonuniformly elliptic operators. Differential Integral Equations, 18(2):141-–154, 2005.
65. J. Dolbeault and I. Flores. Geometry of phase space and solutions of semilinear elliptic equations in a ball. Trans. Amer. Math. Soc., 359:4073-4087, 2007.
64. M. del Pino, J. Dolbeault, and M. Musso. Duality in sub-supercritical bubbling in the Brezis-Nirenberg problem near the critical exponent. In Partial differential equations and inverse problems, volume 362 of Contemp. Math., pages 339–-350. Amer. Math. Soc., Providence, RI, 2004.
63. A. Arnold, J. A. Carrillo, L. Desvillettes, J. Dolbeault, A. Jüngel, C. Lederman, P. A. Markowich, G. Toscani, and C. Villani. Entropies and equilibria of many-particle systems: an essay on recent research. Monatsh. Math., 142(1-2):35-–43, 2004.
62. M. del Pino, J. Dolbeault, and M. Musso. Multiple bubbling for the exponential nonlinearity in the slightly supercritical case. Commun. Pure Appl. Anal., 5(3):463–-482, 2006.
61. J. Dolbeault, D. Kinderlehrer, and M. Kowalczyk. Remarks about the flashing rachet. In Partial differential equations and inverse problems, volume 362 of Contemp. Math., pages 167–-175. Amer. Math. Soc., Providence, RI, 2004.
60. M. del Pino, J. Dolbeault, and M. Musso. The Brezis-Nirenberg problem near criticality in dimension 3. J. Math. Pures Appl. (9), 83(12):1405–-1456, 2004.
59. R. D. Benguria, I. Catto, J. Dolbeault, and R. Monneau. Oscillating minimizers of a fourth-order problem invariant under scaling. J. Differential Equations, 205(1):253–-269, 2004.
58. J. Dolbeault, M. J. Esteban, M. Loss, and L. Vega. An analytical proof of Hardy-like inequalities related to the Dirac operator. J. Funct. Anal., 216(1):1-–21, 2004.
57. M. del Pino, J. Dolbeault, and M. Musso. A phase plane analysis of the “multi-bubbling” phenomenon in some slightly supercritical equations. Monatsh. Math., 142(1-2):57–-79, 2004.
56. J. Dolbeault, Ó. Sánchez, and J. Soler. Asymptotic behaviour for the Vlasov-Poisson system in the stellar-dynamics case. Arch. Ration. Mech. Anal., 171(3):301–-327, 2004.
55. J. Dolbeault and M. Escobedo. L1 and Linfty intermediate asymptotics for scalar conservation laws. Asymptot. Anal., 41(3-4):189-–213, 2005.
54. J. Dolbeault, D. Kinderlehrer, and M. Kowalczyk. The flashing ratchet: long time behavior and dynamical systems interpretation. Technical report, Ceremade no. 0244, 2002.
53. M. Del Pino, J. Dolbeault, and I. Gentil. Nonlinear diffusions, hypercontractivity and the optimal Lp-Euclidean logarithmic Sobolev inequality. J. Math. Anal. Appl., 293(2):375–-388, 2004.
52. J. Dolbeault and R. Illner. Entropy methods for kinetic models of traffic flow. Commun. Math. Sci., 1(3):409–-421, 2003.
51. J. Dolbeault, M. J. Esteban, and E. Séré. About a non-homogeneous Hardy inequality and its relation with the spectrum of Dirac operators. Technical report, Séminaire Equations aux Dérivées Partielles de l?Ecole Polytechnique no. XVIII, 2002.
50. M. Del Pino, J. Dolbeault, and M. Musso. “Bubble-tower” radial solutions in the slightly supercritical Brezis-Nirenberg problem. J. Differential Equations, 193(2):280–-306, 2003.
49. J. Dolbeault and R. Monneau. On a Liouville type theorem for isotropic homogeneous fully nonlinear elliptic equations in dimension two. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 2(1):181-–197, 2003.
48. J. A. Carrillo, J. Dolbeault, P. A. Markowich, and C. Sparber. On the long-time behavior of the quantum Fokker-Planck equation. Monatsh. Math., 141(3):237–-257, 2004.
47. J. Dolbeault, M. J. Esteban, and E. Séré. A variational method for relativistic computations in atomic and molecular physics. International Journal of Quantum Chemistry, 93:149-155, 2003.
46. J. P. Desclaux, J. Dolbeault, M. J. Esteban, P. Indelicato, and E. Séré. Computational approaches of relativistic models in quantum chemistry. In Handbook of numerical analysis, Vol. X, Handb. Numer. Anal., X, pages 453–-483. North-Holland, Amsterdam, 2003.
45. N. Ben Abdallah and J. Dolbeault. Relative entropies for kinetic equations in bounded domains (irreversibility, stationary solutions, uniqueness). Arch. Ration. Mech. Anal., 168(4):253–-298, 2003.
44. M. J. Cáceres, J. A. Carrillo, and J. Dolbeault. Nonlinear stability in Lp for a confined system of charged particles. SIAM J. Math. Anal., 34(2):478-–494 (electronic), 2002.
43. M. Del Pino and J. Dolbeault. Nonlinear diffusions and optimal constants in Sobolev type inequalities: asymptotic behaviour of equations involving the p-Laplacian. C. R. Math. Acad. Sci. Paris, 334(5):365–-370, 2002.
42. C. Cid and J. Dolbeault. Defocusing nonlinear Schrödinger equation: confinement, stability and asymptotic stability. Technical report, Ceremade no. 010a, 2001.
41. M. Del Pino and J. Dolbeault. Asymptotic behavior of nonlinear diffusions. Math. Res. Lett., 10(4):551-–557, 2003.
40. M. Del Pino and J. Dolbeault. The optimal Euclidean Lp-Sobolev logarithmic inequality. J. Funct. Anal., 197(1):151–-161, 2003.
39. M. Del Pino and J. Dolbeault. Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions. J. Math. Pures Appl. (9), 81(9):847-–875, 2002.
38. J. Dolbeault and R. Monneau. Convexity estimates for nonlinear elliptic equations and application to free boundary problems. Ann. Inst. H. Poincaré Anal. Non Linéaire, 19(6):903–-926, 2002.
37. M. Balabane, J. Dolbeault, and H. Ounaies. Nodal solutions for a sublinear elliptic equation. Nonlinear Anal., 52(1):219-–237, 2003.
36. J. Dolbeault, M. J. Esteban, and M. Ramaswamy. Radial singular solutions of a critical problem in a ball. Differential Integral Equations, 15(12):1459–-1474, 2002.
35. P. Biler, J. Dolbeault, M. J. Esteban, P. A. Markowich, and T. Nadzieja. Steady states for streater’s energy-transport models of self-gravitating particles. IMA Vol. Math. Appl., 135:37-–56, 2004.
34. J. Dolbeault, P. A. Markowich, and A. Unterreiter. On singular limits of mean-field equations. Arch. Ration. Mech. Anal., 158(4):319–-351, 2001.
33. J. Dolbeault and R. Monneau. Convexity estimates for nonlinear elliptic equations and application to free boundary problem. C. R. Acad. Sci. Paris Sér. I Math., 331(10):771-–776, 2000.
32. P. Biler, J. Dolbeault, and M. J. Esteban. Intermediate asymptotics in L1 for general nonlinear diffusion equations. Appl. Math. Lett., 15(1):101–-107, 2002.
31. P. Biler, J. Dolbeault, M. J. Esteban, and G. Karch. Stationary solutions, intermediate asymptotics and large-time behaviour of type II Streater’s models. Adv. Differential Equations, 6(4):461-–480, 2001.
30. J. Dolbeault and P. Felmer. Monotonicity up to radially symmetric cores of positive solutions to nonlinear elliptic equations: local moving planes and unique continuation in a non-Lipschitz case. Nonlinear Anal., 58(3-4):299–-317, 2004.
29. J. Dolbeault, M. J. Esteban, E. Séré, and M. Vanbreugel. Minimization methods for the one-particle dirac equation. Physical Review Letters, 85(19):4020-4023, November 2000.
28. J. Dolbeault, M. J. Esteban, and E. Séré. Variational methods in relativistic quantum mechanics: new approach to the computation of Dirac eigenvalues. In Mathematical models and methods for ab initio quantum chemistry, volume 74 of Lecture Notes in Chem., pages 211–-226. Springer, Berlin, 2000.
27. J. Dolbeault and R. Monneau. Convexity properties of the free boundary and gradient estimates for quasi-linear elliptic equations. Technical report, Ceremade no. 9947.
26. J. Dolbeault and G. Rein. Time-dependent rescalings and Lyapunov functionals for the Vlasov-Poisson and Euler-Poisson systems, and for related models of kinetic equations, fluid dynamics and quantum physics. Math. Models Methods Appl. Sci., 11(3):407-–432, 2001.
25. L. Caffarelli, J. Dolbeault, P. A. Markowich, and C. Schmeiser. On Maxwellian equilibria of insulated semiconductors. Interfaces Free Bound., 2(3):331-–339, 2000.
24. J. Dolbeault, R. Illner, and H. Lange. On asymmetric quasiperiodic solutions of Hartree-Fock systems. J. Differential Equations, 178(2):314–-324, 2002.
23. P. Biler, J. Dolbeault, and P. A. Markowich. Large time asymptotics of nonlinear drift-diffusion systems with Poisson coupling. Transport Theory Statist. Phys., 30(4-6):521-–536, 2001. The Sixteenth International Conference on Transport Theory, Part II (Atlanta, GA, 1999).
22. J. Dolbeault and P. Felmer. Symétrie des solutions d’'équations semi-linéaires elliptiques. C. R. Acad. Sci. Paris Sér. I Math., 329(8):677-–682, 1999.
21. N. Ben Abdallah and J. Dolbeault. Relative entropies for the Vlasov-Poisson system in bounded domains. C. R. Acad. Sci. Paris Sér. I Math., 330(10):867–-872, 2000.
20. J. Dolbeault, M. J. Esteban, and E. Séré. On the eigenvalues of operators with gaps. Application to Dirac operators. J. Funct. Anal., 174(1):208–-226, 2000.
19. R. D. Benguria, J. Dolbeault, and M. J. Esteban. Classification of the solutions of semilinear elliptic problems in a ball. J. Differential Equations, 167(2):438–-466, 2000.
18. J. Dolbeault. An introduction to kinetic equations: the Vlasov-Poisson system and the Boltzmann equation. Discrete Contin. Dyn. Syst., 8(2):361–-380, 2002. Current developments in partial differential equations (Temuco, 1999).
17. P. Biler and J. Dolbeault. Long time behavior of solutions of Nernst-Planck and Debye-Hückel drift-diffusion systems. Ann. Henri Poincaré, 1(3):461–-472, 2000.
16. M. del Pino and J. Dolbeault. Generalized Sobolev inequalities and asymptotic behaviour in fast diffusion and porous medium problems. Technical report, Ceremade no. 9905, 1999.
15. J. Dolbeault and P. Felmer. Symmetry and monotonicity properties for positive solutions of semi-linear elliptic PDE’s. Comm. Partial Differential Equations, 25(5-6):1153-–1169, 2000.
14. J. Dolbeault. Time-dependent rescalings and Lyapunov functionals for some kinetic and fluid models. In Proceedings of the Fifth International Workshop on Mathematical Aspects of Fluid and Plasma Dynamics (Maui, HI, 1998), volume 29, pages 537-–549, 2000.
13. J. Dolbeault. Time-dependent rescalings and dispersion for the Boltzmann equation. Technical report, Ceremade no. 9845, 1998.
12. J. Dolbeault, M. J. Esteban, and E. Séré. Variational characterization for eigenvalues of Dirac operators. Calc. Var. Partial Differential Equations, 10(4):321–-347, 2000.
11. J. Dolbeault. Monokinetic charged particle beams: qualitative behavior of the solutions of the Cauchy problem and 2d time-periodic solutions of the Vlasov-Poisson system. Comm. Partial Differential Equations, 25(9-10):1567–-1647, 2000.
10. J. Dolbeault. Free energy and solutions of the Vlasov-Poisson-Fokker-Planck system: external potential and confinement (large time behavior and steady states). J. Math. Pures Appl. (9), 78(2):121-–157, 1999.
9. L. Desvillettes and J. Dolbeault. On long time asymptotics of the Vlasov-Poisson-Boltzmann equation. Comm. Partial Differential Equations, 16(2-3):451–-489, 1991.
8. J. Dolbeault. Kinetic models and quantum effects: a modified Boltzmann equation for Fermi-Dirac particles. Arch. Rational Mech. Anal., 127(2):101–-131, 1994.
7. J. Dolbeault. On long time asymptotics of the Vlasov-Poisson-Boltzmann system. In Nonlinear kinetic theory and mathematical aspects of hyperbolic systems (Rapallo, 1992), volume 9 of Ser. Adv. Math. Appl. Sci., pages 115–-123. World Sci. Publ., River Edge, NJ, 1992.
6. J. Dolbeault and F. Poupaud. A remark on the critical explosion parameter for a semilinear elliptic equation in a generic domain using an explosion time of an ordinary differential equation. Nonlinear Anal., 24(8):1149-–1162, 1995.
5. J. Dolbeault. Existence de solutions symétriques pour un modèle de champs de mésons: le modèle d’Adkins et Nappi. Comm. Partial Differential Equations, 15(12):1743–-1786, 1990.
4. F. Bouchut and J. Dolbeault. On long time asymptotics of the Vlasov-Fokker-Planck equation and of the Vlasov-Poisson-Fokker-Planck system with Coulombic and Newtonian potentials. Differential Integral Equations, 8(3):487-–514, 1995.
3. J. Dolbeault. Stationary states in plasma physics: Maxwellian solutions of the Vlasov-Poisson system. Math. Models Methods Appl. Sci., 1(2):183-–208, 1991.
2. J. Dolbeault. Solutions stationnaires de masse finie pour l'’équation de Vlasov avec potentiel central en dimension trois: une démonstration du théorème de Jeans. Technical report, Ceremade, 1996.
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