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Volumn 244, Issue 12, 2008, Pages 3060-3079

Regularities of the solutions to the Fokker-Planck-Boltzmann equation

Author keywords

Fokker Planck Boltzmann equation; Regularity; Smoothness

Indexed keywords


EID: 42649130013     PISSN: 00220396     EISSN: 10902732     Source Type: Journal    
DOI: 10.1016/j.jde.2008.02.036     Document Type: Article
Times cited : (5)

References (13)
  • 1
    • 18844411595 scopus 로고    scopus 로고
    • Littlewood-Paley theory and regularity issues in Boltzmann homogeneous equations. I. Non-cutoff case and Maxwellian molecules
    • Alexandre R., and El Safadi M. Littlewood-Paley theory and regularity issues in Boltzmann homogeneous equations. I. Non-cutoff case and Maxwellian molecules. Math. Models Methods Appl. Sci. 15 6 (2005) 907-920
    • (2005) Math. Models Methods Appl. Sci. , vol.15 , Issue.6 , pp. 907-920
    • Alexandre, R.1    El Safadi, M.2
  • 2
    • 0001686361 scopus 로고
    • Smoothing effect for the non-linear Vlasov-Poisson-Fokker-Planck system
    • Bouchut F. Smoothing effect for the non-linear Vlasov-Poisson-Fokker-Planck system. J. Differential Equations 122 (1995) 225-238
    • (1995) J. Differential Equations , vol.122 , pp. 225-238
    • Bouchut, F.1
  • 3
    • 84975095863 scopus 로고    scopus 로고
    • Hypoelliptic regularity in kinetic equations
    • Bouchut F. Hypoelliptic regularity in kinetic equations. J. Math. Pures Appl. (9) 81 11 (2002) 1135-1159
    • (2002) J. Math. Pures Appl. (9) , vol.81 , Issue.11 , pp. 1135-1159
    • Bouchut, F.1
  • 4
    • 0003840403 scopus 로고    scopus 로고
    • On the singularities of the global small solutions of the full Boltzmann equation
    • Boudin L., and Desvillettes L. On the singularities of the global small solutions of the full Boltzmann equation. Monats. Math. 131 (2000) 91-108
    • (2000) Monats. Math. , vol.131 , pp. 91-108
    • Boudin, L.1    Desvillettes, L.2
  • 5
    • 67349220644 scopus 로고    scopus 로고
    • Y. Chen, L. Desvillettes, L. He, Smoothing effects for classical solutions of the full Landau equation, Arch. Ration. Mech. Anal. (2008), in press
    • Y. Chen, L. Desvillettes, L. He, Smoothing effects for classical solutions of the full Landau equation, Arch. Ration. Mech. Anal. (2008), in press
  • 6
    • 0000278898 scopus 로고    scopus 로고
    • On the spatially homogeneous Landau equation for hard potentials. Part 1: Existence, uniqueness and smoothness
    • Desvillettes L., and Villani C. On the spatially homogeneous Landau equation for hard potentials. Part 1: Existence, uniqueness and smoothness. Comm. Partial Differential Equations 25 (2000) 179-259
    • (2000) Comm. Partial Differential Equations , vol.25 , pp. 179-259
    • Desvillettes, L.1    Villani, C.2
  • 7
    • 1642284756 scopus 로고    scopus 로고
    • Smoothness of the solution of the spatially homogeneous Boltzmann equation without cutoff
    • Desvillettes L., and Wennberg B. Smoothness of the solution of the spatially homogeneous Boltzmann equation without cutoff. Comm. Partial Differential Equations 29 1-2 (2004) 133-155
    • (2004) Comm. Partial Differential Equations , vol.29 , Issue.1-2 , pp. 133-155
    • Desvillettes, L.1    Wennberg, B.2
  • 8
    • 0035526707 scopus 로고    scopus 로고
    • On the trend to global equilibrium in spatially inhomogeneous entropy-dissipating systems. Part I: The linear Fokker-Planck equation
    • Desvillettes L., and Villani C. On the trend to global equilibrium in spatially inhomogeneous entropy-dissipating systems. Part I: The linear Fokker-Planck equation. Comm. Pure Appl. Math. 54 1 (2001) 1-42
    • (2001) Comm. Pure Appl. Math. , vol.54 , Issue.1 , pp. 1-42
    • Desvillettes, L.1    Villani, C.2
  • 9
    • 0002833142 scopus 로고
    • On the Fokker-Planck-Boltzmann equation
    • DiPerna R., and Lions P.L. On the Fokker-Planck-Boltzmann equation. Comm. Math. Phys. 120 1 (1988) 1-23
    • (1988) Comm. Math. Phys. , vol.120 , Issue.1 , pp. 1-23
    • DiPerna, R.1    Lions, P.L.2
  • 10
    • 42449086758 scopus 로고    scopus 로고
    • H. Li, A. Matsumura, Behavior of the Fokker-Planck-Boltzmann equation near a Maxwellian, Arch. Ration. Mech. Anal. (2008), in press
    • H. Li, A. Matsumura, Behavior of the Fokker-Planck-Boltzmann equation near a Maxwellian, Arch. Ration. Mech. Anal. (2008), in press
  • 11
    • 42649089855 scopus 로고    scopus 로고
    • Y. Morimoto, C.J. Xu, Hypoellipticity for a class of kinetic equations, preprint, 2006
    • Y. Morimoto, C.J. Xu, Hypoellipticity for a class of kinetic equations, preprint, 2006
  • 12
    • 4344621115 scopus 로고    scopus 로고
    • Regularity theory for the spatially homogeneous Boltzmann equation with cut-off
    • Mouhot C., and Villani C. Regularity theory for the spatially homogeneous Boltzmann equation with cut-off. Arch. Ration. Mech. Anal. 173 2 (2004) 169-212
    • (2004) Arch. Ration. Mech. Anal. , vol.173 , Issue.2 , pp. 169-212
    • Mouhot, C.1    Villani, C.2
  • 13
    • 67649344144 scopus 로고    scopus 로고
    • A review of mathematical topics in collision kinetic theory
    • North-Holland, Amsterdam
    • Villani C. A review of mathematical topics in collision kinetic theory. Handbook of Mathematical Fluid Dynamics, vol. I (2002), North-Holland, Amsterdam
    • (2002) Handbook of Mathematical Fluid Dynamics, vol. I
    • Villani, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.