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Volumn 9, Issue 5-6, 2004, Pages 563-586

On an evolution system describing self-gravitating Fermi-Dirac particles

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EID: 18744386614     PISSN: 10799389     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (16)

References (25)
  • 1
    • 0001835099 scopus 로고
    • Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems
    • H. Triebel, H.J. Schmeisser, eds., Teubner-Texte Math., Teubner, Stuttgart
    • H. Amann,. Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems, 9-126 in "Function Spaces, Differential Operators and Nonlinear Analysis," H. Triebel, H.J. Schmeisser, eds., Teubner-Texte Math., 133, Teubner, Stuttgart, 1993.
    • (1993) Function Spaces, Differential Operators and Nonlinear Analysis , vol.133
    • Amann, H.1
  • 2
    • 0001244791 scopus 로고
    • On a free boundary problem arising in plasma physics
    • H. Berestycki and H. Brezis,. On a free boundary problem arising in plasma physics, Nonlinear Anal., 4 (1980), 415-436.
    • (1980) Nonlinear Anal. , vol.4 , pp. 415-436
    • Berestycki, H.1    Brezis, H.2
  • 3
    • 18744395437 scopus 로고    scopus 로고
    • Steady states for Streater's energy-transport models of self-gravitating particles
    • eds., IMA Volumes in Mathematics, and Its Applications, Springer, New York
    • 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, 37-56 in "Transport in Transition Regimes," N. Ben Abdallah et al., eds., IMA Volumes in Mathematics, and Its Applications, 135, Springer, New York, 2003.
    • (2003) in "Transport in Transition Regimes," N. Ben Abdallah et al. , vol.135 , pp. 37-56
    • Biler, P.1    Dolbeault, J.2    Esteban, M.J.3    Markowich, P.A.4    Nadzieja, T.5
  • 4
    • 0000219814 scopus 로고
    • The Debye system: existence, and long time behaviour of solutions
    • P. Biler, W. Hebisch and T. Nadzieja,. The Debye system: existence, and long time behaviour of solutions, Nonlinear Anal., 23 (1994), 1189-1209.
    • (1994) Nonlinear Anal. , vol.23 , pp. 1189-1209
    • Biler, P.1    Hebisch, W.2    Nadzieja, T.3
  • 5
    • 0000975661 scopus 로고
    • Existence, and nonexistence of solutions for a model of gravitational interaction of particles
    • P. Biler, D. Hilhorst and T. Nadzieja,. Existence, and nonexistence of solutions for a model of gravitational interaction of particles, II, Colloq. Math., 67 (1994), 297- 308.
    • (1994) II, Colloq. Math. , vol.67
    • Biler, P.1    Hilhorst, D.2    Nadzieja, T.3
  • 6
    • 0032324536 scopus 로고    scopus 로고
    • Self-interaction of Brownian particles coupled with thermodynamic processes
    • P. Biler, A. Krzywicki, and T. Nadzieja,. Self-interaction of Brownian particles coupled with thermodynamic processes, Rep. Math. Phys., 42 (1998), 359-372.
    • (1998) Rep. Math. Phys. , vol.42 , pp. 359-372
    • Biler, P.1    Krzywicki, A.2    Nadzieja, T.3
  • 7
    • 0000531920 scopus 로고
    • Existence, and nonexistence of solutions for a model of gravitational interaction of particles
    • P. Biler, and T. Nadzieja,. Existence, and nonexistence of solutions for a model of gravitational interaction of particles, I, Colloq. Math., 66 (1994), 319-334.
    • (1994) I, Colloq. Math. , vol.66 , pp. 319-334
    • Biler, P.1    Nadzieja, T.2
  • 8
    • 0242480563 scopus 로고    scopus 로고
    • Structure of steady states for Streater's energy-transport models of gravitating particles
    • P. Biler, and T. Nadzieja,. Structure of steady states for Streater's energy-transport models of gravitating particles, Topol. Methods Nonlinear Anal., 19 (2002), 283-301.
    • (2002) Topol. Methods Nonlinear Anal. , vol.19 , pp. 283-301
    • Biler, P.1    Nadzieja, T.2
  • 9
    • 0242425209 scopus 로고    scopus 로고
    • Global, and exploding solutions in a model of self-gravitating systems
    • P. Biler, and T. Nadzieja,. Global, and exploding solutions in a model of self-gravitating systems, Rep. Math. Phys., 52 (2003), 205-225.
    • (2003) Rep. Math. Phys. , vol.52 , pp. 205-225
    • Biler, P.1    Nadzieja, T.2
  • 10
    • 37649027643 scopus 로고    scopus 로고
    • Phase transitions in self-gravitating systems: self-gravitating fermions, and hard sphere models
    • P.-H. Chavanis,. Phase transitions in self-gravitating systems: self-gravitating fermions, and hard sphere models, Phys. Rev. E, 65 (2002), 056123.
    • (2002) Phys. Rev. E , vol.65 , pp. 056123
    • Chavanis, P.-H.1
  • 12
    • 41349122830 scopus 로고    scopus 로고
    • Thermodynamics of self-gravitating systems
    • P.-H. Chavanis, C. Rosier, and C. Sire,. Thermodynamics of self-gravitating systems, Phys. Rev. E, 66 (2002), 036105.
    • (2002) Phys. Rev. E , vol.66 , pp. 036105
    • Chavanis, P.-H.1    Rosier, C.2    Sire, C.3
  • 13
    • 0039838289 scopus 로고    scopus 로고
    • Degenerate equilibrium states of collisionless stellar systems
    • P.-H. Chavanis, and J. Sommeria,. Degenerate equilibrium states of collisionless stellar systems, Mon. Not. R. Astron. Soc., 296 (1998), 569-578.
    • (1998) Mon. Not. R. Astron. Soc. , vol.296 , pp. 569-578
    • Chavanis, P.-H.1    Sommeria, J.2
  • 14
    • 21444442314 scopus 로고    scopus 로고
    • Statistical mechanics of two-dimensional vortices, and collisionless stellar systems
    • P.-H. Chavanis, J. Sommeria, and R. Robert,. Statistical mechanics of two-dimensional vortices, and collisionless stellar systems, Astrophys. J., 471 (1996), 385-399.
    • (1996) Astrophys. J. , vol.471 , pp. 385-399
    • Chavanis, P.-H.1    Sommeria, J.2    Robert, R.3
  • 15
    • 3342973415 scopus 로고    scopus 로고
    • Anomalous diffusion, and collapse of self-gravitating Langevin particles in D dimensions
    • to appear
    • P.-H. Chavanis, and C. Sire,. Anomalous diffusion, and collapse of self-gravitating Langevin particles in D dimensions, Phys. Rev. E 69 (2004), to appear.
    • (2004) Phys. Rev. E , vol.69
    • Chavanis, P.-H.1    Sire, C.2
  • 17
    • 0003223550 scopus 로고
    • Linear, and Quasilinear Equations of Parabolic Type
    • Amer. Math. Soc., Providence, RI
    • O.A. Ladyženskaja, V.A. Solonnikov, and N.N. Ural'ceva,. "Linear, and Quasilinear Equations of Parabolic Type," Transl. Math. Monogr., 23, Amer. Math. Soc., Providence, RI, 1968.
    • (1968) Transl. Math. Monogr. , vol.23
    • Ladyženskaja, O.A.1    Solonnikov, V.A.2    Ural'ceva, N.N.3
  • 18
    • 38249034577 scopus 로고
    • Équations d'évolution linéaires associées à des semi-groupes de contraction dans les espaces Lp
    • D. Lamberton,. Équations d'évolution linéaires associées à des semi-groupes de contraction dans les espaces Lp, J. Funct. Anal., 72 (1987), 252-262.
    • (1987) J. Funct. Anal. , vol.72 , pp. 252-262
    • Lamberton, D.1
  • 19
    • 0032336331 scopus 로고    scopus 로고
    • On the gravitational collapse of stellar systems
    • R. Robert,. On the gravitational collapse of stellar systems, Classical Quantum Gravity, 15 (1998), 3827-3840.
    • (1998) Classical Quantum Gravity , vol.15 , pp. 3827-3840
    • Robert, R.1
  • 20
    • 34250112428 scopus 로고
    • Compact sets in the space Lp(0T;B)
    • J. Simon,. Compact sets in the space Lp(0, T;B), Ann. Mat. Pura Appl., 146 (1987), 65-96.
    • (1987) Ann. Mat. Pura Appl. , vol.146 , pp. 65-96
    • Simon, J.1
  • 21
    • 41349119543 scopus 로고    scopus 로고
    • Thermodynamics, and collapse of self-gravitating Brownian particles in D dimensions
    • C. Sire, and P.-H. Chavanis,. Thermodynamics, and collapse of self-gravitating Brownian particles in D dimensions, Phys. Rev. E, 66 (2002), 046133.
    • (2002) Phys. Rev. E , vol.66 , pp. 046133
    • Sire, C.1    Chavanis, P.-H.2
  • 23
    • 0344711709 scopus 로고    scopus 로고
    • A model of dense fluids
    • Banach Center Publications, Polish Acad. Sci, Warsaw
    • R.F. Streater,. A model of dense fluids, in "Quantum Probability" (Gdańsk, 1997), 381-393, Banach Center Publications, 43, Polish Acad. Sci, Warsaw, 1998.
    • (1998) in "Quantum Probability" (Gdańsk, 1997) , vol.43 , pp. 381-393
    • Streater, R.F.1
  • 24
    • 33746467015 scopus 로고    scopus 로고
    • The Soret, and Dufour effects in statistical dynamics
    • R.F. Streater,. The Soret, and Dufour effects in statistical dynamics, Proc. R. Soc. London A, 456 (2000), 205-211.
    • (2000) Proc. R. Soc. London A , vol.456 , pp. 205-211
    • Streater, R.F.1
  • 25
    • 0010949082 scopus 로고    scopus 로고
    • Critical behaviour of semi-linear elliptic equations with sub-critical exponents
    • G. Wolansky,. Critical behaviour of semi-linear elliptic equations with sub-critical exponents, Nonlinear Anal., 26 (1996), 971-995.
    • (1996) Nonlinear Anal. , vol.26 , pp. 971-995
    • Wolansky, G.1


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