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Volumn 238, Issue 20, 2009, Pages 2062-2066

An improved local blow-up condition for Euler-Poisson equations with attractive forcing

Author keywords

Critical thresholds; Euler Poisson equations; Finite time blow up

Indexed keywords

PHYSICS;

EID: 69849100482     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2009.08.008     Document Type: Article
Times cited : (25)

References (29)
  • 1
    • 77957028939 scopus 로고
    • On a local existence theorem for the evolution equation of gaseous stars
    • Patterns and Waves, North-Holland, Amsterdam
    • Makino T. On a local existence theorem for the evolution equation of gaseous stars. Patterns and Waves. Stud. Math. Appl. vol. 18 (1986), North-Holland, Amsterdam 459-479
    • (1986) Stud. Math. Appl. , vol.18 , pp. 459-479
    • Makino, T.1
  • 2
    • 21844500850 scopus 로고
    • The cosmic no-hair theorem and the non-linear stability of homogeneous Newtonian cosmological models
    • Brauer U., Rendall A., and Reula O. The cosmic no-hair theorem and the non-linear stability of homogeneous Newtonian cosmological models. Classical Quantum Gravity 11 9 (1994) 2283-2296
    • (1994) Classical Quantum Gravity , vol.11 , Issue.9 , pp. 2283-2296
    • Brauer, U.1    Rendall, A.2    Reula, O.3
  • 3
    • 0040585180 scopus 로고    scopus 로고
    • On spherically symmetric gravitational collapse
    • Brenner M.P., and Witelski T.P. On spherically symmetric gravitational collapse. J. Statist. Phys. 93 3-4 (1998) 863-899
    • (1998) J. Statist. Phys. , vol.93 , Issue.3-4 , pp. 863-899
    • Brenner, M.P.1    Witelski, T.P.2
  • 4
    • 0036026061 scopus 로고    scopus 로고
    • Solutions of Euler-Poisson equations for gaseous stars
    • Deng Y., Liu T.-P., Yang T., and Yao Z.-a. Solutions of Euler-Poisson equations for gaseous stars. Arch. Ration. Mech. Anal. 164 3 (2002) 261-285
    • (2002) Arch. Ration. Mech. Anal. , vol.164 , Issue.3 , pp. 261-285
    • Deng, Y.1    Liu, T.-P.2    Yang, T.3    Yao, Z.-a.4
  • 5
    • 0003542917 scopus 로고    scopus 로고
    • Accretion processes in star formation
    • Cambridge University Press
    • Hartmann L. Accretion processes in star formation. Cambridge Astrophysics Series vol. 32 (2009), Cambridge University Press
    • (2009) Cambridge Astrophysics Series , vol.32
    • Hartmann, L.1
  • 6
    • 27744590550 scopus 로고    scopus 로고
    • Quasi-neutral limit of the Euler-Poisson and Euler-Monge-Ampère systems
    • Loeper G. Quasi-neutral limit of the Euler-Poisson and Euler-Monge-Ampère systems. Comm. Partial Differential Equations 30 7-9 (2005) 1141-1167
    • (2005) Comm. Partial Differential Equations , vol.30 , Issue.7-9 , pp. 1141-1167
    • Loeper, G.1
  • 7
    • 0013184506 scopus 로고    scopus 로고
    • Critical thresholds in Euler-Poisson equations
    • Dedicated to Professors Ciprian Foias and Roger Temam (Bloomington, IN, 2000)
    • Engelberg S., Liu H., and Tadmor E. Critical thresholds in Euler-Poisson equations. Indiana Univ. Math. J. 50 Special Issue (2001) 109-157 Dedicated to Professors Ciprian Foias and Roger Temam (Bloomington, IN, 2000)
    • (2001) Indiana Univ. Math. J. , vol.50 , Issue.SPEC. ISSUE , pp. 109-157
    • Engelberg, S.1    Liu, H.2    Tadmor, E.3
  • 8
    • 0036022795 scopus 로고    scopus 로고
    • Spectral dynamics of the velocity gradient field in restricted flows
    • Liu H., and Tadmor E. Spectral dynamics of the velocity gradient field in restricted flows. Comm. Math. Phys. 228 3 (2002) 435-466
    • (2002) Comm. Math. Phys. , vol.228 , Issue.3 , pp. 435-466
    • Liu, H.1    Tadmor, E.2
  • 9
    • 1642544667 scopus 로고    scopus 로고
    • Critical thresholds in 2D restricted Euler-Poisson equations
    • (electronic)
    • Liu H., and Tadmor E. Critical thresholds in 2D restricted Euler-Poisson equations. SIAM J. Appl. Math. 63 6 (2003) 1889-1910 (electronic)
    • (2003) SIAM J. Appl. Math. , vol.63 , Issue.6 , pp. 1889-1910
    • Liu, H.1    Tadmor, E.2
  • 11
    • 34250636358 scopus 로고    scopus 로고
    • Critical thresholds and conditional stability for Euler equations and related models
    • Springer, Berlin
    • Liu H., and Tadmor E. Critical thresholds and conditional stability for Euler equations and related models. Hyperbolic Problems: Theory, Numerics, Applications (2003), Springer, Berlin 227-240
    • (2003) Hyperbolic Problems: Theory, Numerics, Applications , pp. 227-240
    • Liu, H.1    Tadmor, E.2
  • 12
    • 48549088161 scopus 로고    scopus 로고
    • On the global regularity of subcritical Euler-Poisson equations with pressure
    • Tadmor E., and Wei D. On the global regularity of subcritical Euler-Poisson equations with pressure. J. Eur. Math. Soc. (JEMS) 10 3 (2008) 757-769
    • (2008) J. Eur. Math. Soc. (JEMS) , vol.10 , Issue.3 , pp. 757-769
    • Tadmor, E.1    Wei, D.2
  • 13
    • 0040081474 scopus 로고    scopus 로고
    • 3 + 1
    • 3 + 1. Comm. Math. Phys. 195 2 (1998) 249-265
    • (1998) Comm. Math. Phys. , vol.195 , Issue.2 , pp. 249-265
    • Guo, Y.1
  • 14
    • 0034365798 scopus 로고    scopus 로고
    • Quasineutral limit of an Euler-Poisson system arising from plasma physics
    • Cordier S., and Grenier E. Quasineutral limit of an Euler-Poisson system arising from plasma physics. Comm. Partial Differential Equations 25 5-6 (2000) 1099-1113
    • (2000) Comm. Partial Differential Equations , vol.25 , Issue.5-6 , pp. 1099-1113
    • Cordier, S.1    Grenier, E.2
  • 15
    • 0007286985 scopus 로고
    • Nonexistence of global solutions to Euler-Poisson equations for repulsive forces
    • Perthame B. Nonexistence of global solutions to Euler-Poisson equations for repulsive forces. Japan J. Appl. Math. 7 2 (1990) 363-367
    • (1990) Japan J. Appl. Math. , vol.7 , Issue.2 , pp. 363-367
    • Perthame, B.1
  • 17
    • 0001257150 scopus 로고
    • Sur les solutions à symétrie sphérique de l'équation d'Euler-Poisson pour l'évolution d'étoiles gazeuses
    • Makino T., and Perthame B. Sur les solutions à symétrie sphérique de l'équation d'Euler-Poisson pour l'évolution d'étoiles gazeuses. Japan J. Appl. Math. 7 1 (1990) 165-170
    • (1990) Japan J. Appl. Math. , vol.7 , Issue.1 , pp. 165-170
    • Makino, T.1    Perthame, B.2
  • 18
    • 0010298697 scopus 로고
    • Global existence and asymptotic stability to the full 1D hydrodynamic model for semiconductor devices
    • Zhang B. Global existence and asymptotic stability to the full 1D hydrodynamic model for semiconductor devices. Indiana Univ. Math. J. 44 3 (1995) 971-1005
    • (1995) Indiana Univ. Math. J. , vol.44 , Issue.3 , pp. 971-1005
    • Zhang, B.1
  • 19
    • 21844490167 scopus 로고
    • Weak solutions to a hydrodynamic model for semiconductors and relaxation to the drift-diffusion equation
    • Marcati P., and Natalini R. Weak solutions to a hydrodynamic model for semiconductors and relaxation to the drift-diffusion equation. Arch. Rational Mech. Anal. 129 2 (1995) 129-145
    • (1995) Arch. Rational Mech. Anal. , vol.129 , Issue.2 , pp. 129-145
    • Marcati, P.1    Natalini, R.2
  • 20
    • 58149362452 scopus 로고
    • Global solutions to the isothermal Euler-Poisson system with arbitrarily large data
    • Poupaud F., Rascle M., and Vila J.-P. Global solutions to the isothermal Euler-Poisson system with arbitrarily large data. J. Differential Equations 123 1 (1995) 93-121
    • (1995) J. Differential Equations , vol.123 , Issue.1 , pp. 93-121
    • Poupaud, F.1    Rascle, M.2    Vila, J.-P.3
  • 21
    • 80053227201 scopus 로고
    • Stationary transonic solutions of a one-dimensional hydrodynamic model for semiconductors
    • Gamba I.M. Stationary transonic solutions of a one-dimensional hydrodynamic model for semiconductors. Comm. Partial Differential Equations 17 3-4 (1992) 553-577
    • (1992) Comm. Partial Differential Equations , vol.17 , Issue.3-4 , pp. 553-577
    • Gamba, I.M.1
  • 22
    • 0002666718 scopus 로고
    • A steady state potential flow model for semiconductors
    • Degond P., and Markowich P.A. A steady state potential flow model for semiconductors. Ann. Mat. Pura Appl. 165 4 (1993) 87-98
    • (1993) Ann. Mat. Pura Appl. , vol.165 , Issue.4 , pp. 87-98
    • Degond, P.1    Markowich, P.A.2
  • 23
    • 54049150328 scopus 로고    scopus 로고
    • Nonlinear dynamical stability of newtonian rotating and non-rotating white dwarfs and rotating supermassive stars
    • Luo T., and Smoller J. Nonlinear dynamical stability of newtonian rotating and non-rotating white dwarfs and rotating supermassive stars. Comm. Math. Phys. (2008) 166-+
    • (2008) Comm. Math. Phys.
    • Luo, T.1    Smoller, J.2
  • 24
    • 6344265887 scopus 로고    scopus 로고
    • Rotating fluids with self-gravitation in bounded domains
    • Luo T., and Smoller J. Rotating fluids with self-gravitation in bounded domains. Arch. Ration. Mech. Anal. 173 3 (2004) 345-377
    • (2004) Arch. Ration. Mech. Anal. , vol.173 , Issue.3 , pp. 345-377
    • Luo, T.1    Smoller, J.2
  • 25
    • 0042766523 scopus 로고    scopus 로고
    • Non-linear stability of gaseous stars
    • Rein G. Non-linear stability of gaseous stars. Arch. Ration. Mech. Anal. 168 2 (2003) 115-130
    • (2003) Arch. Ration. Mech. Anal. , vol.168 , Issue.2 , pp. 115-130
    • Rein, G.1
  • 26
    • 0035537086 scopus 로고    scopus 로고
    • Global solutions and relaxation limits of Euler-Poisson equations
    • Wang D. Global solutions and relaxation limits of Euler-Poisson equations. Z. Angew. Math. Phys. 52 4 (2001) 620-630
    • (2001) Z. Angew. Math. Phys. , vol.52 , Issue.4 , pp. 620-630
    • Wang, D.1
  • 27
    • 0002499554 scopus 로고    scopus 로고
    • Formation of singularities in compressible Euler-Poisson fluids with heat diffusion and damping relaxation
    • Wang D., and Chen G.-Q. Formation of singularities in compressible Euler-Poisson fluids with heat diffusion and damping relaxation. J. Differential Equations 144 1 (1998) 44-65
    • (1998) J. Differential Equations , vol.144 , Issue.1 , pp. 44-65
    • Wang, D.1    Chen, G.-Q.2
  • 28
    • 0000067332 scopus 로고    scopus 로고
    • Large time behavior of the solutions to a hydrodynamic model for semiconductors
    • (electronic)
    • Luo T., Natalini R., and Xin Z. Large time behavior of the solutions to a hydrodynamic model for semiconductors. SIAM J. Appl. Math. 59 3 (1999) 810-830 (electronic)
    • (1999) SIAM J. Appl. Math. , vol.59 , Issue.3 , pp. 810-830
    • Luo, T.1    Natalini, R.2    Xin, Z.3
  • 29
    • 0347270355 scopus 로고    scopus 로고
    • Rotation prevents finite-time breakdown
    • Liu H., and Tadmor E. Rotation prevents finite-time breakdown. Phys. D 188 3-4 (2004) 262-276
    • (2004) Phys. D , vol.188 , Issue.3-4 , pp. 262-276
    • Liu, H.1    Tadmor, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.