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Volumn 10, Issue 3, 2008, Pages 757-769

On the global regularity of subcritical Euler-Poisson equations with pressure

Author keywords

Critical thresholds; Euler Poisson equations; Global regularity; Riemann invariants

Indexed keywords


EID: 48549088161     PISSN: 14359855     EISSN: None     Source Type: Journal    
DOI: 10.4171/JEMS/129     Document Type: Article
Times cited : (63)

References (16)
  • 1
    • 0040585180 scopus 로고    scopus 로고
    • On spherically symmetric gravitational collapse
    • Zbl 0933.35160 MR 1666522
    • Brenner, M. P., Witelski, T. P.: On spherically symmetric gravitational collapse. J. Statist. Phys. 93, 863-900 (1998) Zbl 0933.35160 MR 1666522
    • (1998) J. Statist. Phys , vol.93 , pp. 863-900
    • Brenner, M.P.1    Witelski, T.P.2
  • 2
    • 0030210099 scopus 로고    scopus 로고
    • Convergence of shock capturing scheme for the compressible Euler-Poisson equation
    • Zbl 0858.76051 MR 1400743
    • Chen, G.-Q., Wang, D.: Convergence of shock capturing scheme for the compressible Euler-Poisson equation. Comm. Math. Phys. 179, 333-364 (1996) Zbl 0858.76051 MR 1400743
    • (1996) Comm. Math. Phys , vol.179 , pp. 333-364
    • Chen, G.-Q.1    Wang, D.2
  • 3
    • 0038250953 scopus 로고    scopus 로고
    • Formation of singularities in the Euler and Euler-Poisson equations
    • Zbl 0885.35086 MR 1416291
    • Engelberg, S.: Formation of singularities in the Euler and Euler-Poisson equations. Phys. D 98, 67-74 (1996) Zbl 0885.35086 MR 1416291
    • (1996) Phys. D , vol.98 , pp. 67-74
    • Engelberg, S.1
  • 4
    • 0013184506 scopus 로고    scopus 로고
    • Critical thresholds in Euler-Poisson equations
    • Zbl 0989.35110 MR 1855666
    • Engelberg, S., Liu, H., Tadmor, E.: Critical thresholds in Euler-Poisson equations. Indiana Univ. Math. J. 50, 109-157 (2001) Zbl 0989.35110 MR 1855666
    • (2001) Indiana Univ. Math. J , vol.50 , pp. 109-157
    • Engelberg, S.1    Liu, H.2    Tadmor, E.3
  • 5
    • 0040081474 scopus 로고    scopus 로고
    • 3+1
    • Zbl 0929.35112 MR 1637856
    • 3+1. Comm. Math. Phys. 195, 249-265 (1998) Zbl 0929.35112 MR 1637856
    • (1998) Comm. Math. Phys , vol.195 , pp. 249-265
    • Guo, Y.1
  • 6
    • 0034274265 scopus 로고    scopus 로고
    • Relaxation of the isothermal Euler-Poisson system to the drift-diffusion equations
    • Zbl 02051300 MR 1770652
    • Junca, S., Rascle, M.: Relaxation of the isothermal Euler-Poisson system to the drift-diffusion equations. Quart. Appl. Math. 58, 511-521 (2000) Zbl 02051300 MR 1770652
    • (2000) Quart. Appl. Math , vol.58 , pp. 511-521
    • Junca, S.1    Rascle, M.2
  • 7
    • 33750483511 scopus 로고
    • Development of singularities of solutions of nonlinear hyperbolic partial differential equations
    • Zbl 0135.15101 MR 0165243
    • Lax, P. D.: Development of singularities of solutions of nonlinear hyperbolic partial differential equations. J. Math. Phys. 5, 611-613 (1964) Zbl 0135.15101 MR 0165243
    • (1964) J. Math. Phys , vol.5 , pp. 611-613
    • Lax, P.D.1
  • 8
    • 0036022795 scopus 로고    scopus 로고
    • Spectral dynamics of the velocity gradient field in restricted flow
    • Zbl 1031.76006 MR 1918784
    • Liu, H., Tadmor, E., Spectral dynamics of the velocity gradient field in restricted flow. Comm. Math. Phys. 228, 435-466 (2002) Zbl 1031.76006 MR 1918784
    • (2002) Comm. Math. Phys , vol.228 , pp. 435-466
    • Liu, H.1    Tadmor, E.2
  • 9
    • 1642544667 scopus 로고    scopus 로고
    • Critical thresholds in 2D restricted Euler-Poisson equations
    • Zbl 1073.35187 MR 2030849
    • Liu, H., Tadmor, E.: Critical thresholds in 2D restricted Euler-Poisson equations. SIAM J. Appl. Math. 63, 1889-1910 (2003) Zbl 1073.35187 MR 2030849
    • (2003) SIAM J. Appl. Math , vol.63 , pp. 1889-1910
    • Liu, H.1    Tadmor, E.2
  • 10
    • 77957028939 scopus 로고    scopus 로고
    • Makino, T.: On a local existence theorem for the evolution of gaseous stars. In: Patterns and Waves, T. Nishida et al. (eds.), North-Holland/ Kinokuniya, 459-479 (1986) Zbl 0623.35058 MR 0882389
    • Makino, T.: On a local existence theorem for the evolution of gaseous stars. In: Patterns and Waves, T. Nishida et al. (eds.), North-Holland/ Kinokuniya, 459-479 (1986) Zbl 0623.35058 MR 0882389
  • 11
    • 0001257150 scopus 로고
    • Sur les solutions à symétrie sphérique de l'équation d'Euler-Poisson pour l'évolution d'étoiles gazeuses.
    • Zbl 0743.35048 MR 1039243
    • Makino, T., 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, 165-170 (1990) Zbl 0743.35048 MR 1039243
    • (1990) Japan J. Appl. Math , vol.7 , pp. 165-170
    • Makino, T.1    Perthame, B.2
  • 12
    • 21844490167 scopus 로고
    • Weak solutions to a hydrodynamic model for semiconductors and relaxation to the drift-diffusion equation
    • Zbl 0829.35128 MR 1328473
    • Marcati, P., Natalini, R.: Weak solutions to a hydrodynamic model for semiconductors and relaxation to the drift-diffusion equation. Arch. Ration. Mech. Anal. 129, 129-145 (1995) Zbl 0829.35128 MR 1328473
    • (1995) Arch. Ration. Mech. Anal , vol.129 , pp. 129-145
    • Marcati, P.1    Natalini, R.2
  • 13
    • 0007286985 scopus 로고
    • Nonexistence of global solutions to the Euler-Poisson equations for repulsive forces
    • Zbl 0717.35049 MR 1057537
    • Perthame, B.: Nonexistence of global solutions to the Euler-Poisson equations for repulsive forces. Japan J. Appl. Math. 7, 363-367 (1990) Zbl 0717.35049 MR 1057537
    • (1990) Japan J. Appl. Math , vol.7 , pp. 363-367
    • Perthame, B.1
  • 14
    • 58149362452 scopus 로고
    • Global solutions to the isothermal Euler-Poisson system with arbitrarily large data
    • Zbl 0845.35123 MR 1359913
    • Poupaud, F., Rascle, M., Vila, J.-P.: Global solutions to the isothermal Euler-Poisson system with arbitrarily large data. J. Differential Equations 123, 93-121 (1995) Zbl 0845.35123 MR 1359913
    • (1995) J. Differential Equations , vol.123 , pp. 93-121
    • Poupaud, F.1    Rascle, M.2    Vila, J.-P.3
  • 15
    • 0001628249 scopus 로고
    • Formation of singularities in three-dimensional compressible fluids
    • Zbl 0606.76088 MR 0815196
    • Sideris, T. C.: Formation of singularities in three-dimensional compressible fluids. Comm. Math. Phys. 101, 475-485 (1985) Zbl 0606.76088 MR 0815196
    • (1985) Comm. Math. Phys , vol.101 , pp. 475-485
    • Sideris, T.C.1
  • 16
    • 0002499554 scopus 로고    scopus 로고
    • Formation of singularities in compressible Euler-Poisson fluids with heat diffusion and damping relaxation
    • Zbl 0914.35102 MR 1615127
    • Wang, D., Chen, G.-Q.: Formation of singularities in compressible Euler-Poisson fluids with heat diffusion and damping relaxation. J. Differential Equations 144, 44-65 (1998) Zbl 0914.35102 MR 1615127
    • (1998) J. Differential Equations , vol.144 , pp. 44-65
    • Wang, D.1    Chen, G.-Q.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.