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Volumn 195, Issue 2, 1998, Pages 249-265

Smooth irrotational flows in the large to the Euler-Poisson system in R3+1

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EID: 0040081474     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050388     Document Type: Article
Times cited : (181)

References (19)
  • 1
    • 0000790373 scopus 로고
    • Travelling wave analysis and jump relations for Euler-Poisson model in the quasineutral limit
    • Cordier, S., Degond, P., Markowich, P., Schmeiser, C.: Travelling wave analysis and jump relations for Euler-Poisson model in the quasineutral limit. Asymptotic Analysis 11, 209-240 (1995)
    • (1995) Asymptotic Analysis , vol.11 , pp. 209-240
    • Cordier, S.1    Degond, P.2    Markowich, P.3    Schmeiser, C.4
  • 2
    • 0030524675 scopus 로고    scopus 로고
    • Global solutions to the compressible Euler equations with geometrical structure
    • Chen, GQ., Glimm, J.,: Global solutions to the compressible Euler equations with geometrical structure. Commun. Math. Phys. 180, 153-193 (1996)
    • (1996) Commun. Math. Phys. , vol.180 , pp. 153-193
    • Chen, G.Q.1    Glimm, J.2
  • 5
    • 80053227201 scopus 로고
    • Stationary transonic solutions of a one-dimensional hydrodynamic model for semi-conductors
    • Gamba, I.M.: Stationary transonic solutions of a one-dimensional hydrodynamic model for semi-conductors. Commun. in PDE, 17, (384), 553-577 (1992)
    • (1992) Commun. in PDE , vol.17 , Issue.384 , pp. 553-577
    • Gamba, I.M.1
  • 6
    • 84990619688 scopus 로고
    • Global existence of small amplitude solutions to nonlinear Klein-Gordon equations in four space-time dimensions
    • Klainerman, S.: Global existence of small amplitude solutions to nonlinear Klein-Gordon equations in four space-time dimensions. Comm. Pure. Appl. Math. 38, 631-641 (1985)
    • (1985) Comm. Pure. Appl. Math. , vol.38 , pp. 631-641
    • Klainerman, S.1
  • 7
    • 0016594542 scopus 로고
    • The Cauchy problem for quasilinear symmetric systems
    • Kato, T.: The Cauchy problem for quasilinear symmetric systems, Arch. Ration. Mech. Anal. 58, 181-205 (1975)
    • (1975) Arch. Ration. Mech. Anal. , vol.58 , pp. 181-205
    • Kato, T.1
  • 8
    • 0002229771 scopus 로고
    • The global weak solutions of compressible Euler equations with spherical symmetry
    • Makino, T., Mizohata, K., Ukai, S.: The global weak solutions of compressible Euler equations with spherical symmetry. Japan J. Industrial Appl. Math. 9, 431-449 (1992)
    • (1992) Japan J. Industrial Appl. Math. , vol.9 , pp. 431-449
    • Makino, T.1    Mizohata, K.2    Ukai, S.3
  • 10
    • 84968518921 scopus 로고
    • On some solutions to the Klein-Gordon equations related to an integral of Sonine
    • Nelson, S.: On some solutions to the Klein-Gordon equations related to an integral of Sonine. Trans. A. M. S. 154, 227-237 (1971)
    • (1971) Trans. A. M. S. , vol.154 , pp. 227-237
    • Nelson, S.1
  • 11
    • 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 no. 2, 363-367 (1990)
    • (1990) Japan J. Appl. Math. , vol.7 , Issue.2 , pp. 363-367
    • Perthame, B.1
  • 12
    • 58149362452 scopus 로고
    • Global solutions to the isothermal Euler-Poisson system with arbitrarily large data
    • Poupaud, F., Rasche, M., Vila, J.P.: Global solutions to the isothermal Euler-Poisson system with arbitrarily large data. J. Diff. Equ. 123, 93-121 (1995)
    • (1995) J. Diff. Equ. , vol.123 , pp. 93-121
    • Poupaud, F.1    Rasche, M.2    Vila, J.P.3
  • 13
    • 84990623722 scopus 로고
    • Normal forms and quadratic nonlinear Klein-Gordon equations
    • Shatah, J.: Normal forms and quadratic nonlinear Klein-Gordon equations. Comm. Pure. Appl. Math. 38, 685-696 (1985)
    • (1985) Comm. Pure. Appl. Math. , vol.38 , pp. 685-696
    • Shatah, J.1
  • 14
    • 0001628249 scopus 로고
    • Formation of singularities in three-dimensional compressible fluids
    • Sideris, T.: Formation of singularities in three-dimensional compressible fluids. Commun. Math. Phys. 101, 475-485 (1985)
    • (1985) Commun. Math. Phys. , vol.101 , pp. 475-485
    • Sideris, T.1
  • 15
    • 0038139247 scopus 로고
    • The lifespan of smooth solutions to the three-dimensional compressible Euler equations and the incompressible limit
    • Sideris, T.: The lifespan of smooth solutions to the three-dimensional compressible Euler equations and the incompressible limit. Indiana Univ. Math. J., 40 No. 2, 536-550 (1991)
    • (1991) Indiana Univ. Math. J. , vol.40 , Issue.2 , pp. 536-550
    • Sideris, T.1
  • 19
    • 21344492574 scopus 로고
    • Convergence of the Godunov scheme for a simplified one-dimensional hydrodynamic model for semiconductor devices
    • Zhang, B.: Convergence of the Godunov scheme for a simplified one-dimensional hydrodynamic model for semiconductor devices. Commun. Math. Phys. 157, 1-22 (1993)
    • (1993) Commun. Math. Phys. , vol.157 , pp. 1-22
    • Zhang, B.1


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