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Volumn 303, Issue 1, 2011, Pages 89-125

Global Smooth Ion Dynamics in the Euler-Poisson System

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EID: 79952488804     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-011-1193-1     Document Type: Article
Times cited : (148)

References (29)
  • 2
    • 0001072134 scopus 로고
    • Commutateurs d'intégrales singulières et opérateurs multilinéaires
    • Coifman R., Meyer Y.: Commutateurs d'intégrales singulières et opérateurs multilinéaires. Ann. Inst. Fourier (Grenoble) 28(3, xi), 177-202 (1978).
    • (1978) Ann. Inst. Fourier (Grenoble) , vol.28 , Issue.3 XI , pp. 177-202
    • Coifman, R.1    Meyer, Y.2
  • 3
    • 0034365798 scopus 로고    scopus 로고
    • Quasineutral limit of an Euler-Poisson system arising from plasma physics
    • Cordier S., Grenier E.: Quasineutral limit of an Euler-Poisson system arising from plasma physics. Comm. Part. Diff. Eqs. 25(5-6), 1099-1113 (2000).
    • (2000) Comm. Part. Diff. Eqs. , vol.25 , Issue.5-6 , pp. 1099-1113
    • Cordier, S.1    Grenier, E.2
  • 4
    • 34748818041 scopus 로고    scopus 로고
    • Self-similar isothermal irrotational motion for the Euler, Euler- Poisson systems and the formation of the plasma sheath
    • Feldman M., Ha S.-Y., Slemrod M.: Self-similar isothermal irrotational motion for the Euler, Euler- Poisson systems and the formation of the plasma sheath. J. Hyp. Diff. Eq. 3(2), 233-246 (2006).
    • (2006) J. Hyp. Diff. Eq. , vol.3 , Issue.2 , pp. 233-246
    • Feldman, M.1    Ha, S.-Y.2    Slemrod, M.3
  • 5
    • 24944539889 scopus 로고    scopus 로고
    • A geometric level-set formulation of a plasma-sheath interface
    • Feldman M., Ha S.-Y., Slemrod M.: A geometric level-set formulation of a plasma-sheath interface. Arch. Ratn. Mech. Anal. 178(1), 81-123 (2005).
    • (2005) Arch. Ratn. Mech. Anal. , vol.178 , Issue.1 , pp. 81-123
    • Feldman, M.1    Ha, S.-Y.2    Slemrod, M.3
  • 6
    • 67650765274 scopus 로고    scopus 로고
    • Global solutions for 3D quadratic Schrödinger equations
    • Germain P., Masmoudi N., Shatah J.: Global solutions for 3D quadratic Schrödinger equations. Int. Math. Res. Not. 2009(3), 414-432 (2009).
    • (2009) Int. Math. Res. Not. , vol.2009 , Issue.3 , pp. 414-432
    • Germain, P.1    Masmoudi, N.2    Shatah, J.3
  • 11
    • 39249083438 scopus 로고    scopus 로고
    • Decay estimates for a class of wave equations
    • Guo Z., Peng L., Wang B.: Decay estimates for a class of wave equations. J. Funct. Anal. 254(6), 1642-1660 (2008).
    • (2008) J. Funct. Anal. , vol.254 , Issue.6 , pp. 1642-1660
    • Guo, Z.1    Peng, L.2    Wang, B.3
  • 12
    • 38849210067 scopus 로고    scopus 로고
    • Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions
    • Gustafson S., Nakanishi K., Tsai T. P.: Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions. Ann. IHP 8(7), 1303-1331 (2007).
    • (2007) Ann. IHP , vol.8 , Issue.7 , pp. 1303-1331
    • Gustafson, S.1    Nakanishi, K.2    Tsai, T.P.3
  • 13
    • 69849094134 scopus 로고    scopus 로고
    • Scattering theory for the Gross-Pitaevskii equation in three dimensions
    • Gustafson S., Nakanishi K., Tsai T. P.: Scattering theory for the Gross-Pitaevskii equation in three dimensions. Commun. Contemp. Math. 11(4), 657-707 (2009).
    • (2009) Commun. Contemp. Math. , vol.11 , Issue.4 , pp. 657-707
    • Gustafson, S.1    Nakanishi, K.2    Tsai, T.P.3
  • 14
    • 79952490104 scopus 로고
    • Plane Waves and Spherical Means, Applied to Partial Differential Equations
    • John F.: Plane Waves and Spherical Means, Applied to Partial Differential Equations. J. Appl. Math. Mech. 62(7), 285-356 (1982).
    • (1982) J. Appl. Math. Mech. , vol.62 , Issue.7 , pp. 285-356
    • John, F.1
  • 15
    • 0016594542 scopus 로고
    • The Cauchy problem for quasilinear symmetric systems
    • Kato T.: The Cauchy problem for quasilinear symmetric systems. Arch. Rat. Mech. Anal. 58, 181-205 (1975).
    • (1975) Arch. Rat. Mech. Anal. , vol.58 , pp. 181-205
    • Kato, T.1
  • 16
    • 1642544667 scopus 로고    scopus 로고
    • Critical thresholds in 2D restricted Euler-Poisson equations
    • (electronic)
    • Liu H., Tadmor E.: Critical thresholds in 2D restricted Euler-Poisson equations. SIAM J. Appl. Math. 63(6), 1889-1910 (2003) (electronic).
    • (2003) SIAM J. Appl. Math. , vol.63 , Issue.6 , pp. 1889-1910
    • Liu, H.1    Tadmor, E.2
  • 17
    • 0036022795 scopus 로고    scopus 로고
    • Spectral dynamics of the velocity gradient field in restricted flows
    • Liu H., Tadmor E.: Spectral dynamics of the velocity gradient field in restricted flows. Commun Math. Phys. 228(3), 435-466 (2002).
    • (2002) Commun Math. Phys. , vol.228 , Issue.3 , pp. 435-466
    • Liu, H.1    Tadmor, E.2
  • 18
    • 36248997661 scopus 로고    scopus 로고
    • Paraproducts with flag singularities. I. A case study
    • Muscalu C.: Paraproducts with flag singularities. I. A case study. Rev. Mat. Iberoam. 23(2), 705-742 (2007).
    • (2007) Rev. Mat. Iberoam. , vol.23 , Issue.2 , pp. 705-742
    • Muscalu, C.1
  • 20
    • 36448943978 scopus 로고    scopus 로고
    • Convergence of compressible Euler-Maxwell equations to compressible Euler- Poisson equations
    • Peng Y., Wang S.: Convergence of compressible Euler-Maxwell equations to compressible Euler- Poisson equations. Chin. Ann. Math. Ser. B 28(5), 583-602 (2007).
    • (2007) Chin. Ann. Math. Ser. B , vol.28 , Issue.5 , pp. 583-602
    • Peng, Y.1    Wang, S.2
  • 21
    • 2442681878 scopus 로고    scopus 로고
    • Boundary layers and quasi-neutral limit in steady state Euler-Poisson equations for potential flows
    • Peng Y., Wang Y.-G.: Boundary layers and quasi-neutral limit in steady state Euler-Poisson equations for potential flows. Nonlinearity 17(3), 835-849 (2004).
    • (2004) Nonlinearity , vol.17 , Issue.3 , pp. 835-849
    • Peng, Y.1    Wang, Y.-G.2
  • 22
    • 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(5), 685-696 (1985).
    • (1985) Comm. Pure Appl. Math. , vol.38 , Issue.5 , pp. 685-696
    • Shatah, J.1
  • 23
    • 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
  • 24
    • 0003552286 scopus 로고
    • Volume 43 of Princeton Mathematical Series. Princeton, NJ: Princeton University Press, With the assistance of Timothy S. Murphy, Monographs in Harmonic Analysis, III
    • Stein, E.: Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals. Volume 43 of Princeton Mathematical Series. Princeton, NJ: Princeton University Press 1993, With the assistance of Timothy S. Murphy, Monographs in Harmonic Analysis, III.
    • (1993) Harmonic analysis: Real-variable methods, orthogonality, and oscillatory integrals
    • Stein, E.1
  • 25
    • 34249655802 scopus 로고    scopus 로고
    • Nonlinear dispersive equations, local and global analysis
    • 106. Published for the Conference Board of the Mathematical Science, Washington, DC; Providence, RI: Amer. Math. Soc
    • Tao, T.: Nonlinear dispersive equations, local and global analysis. CBMS. Regional Conference Series in Mathematics, 106. Published for the Conference Board of the Mathematical Science, Washington, DC; Providence, RI: Amer. Math. Soc., 2006.
    • (2006) CBMS. Regional Conference Series in Mathematics
    • Tao, T.1
  • 26
    • 17744379598 scopus 로고    scopus 로고
    • WKB asymptotics for the Euler-Maxwell equations
    • Texier B.: WKB asymptotics for the Euler-Maxwell equations. Asymptot. Anal. 42(3-4), 211-250 (2005).
    • (2005) Asymptot. Anal. , vol.42 , Issue.3-4 , pp. 211-250
    • Texier, B.1
  • 27
    • 33847268828 scopus 로고    scopus 로고
    • Derivation of the Zakharov equations. Arch
    • Texier B.: Derivation of the Zakharov equations. Arch. Ration. Mech. Anal. 184(1), 121-183 (2007).
    • (2007) Ration. Mech. Anal. , vol.184 , Issue.1 , pp. 121-183
    • Texier, B.1
  • 28
    • 23044525771 scopus 로고    scopus 로고
    • Global solution to the equations of viscous gas flows
    • Wang D.: Global solution to the equations of viscous gas flows. Proc. Roy. Soc. Edinburgh Sect. A 131(2), 437-449 (2001).
    • (2001) Proc. Roy. Soc. Edinburgh Sect. A , vol.131 , Issue.2 , pp. 437-449
    • Wang, D.1
  • 29
    • 33748981499 scopus 로고    scopus 로고
    • Large BV solutions to the compressible isothermal Euler-Poisson equations with spherical symmetry
    • Wang D., Wang Z.: Large BV solutions to the compressible isothermal Euler-Poisson equations with spherical symmetry. Nonlinearity 19(8), 1985-2004 (2006).
    • (2006) Nonlinearity , vol.19 , Issue.8 , pp. 1985-2004
    • Wang, D.1    Wang, Z.2


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