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Volumn 342, Issue 2, 2008, Pages 1107-1125

Convergence of the nonisentropic Euler-Poisson equations to incompressible type Euler equations

Author keywords

Asymptotic expansion; Nonisentropic Euler type equations; Nonisentropic Euler Poisson equations; Quasi neutral limit

Indexed keywords


EID: 40649119867     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2007.12.067     Document Type: Article
Times cited : (13)

References (21)
  • 1
    • 0034353696 scopus 로고    scopus 로고
    • Global existence and relaxation limit for smooth solutions to the Euler-Poisson model for semiconductors
    • Ali G., Bini D., and Rionero S. Global existence and relaxation limit for smooth solutions to the Euler-Poisson model for semiconductors. SIAM J. Math. Anal. 32 (2000) 572-587
    • (2000) SIAM J. Math. Anal. , vol.32 , pp. 572-587
    • Ali, G.1    Bini, D.2    Rionero, S.3
  • 2
    • 0001298394 scopus 로고
    • Analyse asymptotique de l'équation de Poisson couplée à la relation de Boltzmann. Quasi-neutralité des plasmas
    • Brézis H., Golse F., and Sentis R. Analyse asymptotique de l'équation de Poisson couplée à la relation de Boltzmann. Quasi-neutralité des plasmas. C. R. Math. Acad. Sci. Paris 321 (1995) 953-959
    • (1995) C. R. Math. Acad. Sci. Paris , vol.321 , pp. 953-959
    • Brézis, H.1    Golse, F.2    Sentis, R.3
  • 3
    • 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 (2000) 1099-1113
    • (2000) Comm. Partial Differential Equations , vol.25 , pp. 1099-1113
    • Cordier, S.1    Grenier, E.2
  • 4
    • 0002209968 scopus 로고
    • On a one-dimensional steady-state hydrodynamic model for semiconductors
    • Degond P., and Markowich P.A. On a one-dimensional steady-state hydrodynamic model for semiconductors. Appl. Math. Lett. 3 (1990) 25-29
    • (1990) Appl. Math. Lett. , vol.3 , pp. 25-29
    • Degond, P.1    Markowich, P.A.2
  • 5
    • 0031103820 scopus 로고    scopus 로고
    • Weak solutions to a one-dimensional hydrodynamic model for semiconductors
    • Fang W., and Ito K. Weak solutions to a one-dimensional hydrodynamic model for semiconductors. Nonlinear Anal. 28 (1997) 947-963
    • (1997) Nonlinear Anal. , vol.28 , pp. 947-963
    • Fang, W.1    Ito, K.2
  • 6
    • 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 (1992) 553-577
    • (1992) Comm. Partial Differential Equations , vol.17 , pp. 553-577
    • Gamba, I.M.1
  • 7
    • 0036327823 scopus 로고    scopus 로고
    • The Cauchy problem to the multidimensional full hydrodynamic model for semiconductors
    • Hsiao L., and Wang S. The Cauchy problem to the multidimensional full hydrodynamic model for semiconductors. Math. Models Methods Appl. Sci. 12 (2002) 777-796
    • (2002) Math. Models Methods Appl. Sci. , vol.12 , pp. 777-796
    • Hsiao, L.1    Wang, S.2
  • 9
    • 0001388949 scopus 로고
    • Global weak solutions of the one-dimensional hydrodynamic model for semiconductors to the drift-diffusion equations
    • Jochmann F. Global weak solutions of the one-dimensional hydrodynamic model for semiconductors to the drift-diffusion equations. Math. Models Methods Appl. Sci. 3 (1993) 759-788
    • (1993) Math. Models Methods Appl. Sci. , vol.3 , pp. 759-788
    • Jochmann, F.1
  • 11
    • 40649090271 scopus 로고    scopus 로고
    • S. Kawashima, Systems of a hyperbolic-parabolic composite type, with applications to the equations of magnetohydrodynamics, PhD thesis, Kyoto Univ., December 1983
    • S. Kawashima, Systems of a hyperbolic-parabolic composite type, with applications to the equations of magnetohydrodynamics, PhD thesis, Kyoto Univ., December 1983
  • 12
    • 0000067332 scopus 로고    scopus 로고
    • Large time behavior of the solutions to a hydrodynamic model for semiconductors
    • Luo T., Natalini R., and Xin Z. Large time behavior of the solutions to a hydrodynamic model for semiconductors. SIAM J. Appl. Math. 59 (1998) 810-830
    • (1998) SIAM J. Appl. Math. , vol.59 , pp. 810-830
    • Luo, T.1    Natalini, R.2    Xin, Z.3
  • 14
    • 11944259356 scopus 로고    scopus 로고
    • Convergence of compressible Euler-Poisson equations to incompressible type Euler equations
    • Peng Y.-J., and Wang Y.-G. Convergence of compressible Euler-Poisson equations to incompressible type Euler equations. Asymptot. Anal. 41 (2005) 141-160
    • (2005) Asymptot. Anal. , vol.41 , pp. 141-160
    • Peng, Y.-J.1    Wang, Y.-G.2
  • 15
    • 0242414001 scopus 로고    scopus 로고
    • Some analysis in steady-state Euler-Poisson equations for potential flow
    • Peng Y.J. Some analysis in steady-state Euler-Poisson equations for potential flow. Asymptot. Anal. 36 (2003) 75-92
    • (2003) Asymptot. Anal. , vol.36 , pp. 75-92
    • Peng, Y.J.1
  • 16
    • 33751070766 scopus 로고    scopus 로고
    • Quasi-neutral limit of the nonisentropic Euler-Poisson systems
    • Peng Y.-J., Wang Y.-G., and Yong W.-A. Quasi-neutral limit of the nonisentropic Euler-Poisson systems. Proc. Roy. Soc. Edinburgh Sect. A 136 (2006) 1013-1026
    • (2006) Proc. Roy. Soc. Edinburgh Sect. A , vol.136 , pp. 1013-1026
    • Peng, Y.-J.1    Wang, Y.-G.2    Yong, W.-A.3
  • 17
    • 0002386581 scopus 로고    scopus 로고
    • On singular perturbation problems for the nonlinear Poisson equation or: A mathematical approach to electrostatic sheaths and plasmas erosion
    • France
    • Raviart P. On singular perturbation problems for the nonlinear Poisson equation or: A mathematical approach to electrostatic sheaths and plasmas erosion. Lecture Notes of the Summer School in Ile d'Oléron (1997), France 452-539
    • (1997) Lecture Notes of the Summer School in Ile d'Oléron , pp. 452-539
    • Raviart, P.1
  • 18
    • 0038101707 scopus 로고    scopus 로고
    • Quasi-neutral limit for the Euler-Poisson system
    • Slemrod M., and Sternberg N. Quasi-neutral limit for the Euler-Poisson system. J. Nonlinear Sci. 11 (2001) 193-209
    • (2001) J. Nonlinear Sci. , vol.11 , pp. 193-209
    • Slemrod, M.1    Sternberg, N.2
  • 19
    • 1842733303 scopus 로고    scopus 로고
    • Quasineutral limit of Euler-Poisson system with and without viscosity
    • Wang S. Quasineutral limit of Euler-Poisson system with and without viscosity. Comm. Partial Differential Equations 29 (2004) 419-456
    • (2004) Comm. Partial Differential Equations , vol.29 , pp. 419-456
    • Wang, S.1
  • 20
    • 0000247984 scopus 로고    scopus 로고
    • Global weak solutions of the Cauchy problem to a hydrodynamic model for semiconductors
    • Zhang B. Global weak solutions of the Cauchy problem to a hydrodynamic model for semiconductors. J. Partial Differential Equations 12 (1999) 369-389
    • (1999) J. Partial Differential Equations , vol.12 , pp. 369-389
    • Zhang, B.1
  • 21
    • 0000001766 scopus 로고    scopus 로고
    • Asymptotic behavior of the solution to a non-isentropic hydrodynamic model of semiconductors
    • Zhu C., and Hattori H. Asymptotic behavior of the solution to a non-isentropic hydrodynamic model of semiconductors. J. Differential Equations 144 (1998) 353-389
    • (1998) J. Differential Equations , vol.144 , pp. 353-389
    • Zhu, C.1    Hattori, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.