Convergence of compressible Euler-Maxwell equations to compressible Euler-Poisson equations

Chinese Annals of Mathematics. Series B

Volumn 28, Issue 5, 2007, Pages 583-602

  Peng, Yuejun ^a   Wang, Shu ^b  

^a UNIVERSITÉ BLAISE PASCAL   (France)

^b BEIJING UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Asymptotic expansion and convergence; Compressible Euler Poisson equations; Euler Maxwell equations; Non relativistic limit

Indexed keywords

EID: 36448943978     PISSN: 02529599     EISSN: 18606261     Source Type: Journal    
DOI: 10.1007/s11401-005-0556-3     Document Type: Article

References (18)

1. Besse, C., Claudel, J., Degond, P. et al, A model hierarchy for ionospheric plasma modeling, Math. Models Methods Appl. Sci., 14, 2004, 393-415.
2. Brenier, Y., Convergence of the Vlasov-Poisson system to the incompressible Euler equations, Comm. Partial Differential Equations, 25, 2000, 737-754.
3. 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. Acad. Sci. Paris, 321, 1995, 953-959.
4. Chen, F., Introduction to Plasma Physics and Controlled Fusion, Vol. 1, Plenum Press, New York, 1984.
5. Chen, G. Q., Jerome, J. W. and Wang, D. H., Compressible Euler-Maxwell equations, Transport Theory and Statistical Physics, 29, 2000, 311-331.
6. Cordier, S. and Grenier, E., Quasineutral limit of an Euler-Poisson system arising from plasma physics, Comm. Partial Differential Equations, 25, 2000, 1099-1113.
7. Evans, L. C., Partial Differential Equations, A. M. S., Springer-Verlag, New York, 1999.
8. Klainerman, S. and Majda, A., Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids, Comm. Pures Appl. Math., 34, 1981, 481-524.
9. Majda, A., Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables, Springer-Verlag, New York, 1984.
10. Markowich, P., Ringhofer, C. A. and Schmeiser, C., Semiconductor Equations, Springer-Verlag, New York, 1990.
11. Peng, Y. J., Some asymptotic analysis in steady-state Euler-Poisson equations for potential flow, Asymptotic Anal., 36, 2003, 75-92.
12. Peng, Y. J. and Wang, Y. G., Convergence of compressible Euler-Poisson equations to incompressible type Euler equations, Asymptotic Anal., 41, 2005, 141-160.
13. Rishbeth, H. and Garriott, O. K., Introduction to Ionospheric Physics, Academic Press, New York, 1969.
14. p (0, T;B), Ann. Math. Pura Appl., 146, 1987, 65-96.
15. Slemrod, M. and Sternberg, N., Quasi-neutral limit for the Euler-Poisson system, J. Nonlinear Sciences, 11, 2001, 193-209.
16. Stein, E., Singular Integrals and Differentiability, Princeton, Princeton Univ. Press, New Jersey, 1970.
17. Wang, S., Quasineutral limit of Euler-Poisson system with and without viscosity, Comm. Partial Differential Equations, 29, 2004, 419-456.
18. Wang, S. and Jiang, S., The convergence of the Navier-Stokes-Poisson system to the incompressible Euler equations, Comm. Partial Differential Equations, 31, 2006, 571-591.