[1] Ali G, J\"{u}ngel A. Global smooth solutions to the multi-dimensional hydrodynamic model for two-carrier plasma.
J Differential Equations, 2003, 190: 663--685
[2] Gasser I, Hsiao L, Li H L. Large time behavior of solutions of the bipolar hydrodynamical model for semiconductors.
J Differential Equations, 2003, 192: 326--359
[3] Gasser I, Marcati P. The combined relaxation and vanishing Debye length limit in the hydrodynamic model for
semiconductors. Math Meth Appl Sci, 2001, 24: 81--92
[4] J\"{u}ngel A. Quasi-hydrodynamic Semiconductor Equations. Progress in Nonlinear Differential Equations. Basel, Boston, Berlin: Birk\"{a}user, 2001
[5] Ju Q C. Global smooth solutions to the multidimensional hydrodynamic model for plasmas with insulating boundary conditions. J Math Anal Appl, 2007, 336: 888--904
[6] Huang F M, Li Y P. Large time behavior and quasineutral limit of solutions to a bipolar hydrodynamic model with large data and vacuum. Dis Contin Dyn System, 2009, A24: 455--470
[7] Hsiao L, Zhang K J. The global weak solution and relaxation limits of the initial boundary value problem to the bipolar hydrodynamic model for semiconductors. Math Models Methods Appl Sci, 2000, 10: 1333--1361
[8] Lattanzio C. On the 3-D bipolar isentropic Euler-Poisson model for semiconductors and the drift-diffusion limit. Math Models Methods Appl Sci, 2000, 10: 351--360
[9] Li Y P. Diffusion relaxation limit of a bipolar isentropic hydrodynamic model for semiconductors. J Math Anal Appl, 2007, 336: 1341--1356
[10] Li Y P. The Cauchy-Neumann problem for a multidimensional nonisentropic hydrodynamic semiconductor model.
Nonlinearity, 2005, 18: 559--580
[11] Li Y P. Stationary solutions for a one-dimensional nonisentropic hydrodynamical model for semiconductors. Acta Mathmatica Scientia, 2008, 28B: 479--498
[12] Markowich P A, Ringhofev C A, Schmeiser C. Semiconductor Equations. Wien, New York: Springer-Verlag, 1990
[13] Natalini R. The bipolar hydrodynamic model for semiconductors and the drift-diffusion equation. J Math Anal Appl, 1996, 198: 262--281
[14] Pan R H, Zhao K. The 3D compressible Euler equations with damping in a bounded domain. To be published in
J Differential Equations
[15] Schochet S. The compressible Euler equations in a bounded domain: existence of solutions and the ncompressible limit. Comm Math Phys, 1986, 104: 49--75
[16] Sideris T C, Thomases B, Wang D. Long time bebavior of solutions to the 3D compressible Euler equations with damping. Comm Partial Differential Equations, 2003, 28: 795--816
[17] Zhu C, Hattori H. Stability of steady state solutions for an isentropic hydrodynamic model of semiconductors of two species. J Differential Equations, 2000, 166: 1--32
[18] Zhou F, Li Y P. Existence and some limits of stationary solutions to a one-dimensional bipolar Euler-Poisson system. J Math Anal Appl, 2009, 351: 480--490 |