Citation: | GUO Yan-feng, GUO Bo-ling, LI Dong-long. Asymptotic Behaviors of the Solutions for Dissipative Quantum Zakharov Equations[J]. Applied Mathematics and Mechanics, 2012, 33(4): 486-499. doi: 10.3879/j.issn.1000-0887.2012.04.009 |
[1] |
Markowich P A, Ringhofer C A, Schmeiser C. Semiconductor Equations[M]. Vienna: Springer, 1990.
|
[2] |
Jung Y D. Quantum-mechanical effects on electron-electron scattering in dense high-temperature plasmas[J]. Phys Plasmas, 2001, 8(8): 3842-3844.
|
[3] |
Kremp D, Bornath Th, Bonitz M, Schlanges M. Quantum kinetic theory of plasmas in strong laser fields[J]. Phys Rev E, 1999, 60(4): 4725-4732.
|
[4] |
Manfredi G, Haas F. Self-consistent fluid model for a quantum electron gas[J]. Phys Rev B, 2001, 64(7): 075316.
|
[5] |
Haas F, Garcia L G, Goedert J, Manfredi G. Quantum ion-acoustic waves[J]. Phys Plasmas, 2003, 10(10): 3858-3866.
|
[6] |
López J L. Nonlinear Ginzburg-Landau-type approach to quantum dissipation[J].Phys Rev E, 2004, 69(2): 026110.
|
[7] |
Garcia L G, Haas F, de Oliveira L P L, Goedert J. Modified Zakharov equations for plasmas with a quautum correction[J]. Phys Plasmas, 2005, 12(1): 012302-8.
|
[8] |
Zakharov V E. Collapse of Langmuir waves[J]. Sov Phys JETP, 1972, 35: 908-914.
|
[9] |
Flahaut I. Attactors for the dissipative Zakharov system[J]. Nonlinear Analysis, TMA, 1991, 16(7/8): 599-633.
|
[10] |
Guo B, Shen L. The global existence and uniqueness of classical solutions of periodic initial boundary problems of Zakharov equations[J]. Acta Math Appl Sin, 1982, 5(2): 310-324.
|
[11] |
Guo B. On the IBVP for some more extensive Zakharov equations[J]. J Math Phys, 1987, 7(3): 269-275.
|
[12] |
Goubet O, Moise I. Attractors for dissipative Zakharov system[J]. Nonlinear Analysis, TMA, 1998, 31(7): 823-847.
|
[13] |
Li Y. On the initial boundary value problems for two dimensional systems of Zakharov equations and of complex-Schrdinger-real-Boussinesq equations[J]. J P Diff Eq, 1992, 5(2): 81-93.
|
[14] |
Bourgain J. On the Cauchy and invariant measure problem for the periodic Zakharov system[J]. Duke Math J, 1994, 76(1): 175-202.
|
[15] |
Bourgain J, Colliander J. On wellposedness of the Zakharov system[J]. Internat Math Res Notices, 1996, 11: 515-546.
|
[16] |
Bejenaru I, Herr S, Holmer J, Tataru D. On the 2D Zakharov system with L2 Schrdinger data[J]. Nonlinearity, 2009, 22(5): 1063-1089.
|
[17] |
Chueshov I D, Shcherbina A S. On 2D Zakharov system in a bounded domain[J]. Diff Int Eq, 2005, 18(7): 781-812.
|
[18] |
Ghidaglia J M, Temam R. Attractors for damped nonlinear hyperbolic equations[J]. J Math Pure Appl, 1987, 66(3): 273-319.
|
[19] |
Temam R. Infinite-Dimensional Dynamical Systems in Mechanics and Physics[M]. New York: Springer-Verlag, 1988.
|