Applied Mathematics and Mechanics >
Asymptotic behaviors of solutions for dissipative quantum Zakharov equations
Received date: 2011-05-09
Revised date: 2011-02-02
Online published: 2012-04-15
Supported by
Project supported by the National Natural Science Foundation of China (No.11061003)
Yan-feng GUO;Bo-ling GUO;Dong-long LI . Asymptotic behaviors of solutions for dissipative quantum Zakharov equations[J]. Applied Mathematics and Mechanics, 2012 , 33(4) : 511 -524 . DOI: 10.1007/s10483-012-1567-8
[1] Markowich, P. A., Ringhofer, C. A., and Schmeiser, C. Semiconductor Equations, Springer, Vienna(1990)
[2] Jung, Y. D. Quantum-mechanical effects on electron-electron scattering in dense high-temperature plasmas. Physics of Plasmas, 8(8), 3842-3844 (2001)
[3] Kremp, D., Bornath, T., Bonitz, M., and Schlanges, M. Quantum kinetic theory of plasmas instrong laser fields. Physical Review E, 60(4), 4725-4732 (1999)
[4] Haas, F., Garcia, L. G., Goedert, J., and Manfredi, G. Quantum ion-acoustic waves. Physics of Plasmas, 10(10), 3858-3866 (2003)
[5] Manfredi, G. and Haas, F. Self-consistent fluid model for a quantum electron gas. Physical Review B, 64(7), 075316 (2001)
[6] López, J. L. Nonlinear Ginzburg-Landau-type approach to quantum dissipation. Physical ReviewE, 69(2), 026110 (2004)
[7] Garcia, L. G., Haas, F., de Oliveira, L. P. L., and Goedert, J. Modified Zakharov equations forplasmas with a quantum correction. Physics of Plasmas, 12(1), 012302 (2005)
[8] Zakharov, V. E. Collapse of Langmuir waves. Soviet Physics-JETP, 35, 908-914 (1972)
[9] Flahaut, I. Attactors for the dissipative Zakharov system. Nonlinear Analysis: Theory, Methods& Applications, 16(7-8), 599-633 (1991)
[10] Guo, B. and Shen, L. The global existence and uniqueness of classical solutions of periodic initialboundary problems of Zakharov equations. Acta Mathematicae Applicatae Sinica, 5(2), 310-324(1982)
[11] Guo, B. On the IBVP for some more extensive Zakharov equations. Journal of Mathematical Physics, 7(3), 269-275 (1987)
[12] Goubet, O. and Moise, I. Attractors for dissipative Zakharov system. Nonlinear Analysis: Theory,Methods & Applications, 31(7), 823-847 (1998)
[13] Li, Y. On the initial boundary value problems for two dimensional systems of Zakharov equationsand of complex-SchrÖdinger-real-Boussinesq equations. Journal of Partial Differential Equations,5(2), 81-93 (1992)
[14] Bourgain, J. On the Cauchy and invariant measure problem for the periodic Zakharov system.Duke Mathematical Journal, 76(1), 175-202 (1994)
[15] Bourgain, J. and Colliander, J. On wellposedness of the Zakharov system. International Mathematics Research Notices, 11, 515-546 (1996)
[16] Bejenaru, I., Herr, S., Holmer, J., and Tataru, D. On the 2D Zakharov system with L2 SchrÖdingerdata. Nonlinearity, 22(5), 1063-1089 (2009)
[17] Chueshov, I. D. and Shcherbina, A. S. On 2D Zakharov system in a bounded domain. Differentialand Integral Equations, 18(7), 781-812 (2005)
[18] Ghidaglia, J. M. and Temam, R. Attractors for damped nonlinear hyperbolic equations. Journalde Mathematiques Pures et Appliquees, 66, 273-319 (1987)
[19] Temam, R. Infinite-Dimensional Dynamical Systems in Mechanics and Physics, Springer-Verlag,New York (1988)
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