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The Global Solution for a Class of Dissipative Hasegawa-Mima Equation 被引量:6

The Global Solution for a Class of Dissipative Hasegawa-Mima Equation
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摘要 Applying the integral a priori estimates method, the existence and uniqueness ofthe global solution for the dissipative Hasegawa-Mima equation with initial periodic bound-ary condition was proved.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2005年第4期360-366,共7页 数学季刊(英文版)
基金 Supported by the Natural Science Foundation of Henan Educational Committee(2003110005) Supported by the Natural Science Foundation of Henan University(XK02069)
关键词 Hasegawa-Mima equation a priori estimate global solution Hasegawa-Mima方程 整体解 耗散函数 先验估计
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参考文献6

  • 1HASEGAWA A, MIMA K. Pseudo-three-dimensional turbulence in magnetized nonuniform plasma[J]. Phys Fluids, 1978, 21(1): 87-92.
  • 2PEDDOSHY J. Geophysical Fluid Dynamics[M]. New York: Springer-Verlag, 1987.
  • 3SPASCHEK K H, ZANG W, WANLIN V, MUHM A. Self-organization of nonlinear waves and vortices is Driven and damped systems[J]. Nonlinear Dispersive Waves, 1992: 507-538.
  • 4TEMAM R. Infinite Dimensional Dynamical Systems in Mechanics and Physics[M]. New York: SpringerVerlag, 2000.
  • 5FRIEDMAN A. Partial Differential Equations[M]. Prentice-Hall: Inc, 1964.
  • 6GUO Bo-ling. The global solutions for one class of the system of long-short nonlinear wave interaction[J].J Math Res Exposition, 1987, 9(1): 69-76.

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