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NONLINEAR INSTABILITY OF EQUILIBRIUM SOLUTION FOR THE GINZBURG-LANDAU EQUATION

NONLINEAR INSTABILITY OF EQUILIBRIUM SOLUTION FOR THE GINZBURG-LANDAU EQUATION
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出处 《Journal of Partial Differential Equations》 2005年第3期227-234,共8页 偏微分方程(英文版)
关键词 GINZBURG-LANDAU方程 非线性不稳定性 平面波 周期解 Nonlinear instability Ginzburg-Landau equation.
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参考文献7

  • 1Guo Y, Strauss W. Nonlinear instability of double-humped equilibria. Ann. IHP(An. NL),1995.12: 339-352.
  • 2Friecilander S, Strauss W, Vishik M. Nonlinear instability in an ideal fluid. Ann. IHP(An.NL), 1997, 14: 187-209.
  • 3Matkowsky B J, Volpert V. Stability of plane wave solutions of complex Ginzburg-Landau eauations. Quart. Appl. Math., 1993, 51: 265-281.
  • 4Kapitula T. On the nonlinear Stability of plane waves for the Ginzburg-Landau equation.Comm. Pure Appl. Math, 1994, 47: 831-841.
  • 5Lunardi A. Analytic Semigroup and Optimal Regularity in Parabolic Problem. Birkhaiuser,1995.
  • 6Henry D. Geometric Theory of Semilinear Parabolic Equations. New York, Springer-Verlag, 1980.
  • 7Guo D. Nonlinear Functional Analysis. (in Chinese), Shandong Sci. & Tech. Press, 1985.

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