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LI Dong-long, GUO Bo-ling. Inertial Fractal Set for Complex Ginzburg-Landau Equation in Three-dimension[J]. Journal of East China Normal University (Natural Sciences), 2004, (3): 29-35.
Citation:
LI Dong-long, GUO Bo-ling. Inertial Fractal Set for Complex Ginzburg-Landau Equation in Three-dimension[J]. Journal of East China Normal University (Natural Sciences), 2004, (3): 29-35.
LI Dong-long, GUO Bo-ling. Inertial Fractal Set for Complex Ginzburg-Landau Equation in Three-dimension[J]. Journal of East China Normal University (Natural Sciences), 2004, (3): 29-35.
Citation:
LI Dong-long, GUO Bo-ling. Inertial Fractal Set for Complex Ginzburg-Landau Equation in Three-dimension[J]. Journal of East China Normal University (Natural Sciences), 2004, (3): 29-35.
This paper considers the complex Ginzburg-Landau equation in three spatial dimensions. The Lipschitz continuity and the squeezing property of the semigroup S(t) associated with the initial-value problem of complex Ginzburg-Landau equation are proved. Therefore the existence of inertial fractal sets is obtained.