most citedAnalytical Proof of Space-Time Chaos in Ginzburg-Landau Equations

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math.AP2010

Existence of solutions and separation from singularities for a class of fourth order degenerate parabolic equations

Giulio Schimperna, Sergey Zelik

A nonlinear parabolic equation of the fourth order is analyzed. The equation is characterized by a mobility coefficient that degenerates at 0. Existence of at least one weak soluti…

math.DS2010★ 1 cited

Analytical Proof of Space-Time Chaos in Ginzburg-Landau Equations

D. Turaev, S. Zelik

We prove that the attractor of the 1D quintic complex Ginzburg-Landau equation with a broken phase symmetry has strictly positive space-time entropy for an open set of parameter va…