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math.DS2007
The Kuramoto-Sivashinsky equation in R^1 and R^2: effective estimates of the high-frequency tails and higher Sobolev norms
Milena Stanislavova, Atanas Stefanov
We consider the Kuramoto-Sivashinsky (KS) equation in finite domains of the form . Our main result provides refined Gevrey estimates for the solutions of the one dimensio…
math.DS2006
Attractors for the viscous Camassa-Holm equation
Milena Stanislavova, Atanas Stefanov
We show that the viscous Camassa-Holm equation subject to an external force, and where the viscosity term is given by second order differential operator in divergence form has a gl…