2 papers
math.AP2010
Log-Lipschitz continuity of the vector field on the attractor of certain parabolic equations
Eleonora Pinto de Moura, James C. Robinson
We discuss various issues related to the finite-dimensionality of the asymptotic dynamics of solutions of parabolic equations. In particular, we study the regularity of the vector…
math.DS2010
Embedding of global attractors and their dynamics
Eleonora Pinto de Moura, James C. Robinson, Jaime J. Sánchez-Gabites
Using shape theory and the concept of cellularity, we show that if is the global attractor associated with a dissipative partial differential equation in a real Hilbert space $…