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math.AP2012★ 4 cited
Global solvability and blow up for the convective Cahn-Hilliard equations with concave potentials
A. Eden, V. K. Kalantarov, S. V. Zelik
We study initial boundary value problems for the convective Cahn-Hilliard equation $\Dt u +\px^4u +u\px u+\px^2(|u|^pu)=0$. It is well-known that without the convective term, the s…
math.AP2011★ 6 cited
Counterexamples to the regularity of Mane projections and global attractors
Alp Eden, Varga Kalanarov, Sergey Zelik
We study the global attractors of abstract semilinear parabolic equations and their projections to finite-dimensional planes. It is well-known that the attractor can be embedded in…
math.AP2010★ 1 cited
Infinite energy solutions for the Cahn-Hilliard equation in cylindrical domains
A. Eden, V. K. Kalantarov, S. V. Zelik
We give a detailed study of the infinite-energy solutions of the Cahn-Hilliard equation in the 3D cylindrical domains in uniformly local phase space. In particular, we establish th…