38 citations · 182 across the 59 of their papers we have counts for
4 papers · 2 filters
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…
Exponential attractors for random dynamical systems and applications
Armen Shirikyan, Sergey Zelik
The paper is devoted to constructing a random exponential attractor for some classes of stochastic PDE's. We first prove the existence of an exponential attractor for abstract rand…
Global well-posedness in uniformly local spaces for the Cahn-Hilliard equation in R^3
Jon Pennant, Sergey Zelik
We study the infinite-energy solutions of the Cahn-Hilliard equation in the whole 3D space in uniformly local phase spaces. In particular, we establish the global existence of solu…
Infinite Energy Solutions for Damped Navier-Stokes Equations in R2
Sergey Zelik
We study the so-called damped Navier-Stokes equations in the whole 2D space. The global well-posedness, dissipativity and further regularity of weak solutions of this problem in th…