The Cahn-Hilliard equation is a fundamental model that describes the phase separation
process in multi-component mixtures. It has been successfully extended to many different …

We consider a well-known diffuse interface model for the study of the evolution of an
incompressible binary fluid flow in a two or three-dimensional bounded domain. This model …

Here we consider the nonlocal Cahn-Hilliard equation with constant mobility in a bounded
domain. We prove that the associated dynamical system has an exponential attractor …

We investigate the long term behavior in terms of finite dimensional global attractors and
(global) asymptotic stabilization to steady states, as time goes to infinity, of solutions to a non …

We consider the heat equation in a bounded domain of RN with distributed control
(supported on a small open subset) subject to dynamic boundary conditions of surface …

We investigate a class of semilinear parabolic and elliptic problems with fractional dynamic
boundary conditions. We introduce two new operators, the so-called fractional Wentzell …

In this study, we investigate reaction-diffusion and elliptic-like equations with two classes of
dynamic boundary conditions, of reactive and reactive-diffusive type. We provide sharp …

We prove existence of martingale solutions for the stochastic Cahn–Hilliard equation with
degenerate mobility and multiplicative Wiener noise. The potential is allowed to be of …

The article deals with nonlinear second-order evolutionary partial differential equations
(PDEs) of the parabolic type with a reasonably general form. We consider the case of PDE …

The existence of a unique minimal pullback attractor is established for the evolutionary
process associated with a non-autonomous quasi-linear parabolic equations with a …