In this paper, we study initial–boundary value problems for the Cahn–Hilliard system with convection and nonconvex potential, where dynamic boundary conditions are assumed for both the associated order parameter and the corresponding chemical potential. While recent works addressed the case of viscous Cahn–Hilliard systems, the ‘pure’ nonviscous case is investigated here. In its first part, the paper deals with the asymptotic behavior of the solutions as time approaches infinity. It is shown that the ω-limit of any trajectory can be characterized in terms of stationary solutions, provided the initial data are sufficiently smooth. The second part of the paper deals with the optimal control of the system by the fluid velocity. Results concern...
A boundary control problem for the viscous Cahn-Hilliard equations with possibly singular potentials...
In this paper we establish second-order sufficient optimality conditions for a boundary control prob...
In this paper we establish second-order sufficient optimality conditions for a boundary control prob...
In this paper, we study initial-boundary value problems for the CahnHilliard system with convection ...
In this paper, we study initial-boundary value problems for the Cahn--Hilliard system with convectio...
The pure or viscous Cahn - Hilliard equation with possibly singular potentials and dynamic boundary ...
The pure or viscous Cahn - Hilliard equation with possibly singular potentials and dynamic boundary ...
In this paper, we study the longtime asymptotic behavior of a phase separation process occurring in ...
In this paper, we study the longtime asymptotic behavior of a phase separation process occurring in ...
A boundary control problem for the viscous Cahn–Hilliard equations with possibly singular potentials...
A boundary control problem for the viscous Cahn–Hilliard equations with possibly singular potentials...
A boundary control problem for the viscous Cahn–Hilliard equations with possibly singular potentials...
In this paper, we investigate a distributed optimal control problem for a convective viscous Cahn--H...
In this paper, we investigate a distributed optimal control problem for a convective viscous Cahn--H...
A boundary control problem for the viscous Cahn-Hilliard equations with possibly singular potentials...
A boundary control problem for the viscous Cahn-Hilliard equations with possibly singular potentials...
In this paper we establish second-order sufficient optimality conditions for a boundary control prob...
In this paper we establish second-order sufficient optimality conditions for a boundary control prob...
In this paper, we study initial-boundary value problems for the CahnHilliard system with convection ...
In this paper, we study initial-boundary value problems for the Cahn--Hilliard system with convectio...
The pure or viscous Cahn - Hilliard equation with possibly singular potentials and dynamic boundary ...
The pure or viscous Cahn - Hilliard equation with possibly singular potentials and dynamic boundary ...
In this paper, we study the longtime asymptotic behavior of a phase separation process occurring in ...
In this paper, we study the longtime asymptotic behavior of a phase separation process occurring in ...
A boundary control problem for the viscous Cahn–Hilliard equations with possibly singular potentials...
A boundary control problem for the viscous Cahn–Hilliard equations with possibly singular potentials...
A boundary control problem for the viscous Cahn–Hilliard equations with possibly singular potentials...
In this paper, we investigate a distributed optimal control problem for a convective viscous Cahn--H...
In this paper, we investigate a distributed optimal control problem for a convective viscous Cahn--H...
A boundary control problem for the viscous Cahn-Hilliard equations with possibly singular potentials...
A boundary control problem for the viscous Cahn-Hilliard equations with possibly singular potentials...
In this paper we establish second-order sufficient optimality conditions for a boundary control prob...
In this paper we establish second-order sufficient optimality conditions for a boundary control prob...