Add to ORKGAbstract. We study the initial boundary value problem for the damped hyperbolic equation arising in the micro-electro mechanical system device with local or nonlocal singular nonlinearity. For both cases, we provide some criteria for quenching and global existence of the solution. We also derive the existence of the quenching curve for the corresponding Cauchy problem with local source
AbstractThe existence and uniqueness of the local generalized solution to the initial boundary value...
Abstract. In this paper, we study nonlinear equation arising in MEMS modeling electrostatic actuatio...
We establish existence and regularity results for a time dependent fourth-order integro-differential...
[[abstract]]We study the initial boundary value problem for the damped hyperbolic equation arising i...
Abstract. In this paper, we study a nonlocal parabolic problem arising in the study of micro-electro...
We consider a nonlocal parabolic model for a micro-electro-mechanical system. Specifically, for a ra...
[[abstract]]In this paper, we study the quenching rate of the solution for a nonlocal parabolic prob...
Abstract. In this paper, we study an evolution problem arises in the study of MEMS (micro-electro me...
[[abstract]]We consider a nonlocal parabolic equation associated with Dirichlet boundary and initial...
[[abstract]]This paper is devoted to the study of the self-similar solutions for a semilinear parabo...
In this paper an initial-boundary value problem for a nonlinear string (or wave) equation with non-c...
AbstractThis paper gives the sufficient conditions of blow-up of the solution of a nonlinear damped ...
In this paper we study the local wellposedness of the solution to a non-linear parabolic-dispersive ...
In the current work, we study a stochastic parabolic problem. The presented problem is motivated by ...
We consider a free boundary problem modeling electrostatic microelectromechanical systems. The model...
AbstractThe existence and uniqueness of the local generalized solution to the initial boundary value...
Abstract. In this paper, we study nonlinear equation arising in MEMS modeling electrostatic actuatio...
We establish existence and regularity results for a time dependent fourth-order integro-differential...
[[abstract]]We study the initial boundary value problem for the damped hyperbolic equation arising i...
Abstract. In this paper, we study a nonlocal parabolic problem arising in the study of micro-electro...
We consider a nonlocal parabolic model for a micro-electro-mechanical system. Specifically, for a ra...
[[abstract]]In this paper, we study the quenching rate of the solution for a nonlocal parabolic prob...
Abstract. In this paper, we study an evolution problem arises in the study of MEMS (micro-electro me...
[[abstract]]We consider a nonlocal parabolic equation associated with Dirichlet boundary and initial...
[[abstract]]This paper is devoted to the study of the self-similar solutions for a semilinear parabo...
In this paper an initial-boundary value problem for a nonlinear string (or wave) equation with non-c...
AbstractThis paper gives the sufficient conditions of blow-up of the solution of a nonlinear damped ...
In this paper we study the local wellposedness of the solution to a non-linear parabolic-dispersive ...
In the current work, we study a stochastic parabolic problem. The presented problem is motivated by ...
We consider a free boundary problem modeling electrostatic microelectromechanical systems. The model...
AbstractThe existence and uniqueness of the local generalized solution to the initial boundary value...
Abstract. In this paper, we study nonlinear equation arising in MEMS modeling electrostatic actuatio...
We establish existence and regularity results for a time dependent fourth-order integro-differential...