Add to ORKGThe extensible beam equation proposed by Woinovsky-Krieger is a fourth order dispersive equation with nonlocal nonlinear terms. In this paper we study the Cauchy problem of the extended model by Ball who proposed the model with external and structural damping terms. This includes a Kelvin-Voigt damping. We show the unique global existence of solution for this problem and give a precise description of the decay of solutions in time
We prove the exponential decay in the case n> 2, as time goes to infinity, of regular so-lutions ...
In mathematical physics we increasingly encounter PDEs models connected with vibration problems for ...
AbstractIn this note we obtain another form of Morawetz-type identity by Lagrange method and present...
We study the Cauchy problem of the Ball model for an extensible beam: \[\rho \partial_t^2 u + \delta...
In this work we study existence of solutions for an abstract coupled system of nonlinear equations o...
AbstractWe prove the existence and uniqueness of global solutions for the Cauchy problem concerning ...
summary:It is proved that any weak solution to a nonlinear beam equation is eventually globally osci...
A PDE system modeling the dynamics of an extensible beam hav- ing one of its ends constrained betwee...
A PDE system modeling the dynamics of an extensible beam having one of its ends constrained between ...
Simultaneously, considering the viscous effect of material, damping of medium, and rotational inerti...
AbstractWe study the initial value problem for some semilinear damped beam equation. In Takeda and Y...
We consider the nonlinear beam equation utt + a(x)ut − f(ux)x + uxxxx = 0 in a bounded interval (0, ...
Neste trabalho estamos interessados na existência, unicidade e na taxa de decaimento de solução para...
Abstract This paper deals with the initial boundary value problem for the nonlinear beam equation wi...
This work is devoted to prove the exponential decay for the energy of solutions of the Korteweg-de V...
We prove the exponential decay in the case n> 2, as time goes to infinity, of regular so-lutions ...
In mathematical physics we increasingly encounter PDEs models connected with vibration problems for ...
AbstractIn this note we obtain another form of Morawetz-type identity by Lagrange method and present...
We study the Cauchy problem of the Ball model for an extensible beam: \[\rho \partial_t^2 u + \delta...
In this work we study existence of solutions for an abstract coupled system of nonlinear equations o...
AbstractWe prove the existence and uniqueness of global solutions for the Cauchy problem concerning ...
summary:It is proved that any weak solution to a nonlinear beam equation is eventually globally osci...
A PDE system modeling the dynamics of an extensible beam hav- ing one of its ends constrained betwee...
A PDE system modeling the dynamics of an extensible beam having one of its ends constrained between ...
Simultaneously, considering the viscous effect of material, damping of medium, and rotational inerti...
AbstractWe study the initial value problem for some semilinear damped beam equation. In Takeda and Y...
We consider the nonlinear beam equation utt + a(x)ut − f(ux)x + uxxxx = 0 in a bounded interval (0, ...
Neste trabalho estamos interessados na existência, unicidade e na taxa de decaimento de solução para...
Abstract This paper deals with the initial boundary value problem for the nonlinear beam equation wi...
This work is devoted to prove the exponential decay for the energy of solutions of the Korteweg-de V...
We prove the exponential decay in the case n> 2, as time goes to infinity, of regular so-lutions ...
In mathematical physics we increasingly encounter PDEs models connected with vibration problems for ...
AbstractIn this note we obtain another form of Morawetz-type identity by Lagrange method and present...