AbstractIn this paper we study the effects of a “nonlocal” term on the global dynamics of the Kuramoto–Sivashinsky equation. We show that the equation possesses a “family of maximal attractors” parameterized by the mean value of the initial data. The dimension of the attractor is estimated as a function of the coefficient of the nonlocal term and the width of the periodic domain
The Kuramoto–Sivashinsky equation in one spatial dimension (1D KSE) is one of the most well-known an...
We consider the initial value problem for the semilinear plate equation with nonlocal nonlinearity. ...
In this paper, firstly, some priori estimates are obtained for the existence and uniqueness of solu-...
AbstractIn this paper we study the effects of a “nonlocal” term on the global dynamics of the Kuramo...
AbstractDynamics for the stochastic Kuramoto–Sivashinsky equation with a nonlocal term is studied. W...
Nonlocal amplitude equations of the complex Ginzburg-Landau type arise in a few physical contexts, s...
AbstractWe prove that any solution of the Kuramoto–Sivashinsky equation either belongs to the global...
We study a nonlocal equation, analogous to the Kuramoto-Sivashinsky equation, in which shor...
AbstractWe study the analyticity properties of solutions of Kuramoto–Sivashinsky type equations and ...
In this article, we consider a non-local variant of the Kuramoto-Sivashinsky equation in three dimen...
The Kuramoto–Sivashinsky equation is a prototypical chaotic nonlinear partial differential equatio...
SIGLECNRS RP 148 (644) / INIST-CNRS - Institut de l'Information Scientifique et TechniqueFRFranc
In this paper we study a nonlocal approximation class for a classical nonlocal evolution equation in...
this paper, we prove new bounds on the Kuramoto-Sivashinsky equation (KS) by extending the ingenious...
In this paper the existence of a global attracting set for the weakly unstable Kuramoto-Sivashinskye...
The Kuramoto–Sivashinsky equation in one spatial dimension (1D KSE) is one of the most well-known an...
We consider the initial value problem for the semilinear plate equation with nonlocal nonlinearity. ...
In this paper, firstly, some priori estimates are obtained for the existence and uniqueness of solu-...
AbstractIn this paper we study the effects of a “nonlocal” term on the global dynamics of the Kuramo...
AbstractDynamics for the stochastic Kuramoto–Sivashinsky equation with a nonlocal term is studied. W...
Nonlocal amplitude equations of the complex Ginzburg-Landau type arise in a few physical contexts, s...
AbstractWe prove that any solution of the Kuramoto–Sivashinsky equation either belongs to the global...
We study a nonlocal equation, analogous to the Kuramoto-Sivashinsky equation, in which shor...
AbstractWe study the analyticity properties of solutions of Kuramoto–Sivashinsky type equations and ...
In this article, we consider a non-local variant of the Kuramoto-Sivashinsky equation in three dimen...
The Kuramoto–Sivashinsky equation is a prototypical chaotic nonlinear partial differential equatio...
SIGLECNRS RP 148 (644) / INIST-CNRS - Institut de l'Information Scientifique et TechniqueFRFranc
In this paper we study a nonlocal approximation class for a classical nonlocal evolution equation in...
this paper, we prove new bounds on the Kuramoto-Sivashinsky equation (KS) by extending the ingenious...
In this paper the existence of a global attracting set for the weakly unstable Kuramoto-Sivashinskye...
The Kuramoto–Sivashinsky equation in one spatial dimension (1D KSE) is one of the most well-known an...
We consider the initial value problem for the semilinear plate equation with nonlocal nonlinearity. ...
In this paper, firstly, some priori estimates are obtained for the existence and uniqueness of solu-...
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