Exponential attractors for semilinear wave equations with damping
Albert Milani (1992)
Banach Center Publications
Similarity:
Albert Milani (1992)
Banach Center Publications
Similarity:
Dalibor Pražák (2006)
Open Mathematics
Similarity:
We consider a system of ordinary differential equations with infinite delay. We study large time dynamics in the phase space of functions with an exponentially decaying weight. The existence of an exponential attractor is proved under the abstract assumption that the right-hand side is Lipschitz continuous. The dimension of the attractor is explicitly estimated.
Pigong Han, Keke Lei, Chenggang Liu, Xuewen Wang (2023)
Applications of Mathematics
Similarity:
This paper is devoted to the global attractors of the tropical climate model. We first establish the global well-posedness of the system. Then by studying the existence of bounded absorbing sets, the global attractor is constructed. The estimates of the Hausdorff dimension and of the fractal dimension of the global attractor are obtained in the end.
Alain Miranville (2003)
Applications of Mathematics
Similarity:
In this article we introduce the notion of a minimal attractor for families of operators that do not necessarily form semigroups. We then obtain some results on the existence of the minimal attractor. We also consider the nonautonomous case. As an application, we obtain the existence of the minimal attractor for models of Cahn-Hilliard equations in deformable elastic continua.
Ahmad Makki (2016)
Applications of Mathematics
Similarity:
We consider the viscous Allen-Cahn and Cahn-Hilliard models with an additional term called the nonlinear Willmore regularization. First, we are interested in the well-posedness of these two models. Furthermore, we prove that both models possess a global attractor. In addition, as far as the viscous Allen-Cahn equation is concerned, we construct a robust family of exponential attractors, i.e. attractors which are continuous with respect to the perturbation parameter. Finally, we give...
Irving Stringham (1893)
Bulletin of the New York Mathematical Society
Similarity:
M. Stojaković (1972)
Publications de l'Institut Mathématique
Similarity:
Xiaopeng Zhao, Changchun Liu (2010)
Bulletin of the Polish Academy of Sciences. Mathematics
Similarity:
This paper is concerned with the convective Cahn-Hilliard equation. We use a classical theorem on existence of a global attractor to derive that the convective Cahn-Hilliard equation possesses a global attractor on some subset of H².
Garyfalos Papaschinopoulos, John Schinas (1985)
Czechoslovak Mathematical Journal
Similarity:
Fan, Xiaoming (2008)
Journal of Applied Mathematics
Similarity: