Results 21 to 30 of about 5,198,351 (376)
Sharp estimates for the global attractor of scalar reaction-diffusion equations with a Wentzell boundary condition [PDF]
, 2011 In this paper, we derive optimal upper and lower bounds on the dimension of the attractor AW for scalar reaction-diffusion equations with a Wentzell (dynamic) boundary condition.
Gal, Ciprian G.
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Climate Dynamics, 2018 Quantifying the predictability limits of chaotic systems and their forecast models is an important issue with both theoretical and practical significance.
Jianping Li, Jie Feng, R. Ding
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Global Attractor for Second-Order Nonlinear Evolution Differential Inclusions
Complexity, 2021 In this paper, we address the model of global attractor formulated in the form of evolution differential inclusions with second order in Banach spaces. Firstly, based on the fixed point theorem, the existence result of mild solutions is deduced. Then, by
Guangwang Su, Funing Lin
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Global attractor and Lyapunov function for one-dimensional Deneubourg chemotaxis system
Hiroshima Mathematical Journal, 2019 A bstract . We study the global-in-time existence and the asymptotic behavior of solutions to a one-dimensional chemotaxis system presented by Deneubourg (Insectes Sociaux 24 (1977)).
Kanako Noda, Koichi Osaki
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AIMS Mathematics, 2023 Our aim in this paper is to study generalizations of the Caginalp phase-field system based on a thermomechanical theory involving two temperatures and a nonlinear coupling. In particular, we prove well-posedness results. More precisely, the existence and
Grace Noveli Belvy Louvila +3 more
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, 2020 The second chapter of this book is dedicated to the study of different kinds of dissipativity for dynamical systems (both autonomous and nonautonomous): point, compact, local, bounded, and weak. Criteria for point, compact, and local dissipativity are given.
Ceban, D.N., Cheban, D.N.
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Global attractor for the Cahn-Hilliard system [PDF]
Bulletin of the Australian Mathematical Society, 1994 The Cahn-Hilliard system, a natural extension of the single Cahn-Hilliard equation in the case of multicomponent alloys, will be shown to generate a dissipative semigroup on the phase space ℋ = [H2(Ω)]m. Following Hale's ideas and based on the existence and form of the Lyapunov functional, our main result will be the existence of a global attractor on ...
Cholewa, Jan W., Dlotko, Tomasz
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AIMS Mathematics, 2020 In this article, we are interested in the study of Parabolic system of Cahn-Hilliard with a proliferation term and Dirichet boundary conditions. In particular, we prove the existence and the uniqueness of the solution, the existence of the global ...
Aymard Christbert Nimi, Daniel Moukoko
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Quantum Zakharov Model in a Bounded Domain [PDF]
, 2011 We consider an initial boundary value problem for a quantum version of the Zakharov system arising in plasma physics. We prove the global well-posedness of this problem in some Sobolev type classes and study properties of solutions.
A. Babin +23 more
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Global attractor of complex networks of reaction-diffusion systems of Fitzhugh-Nagumo type
, 2018 We focus on the long time behavior of complex networks of reaction-diffusion systems. We prove the existence of the global attractor and the $L^{∞}$-bound for networks of $n$ reaction-diffusion systems that belong to a class that generalizes the FitzHugh-
B. Ambrosio, M. Aziz-Alaoui, V. Phan
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