Global Solutions and Asymptotic Study to a 3D-Lagrangian Boussinesq System
Journal of MathematicsWe prove that the Lagrangian-averaged 3D periodic Boussinesq system has a global in time weak solution that depends continuously on time. Also, we establish that a unique strong global in time solution exists.
Ridha Selmi, Faizah Dhami Alanazi
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Dynamics of a damped quintic wave equation with time-dependent coefficients
AIMS MathematicsWe present a comprehensive investigation of the long-term dynamics generated by a semilinear wave equation with time-dependent coefficients and quintic nonlinearity on a bounded domain subject to Dirichlet boundary conditions.
Feng Zhou +3 more
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Global attractors for a class of degenerate diffusion equations
Electronic Journal of Differential Equations, 2003 In this paper we give two existence results for a class of degenerate diffusion equations with p-Laplacian. One is on a unique global strong solution, and the other is on a global attractor.
Shingo Takeuchi, Tomomi Yokota
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Global attractor and finite dimensionality for a class of dissipative equations of BBM's type
Electronic Journal of Differential Equations, 1998 In this work we study the Cauchy problem for a class of nonlinear dissipative equations of Benjamin-Bona-Mahony's type. We discuss the existence of a global attractor and estimate its Hausdorff and fractal dimensions.
M.A. Astaburuaga +3 more
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Asymptotic behavior for second order lattice dynamical systems
Discrete Dynamics in Nature and Society, 2001 We consider the existence of the global attractor for a second order lattice dynamical systems.
Shengfan Zhou
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Design of Sturm global attractors 1: Meanders with three noses, and reversibility [PDF]
, 2023 Bernold Fiedler, Carlos Rocha
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On the separation property and the global attractor for the nonlocal Cahn-Hilliard equation in three dimensions [PDF]
, 2023 Andrea Giorgini
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The Existence of a Global Attractor for the S-K-T Competition Model with Self-Diffusion
Abstract and Applied Analysis, 2014 This paper concerns the uniform bounds of the global existence of solutions in time for the S-K-T competition model with self-diffusion.
Qian Xu, Ye Zhao
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Viral Infection Model with Diffusion and Distributed Delay: Finite-Dimensional Global Attractor. [PDF]
Qual Theory Dyn Syst, 2023 Rezounenko A.
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Regular Attractor by Strict Lyapunov Function for Random Dynamical Systems
Wasit Journal for Pure SciencesThe main objective of this paper is to study some types of random attractors in random dynamical systems based on the random strict Lyapunov function.
Hind Adnan Hashim
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