Results 1 to 10 of about 1,859,718 (319)
The Exponential Attractors for the g-Navier-Stokes Equations [PDF]
Journal of Function Spaces and Applications, 2012 We consider the exponential attractors for the two-dimensional g-Navier-Stokes equations in bounded domain Ω. We establish the existence of the exponential attractor in L2(Ω).
Delin Wu, Jicheng Tao
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Exponential Attractors for Parabolic Equations with Dynamic Boundary Conditions [PDF]
Journal of Applied Mathematics, 2013 We study exponential attractors for semilinear parabolic equations with dynamic boundary conditions in bounded domains. First, we give the existence of the exponential attractor in by proving that the corresponding semigroup satisfies the enhanced ...
Zhao-hui Fan
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Robust exponential attractors for a parabolic–hyperbolic phase-field system
Boundary Value Problems, 2018 In this paper, we construct a robust family of exponential attractors for a parabolic–hyperbolic phase-field system (PHPFS), which describes phase separation in material sciences, e.g., melting and solidification.
Cyril D. Enyi
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Exponential attractors for a nonclassical diffusion equation
Electronic Journal of Differential Equations, 2009 In this article, we prove the existence of exponential attractors for a nonclassical diffusion equation in ${H^{2}(Omega)}cap{H}^{1}_{0}(Omega)$ when the space dimension is less than 4.
Qiaozhen Ma, Yong-Feng Liu
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A panoramic view of exponential attractors [PDF]
Journal of Differential EquationsWe state necessary and sufficient conditions for the existence of $T$-discrete exponential attractors for semigroups in complete metric spaces. These conditions are formulated in terms of a covering condition for iterates of the absorbing set under the ...
R. Czaja, S. Sonner
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Pullback exponential attractors
Discrete and Continuous Dynamical Systems, 2010 In this work, we show how to construct a pullback exponential attractor associated with an infinite dimensional dynamical system, i.e., a family of time dependent compact sets, with finite fractal dimension, which are positively invariant and exponentially attract in the pullback sense every bounded set of the phase space.
José A Langa, José Real
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Global and exponential attractors for the 3D Kelvin-Voigt-Brinkman-Forchheimer equations
Discrete and Continuous Dynamical Systems - Series B, 2020 The dynamics of three dimensional Kelvin-Voigt-Brinkman- Forchheimer equations in bounded domains is considered in this work. The existence and uniqueness of strong solution to the system is obtained by exploiting the \begin{document}$ m $\end{document} -
Manil T Mohan
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Exponential Stability and Global Attractors for a Thermoelastic Bresse System
Advances in Difference Equations, 2010 We consider the stability properties for thermoelastic Bresse system which describes the motion of a linear planar shearable thermoelastic beam. The system consists of three wave equations and two heat equations coupled in certain pattern.
Ma Zhiyong
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Nonlinear optical dynamics and complex wave structures in nonlinear dispersive media [PDF]
Scientific ReportsThe research focuses on optical solitons and employs the generalized auxiliary equation technique to obtain soliton resolutions for the nonlinear Kairat-X equation.
Samina Samina +4 more
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