Results 11 to 20 of about 1,344,372 (340)
Exponential attractor for the viscoelastic wave model with time-dependent memory kernels [PDF]
arXiv, 2021 The paper is concerned with the exponential attractors for the viscoelastic wave model in $\Omega\subset \mathbb R^3$: $$u_{tt}-h_t(0)\Delta u-\int_0^\infty\partial_sh_t(s)\Delta u(t-s)\mathrm ds+f(u)=h,$$ with time-dependent memory kernel $h_t(\cdot)$ which is used to model aging phenomena of the material. Conti et al [Amer. J. Math., 2018] recently
Yanan Li, Zhijian Yang
arxiv +2 more sources
EXPONENTIAL ATTRACTOR FOR HINDMARSH-ROSE EQUATIONS IN NEURODYNAMICS [PDF]
Journal of Applied Analysis & Computation, 2019 The existence of an exponential attractor for the diffusive Hindmarsh-Rose equations on a three-dimensional bounded domain originated in the study of neurodynamics is proved through uniform estimates together with a new theorem on the squeezing property ...
Chi Phan, Y. You
semanticscholar +4 more sources
Advances in Difference Equations, 2019 This paper is concerned with the random exponential attractor for second order non-autonomous stochastic lattice system with multiplicative white noise and unbounded nonlinearity.
Haijuan Su, Shengfan Zhou, Luyao Wu
doaj +2 more sources
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
doaj +2 more sources
Rotating Navier-Stokes-$α$ equations: Exponential Attractors in Hilbert and Banach Spaces [PDF]
arXiv, 2020 This article covers the construction of exponential attractors in two different functional space settings; one is in Hilbert's space, and the other is in the Banach space. The former relies on the squeezing properties of solution trajectories, but the latter does not.
Bong-Sik Kim
arxiv +3 more sources
A construction of a robust family of exponential attractors [PDF]
Proceedings of the American Mathematical Society, 2005 Given a dissipative strongly continuous semigroup depending on some parameters, we construct a family of exponential attractors which is robust, in the sense of the symmetric Hausdorff distance, with respect to (even singular) perturbations.
Stefania Gatti +3 more
openalex +6 more sources
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
doaj +4 more sources
Exponential Attractor for the Boussinesq Equation with Strong Damping and Clamped Boundary Condition
Discrete Dynamics in Nature and Society, 2016 The paper studies the existence of exponential attractor for the Boussinesq equation with strong damping and clamped boundary condition utt-Δu+Δ2u-Δut-Δg(u)=f(x). The main result is concerned with nonlinearities g(u) with supercritical growth.
Fan Geng +3 more
doaj +2 more sources
Pullback Exponential Attractor for Second Order Nonautonomous Lattice System
Discrete Dynamics in Nature and Society, 2014 We first present some sufficient conditions for the existence of a pullback exponential attractor for continuous process on the product space of the weighted spaces of infinite sequences.
Shengfan Zhou, Hong Chen, Zhaojuan Wang
doaj +2 more sources
On an exponential attractor for a class of PDEs with degenerate diffusion and chemotaxis [PDF]
Discrete & Continuous Dynamical Systems - A, 2017 In this article we deal with a class of strongly coupled parabolic systems that encompasses two different effects: degenerate diffusion and chemotaxis.
M. Efendiev, A. Zhigun
semanticscholar +7 more sources