Results 61 to 70 of about 309 (70)

The Selgrade decomposition for linear semiflows on Banach spaces [PDF]

open access: yesarXiv, 2017
We extend Selgrade's Theorem, Morse spectrum, and related concepts to the setting of linear skew product semiflows on a separable Banach bundle. We recover a characterization, well-known in the finite-dimensional setting, of exponentially separated subbundles as attractor-repeller pairs for the associated semiflow on the projective bundle.
arxiv  

A unique continuation result for the plate equation and an application [PDF]

open access: yesarXiv, 2014
In this paper, we prove the unique continuation property for the weak solution of the plate equation with non-smooth coefficients. Then, we apply this result to study the global attractor for the semilinear plate equation with a localized damping.
arxiv  

Fractal Dimension of Random Attractors for Non-autonomous Fractional Stochastic Reaction-diffusion Equations

Journal of Partial Differential Equations, 2020
This paper deals with non-autonomous fractional stochastic reaction-diffusion equations driven by multiplicative noise with s∈ (0,1). We first present some conditions for estimating the boundedness of fractal dimension of a random invariant set.
J. Shu
semanticscholar   +1 more source

Approximation of Smooth Stable Invariant Manifolds for Stochastic Partial Differential Equations

Journal of Partial Differential Equations, 2019
Invariant manifolds are complicate random sets useful for describing and understanding the qualitative behavior of nonlinear dynamical systems. The purpose of the present paper is try to approximate smooth stable invariant manifolds for a type of ...
Zhongkai Guo sci
semanticscholar   +1 more source

Attractors for a Caginalp Phase-field Model with Singular Potential

Journal of Mathematical Study, 2018
We consider a phase field model based on a generalization of the Maxwell Cattaneo heat conduction law, with a logarithmic nonlinearity, associated with Neumann boundary conditions.
Alain Miranville and Charbel Wehbe
semanticscholar   +1 more source

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