Results 311 to 320 of about 1,323,147 (330)
Some of the next articles are maybe not open access.
Approximation of exponential order of the attractor of a turbulent flow
Physica D: Nonlinear Phenomena, 1994We consider the two-dimensional Navier-Stokes equations with periodic boundary conditions, describing the evolution of homogeneous flows. We construct approximate inertial manifolds (AIMs) whose order decreases exponentially fast with respect to the dimension of the manifold. We recall that an AIM is a smooth manifold of solutions \({\mathcal M}\) such
T. Dubois, Arnaud Debussche
openaire +3 more sources
Exponential attractors and their relevance to fluid dynamics systems
Physica D: Nonlinear Phenomena, 1993This paper investigates the theory of exponential attractors and its significance in infinite dimensional dynamical systems. The authors study a general class of parabolic P.D.E. with emphasis given to the 2D Navier- Stokes equations. Kuramoto-Sivashinsky equation is also studied briefly.
Ciprian Foias +6 more
openaire +2 more sources
Finite‐dimensional attractors and exponential attractors for degenerate doubly nonlinear equations
Mathematical Methods in the Applied Sciences, 2009AbstractWe consider the following doubly nonlinear parabolic equation in a bounded domain Ω⊂ℝ3:where the nonlinearityfis allowed to have a degeneracy with respect to ∂tuof the form ∂tu|∂tu|pat some pointsx∈Ω.Under some natural assumptions on the nonlinearitiesfandg, we prove the existence and uniqueness of a solution of that problem and establish the ...
Efendiev, M, Zelik, S
openaire +3 more sources
Random Exponential Attractor for the 3D Non-autonomous Stochastic Damped Navier–Stokes Equation
Journal of Dynamics and Differential Equations, 2021Zongfei Han, Shengfan Zhou
semanticscholar +1 more source
, 2015
We prove exponential decay of correlations for a class of $${C^{1+\alpha}}$$C1+α uniformly hyperbolic skew product flows, subject to a uniform nonintegrability condition.
V. Araújo, I. Melbourne
semanticscholar +1 more source
We prove exponential decay of correlations for a class of $${C^{1+\alpha}}$$C1+α uniformly hyperbolic skew product flows, subject to a uniform nonintegrability condition.
V. Araújo, I. Melbourne
semanticscholar +1 more source
Exponential attractors for a conserved phase-field system with memory
Physica D: Nonlinear Phenomena, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. GATTI +2 more
openaire +3 more sources
SIAM Journal on Mathematical Analysis, 2003
Summary: We prove that the uniform attractor for the Navier-Stokes equations of compressible flow with quasi-periodic external forces has finite fractal dimension. As a byproduct of our analysis, we also obtain the existence of finite-dimensional exponential attractors for the Navier-Stokes system.
David Hoff, Mohammed Ziane
openaire +3 more sources
Summary: We prove that the uniform attractor for the Navier-Stokes equations of compressible flow with quasi-periodic external forces has finite fractal dimension. As a byproduct of our analysis, we also obtain the existence of finite-dimensional exponential attractors for the Navier-Stokes system.
David Hoff, Mohammed Ziane
openaire +3 more sources
Exponential attractors for a generalized ginzburg-landau equation
Applied Mathematics and Mechanics, 1995Based on the paper [1], we obtain the existence of exponential attractors for a generalized Ginzburg-Landau equation in one ...
openaire +2 more sources
Exponential attractors for a singularly perturbed Cahn‐Hilliard system
Mathematische Nachrichten, 2004AbstractOur aim in this article is to give a construction of exponential attractors that are continuous under perturbations of the underlying semigroup. We note that the continuity is obtained without time shifts as it was the case in previous studies.
Efendiev, M, Miranville, A, Zelik, S
openaire +3 more sources
Exponential attractors for the strongly damped wave equations
Nonlinear Analysis: Real World Applications, 2010Abstract For the strongly damped wave equation with critical nonlinearity, we first show the existence of a ( H 0 1 ( Ω ) × L 2 ( Ω ) , H 0 1 ( Ω ) × H 0 1 ( Ω ) ) -global attractor when the external forcing g ∈ H − 1 ; then we prove that for each T > 0 ...
Meihua Yang, Chunyou Sun
openaire +2 more sources