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Exponential attractor for an adsorbate-induced phase transition model in non smooth domain
, 2006We improve our preceding result obtained in Tsujikawa and Ya gi [10]. We construct the similar exponential attractors to the same adsor bate-induced phase transition model as in [10] but in a convex domain by using the compac t smoothing property of ...
Y. Takei +3 more
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Exponential attractors for a conserved phase-field system with memory
Physica D: Nonlinear Phenomena, 2004We consider a conserved phase-field system of Caginalp type, characterized by the assumption that both the internal energy and the heat flux depend on the past history of the temperature and its gradient, respectively. The model consists of a parabolic integrodifferential equation, coupled with a fourth-order evolution equation for the phase-field ...
S. GATTI +2 more
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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 ...
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Lower Bound for the Exponential Rate of Convergence to the Attractor
1989Let be \(\bar \sum \) the inertial manifold constructed in Chapter 10. We recall that £ is smooth and that \(\bar \sum \) is parametrized by B n = {u|P n u = u, |u| ≤ R} through the Lipschitz function \(\Phi :{\bar B_n} \to \bar \sum \) of the Lipschitz constant 4/3.
Ciprian Foias +3 more
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Exponential attractor for a planar shear‐thinning flow
Mathematical Methods in the Applied Sciences, 2007AbstractWe study the dynamics of an incompressible, homogeneous fluid of a power‐law type, with the stress tensor T = ν(1 + µ|Dv|)p−2Dv, where Dv is a symmetric velocity gradient. We consider the two‐dimensional problem with periodic boundary conditions and p ∈ (1, 2).
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Hidden oscillation and chaotic sea in a novel 3d chaotic system with exponential function
Nonlinear dynamics, 2023Xiaolin Ye, Xing-yuan Wang
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EXPONENTIAL ATTRACTOR FOR THE GENERALIZED SYMMETRIC REGULARIZED LONG WAVE EQUATION WITH DAMPING TERM
, 2005尚亚东, 郭柏灵
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Graphical Models, Exponential Families, and Variational Inference
Foundations and Trends in Machine Learning, 2007Martin J Wainwright, Michael I Jordan
exaly