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Global Attractors and a Lubrication Problem
2016We start this chapter from necessary background on the theory of fractal dimension. Next, we formulate and study a problem which models the two-dimensional boundary driven shear flow in lubrication theory. After the derivation of the energy dissipation rate estimate and a version of Lieb–Thirring inequality we provide an estimate from above on the ...
Grzegorz Łukaszewicz, Piotr Kalita
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Global attractors for piezoelectric solids
ANNALI DELL UNIVERSITA DI FERRARA, 2004The Galerkin method is applied to study an hyperbolic-elliptic initial-boundary value problem in the theory of piezoelectric solids. We prove that the semigroup generated by the corresponding dynamical system has a global attractor.
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Global Attractors of Nonautonomous Difference Equations
2006The article is devoted to the study of global attractors of quasi-linear non-autonomous difference equations, in particular we give the conditions for the existence of a compact global attractor. The obtained results are applied to the study of a triangular economic growth model recently developed by Brianzoni S., Mammana C. and Michetti E.
D. CHEBAN +2 more
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Global Attractors and Basic Turbulence
1994We consider a dynamical system defined by a nonlinear partial differential equation (PDE) on a Banach space X. If for reasonably smooth initial data there exist unique solutions exhibiting complex nonlocal irregular behaviour, we say that the system is turbulent.
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Attractor-repeller approach for global placement
1999 IEEE/ACM International Conference on Computer-Aided Design. Digest of Technical Papers (Cat. No.99CH37051), 2003Hussein Etawil +2 more
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On the index of the global attractor for a class of -Laplacian equations
Nonlinear Analysis: Theory, Methods & Applications, 2010Chengkui Zhong
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The global attractor for the 2D Navier-Stokes flow on some unbounded domains
Nonlinear Analysis: Theory, Methods & Applications, 1998Ricardo Rosa
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Global attractor of the Kirchhoff wave models with strong nonlinear damping
Applied Mathematics Letters, 2018Zhijian Yang
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