0000000000273970

AUTHOR

ÁNgel Giménez

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ATTRACTORS FOR A LATTICE DYNAMICAL SYSTEM GENERATED BY NON-NEWTONIAN FLUIDS MODELING SUSPENSIONS

2010

In this paper we consider a lattice dynamical system generated by a parabolic equation modeling suspension flows. We prove the existence of a global compact connected attractor for this system and the upper semicontinuity of this attractor with respect to finite-dimensional approximations. Also, we obtain a sequence of approximating discrete dynamical systems by the implementation of the implicit Euler method, proving the existence and the upper semicontinuous convergence of their global attractors.

Dynamical systems theoryApplied MathematicsModeling and SimulationLattice (order)AttractorMathematical analysisLimit setRandom dynamical systemEngineering (miscellaneous)Backward Euler methodNon-Newtonian fluidMathematicsLinear dynamical systemInternational Journal of Bifurcation and Chaos
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