6533b7d6fe1ef96bd1265a53

RESEARCH PRODUCT

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

José ValeroJosé M. AmigóFrancisco MorillasÁNgel Giménez

subject

Dynamical systems theoryApplied MathematicsModeling and SimulationLattice (order)AttractorMathematical analysisLimit setRandom dynamical systemEngineering (miscellaneous)Backward Euler methodNon-Newtonian fluidMathematicsLinear dynamical system

description

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.

yearjournalcountryeditionlanguage
2010-09-01International Journal of Bifurcation and Chaos
https://doi.org/10.1142/s0218127410027295