Enhanced Dissipation and Blow-Up Suppression in a Chemotaxis-Fluid System
Siming He
Abstract
In this paper, we investigate a coupled Patlak–Keller–Segel–Navier–Stokes (PKS-NS) system. We show that globally regular solutions with arbitrary large cell populations exist. The primary blowup suppression mechanism is the shear flow mixing induced enhanced dissipation phenomena.
Topics & Concepts
DissipationMixing (physics)MathematicsFlow (mathematics)Shear (geology)ChemotaxisMathematical analysisMechanicsClassical mechanicsPhysicsGeometryThermodynamicsMaterials scienceChemistryQuantum mechanicsBiochemistryComposite materialReceptorMathematical Biology Tumor GrowthGene Regulatory Network AnalysisMathematical and Theoretical Epidemiology and Ecology Models