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TITLE On the Coupling of Kinetic Thermomechanical Cucker-Smale Equation and Compressible Viscous Fluid System
KIAS AUTHORS Ha, Seung-Yeal
JOURNAL JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2020
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ABSTRACT In this paper, we pressent a global well-posedness of strong solutions and their emergent behaviors for the coupled kinetic-fluid system consisting of kinetic thermomechanical Cucker-Smale equation and compressible isentropic Navier-Stokes system. Particle and fluid systems are coupled via the drag force which is responsible for the asymptotic velocity alignment between kinetic equation and fluid system. For the well-posedness and velocity alignment, we employ an energy method and Lyapunov function method under suitable conditions on initial data and system parameters.
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