Existence and Uniqueness of Global Weak Solution to a Kinetic Model for the Sedimentation of Rod-like Particles †
نویسندگان
چکیده
Abstract. We investigate a kinetic model for the sedimentation of dilute suspensions of rod-like particles under gravity, deduced by Helzel, Otto and Tzavaras (2011), which couples the impressible (Navier-)Stokes equation with the Fokker-Planck equation. With no-flux boundary condition for distribution function, we establish the existence and uniqueness of global weak solution to the two dimensional model involving Stokes equation.
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