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arXiv · 1910.07170

Global Existence of Strong Solutions to the Kinetic Cucker--Smale Model Coupled with the Stokes Equations

Chunyin Jin
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Abstract

In this paper, we investigate existence of global-in-time strong solutions to the kinetic Cucker--Smale model coupled with the Stokes equations in the whole space. By introducing a weighted Sobolev space and using space-time estimates for the linear non-stationary Stokes equations, we present a complete analysis on existence of global-in-time strong solutions to the coupled model, without any smallness requirements on initial data.

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Chunyin Jin. 2019-10-16. Global Existence of Strong Solutions to the Kinetic Cucker--Smale Model Coupled with the Stokes Equations. https://doi.org/10.1063/5.0031258

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