On the Local Well-posedness for the Dumbbell Model of Polymetic Fluids

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Abstract

In this paper, we consider the local well-posedness of smooth solutions to a coupled microscopic-macroscopic model for polymeric fluid in general space dimension and with general initial data in Hölder space.

Keywords:

Polymeric fluids;Navier-Stokes equations;Littlewood-Paley decomsposition
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On the Local Well-posedness for the Dumbbell Model of Polymetic Fluids. (2008). Journal of Partial Differential Equations, 21(3), 234-252. https://www.global-sci.com/index.php/jpde/article/view/4121