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arXiv · 1410.7486

Global solution to the incompressible Oldroyd-B model in hybrid Besov spaces

Ruizhao Zi
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Abstract

This paper is dedicated to the Cauchy problem of the incompressible Oldroyd-B model with general coupling constant $\om\in (0,1)$. It is shown that this set of equations admits a unique global solution in a certain hybrid Besov spaces for small initial data in $\dot{H}^s\cap\dot{B}^{\fr{d}{2}}_{2,1}$ with $-\fr{d}{2} \fr{d}{2}$, this result extends the work by Chen and Miao [Nonlinear Anal.,{68}(2008), 1928--1939].

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Ruizhao Zi. 2014-10-28. Global solution to the incompressible Oldroyd-B model in hybrid Besov spaces. https://arxiv.org/abs/1410.7486

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