Well-posedness for the FENE dumbbell model of polymetric flows in Besov spaces

Wei Luo; Zhaoyang Yin

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arXiv · 1406.3691

Well-posedness for the FENE dumbbell model of polymetric flows in Besov spaces

Wei Luo·Zhaoyang Yin

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Abstract

In this paper we mainly investigate the Cauchy problem of the finite extensible nonlinear elastic (FENE) dumbbell model with dimension $d\geq2$. We first proved the local well-posedness for the FENE model in Besov spaces by using the Littlewood-Paley theory. Then by an accurate estimate we get a blow-up criterion. Moreover, if the initial data is perturbation around equilibrium, we obtain a global existence result. Our obtained results generalize recent results in [8].

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Wei Luo, Zhaoyang Yin. 2014-06-14. Well-posedness for the FENE dumbbell model of polymetric flows in Besov spaces. https://arxiv.org/abs/1406.3691

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