Wei Luo, Zhaoyang Yin
Published 2014-06-14Version 1
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].
The Cauchy problem of a periodic 2-component μ-Hunter-Saxton system in Besov spaces
The Liouville theorem and the $L^2$ decay of the FENE dumbbell model of polymeric flows
Boundedness of pseudo-differential operators of type (0,0) on Triebel-Lizorkin and Besov spaces
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