Math @ Duke

Publications [#246864] of JianGuo Liu
Papers Published
 Chen, X; Liu, JG, Analysis of Polymeric Flow Models and Related Compactness Theorems in Weighted Spaces,
Siam Journal on Mathematical Analysis, vol. 45 no. 3
(January, 2013),
pp. 11791215, Society for Industrial & Applied Mathematics (SIAM), ISSN 00361410 [doi]
(last updated on 2019/02/16)
Abstract: We studied coupled systems of the FokkerPlanck equation and the NavierStokes equation modeling the Hookean and the finitely extensible nonlinear elastic (FENE)type polymeric flows. We proved the continuous embedding and compact embedding theorems in weighted spaces that naturally arise from related entropy estimates. These embedding estimates are shown to be sharp. For the Hookean polymeric system with a centerofmass diffusion and a superlinear spring potential, we proved the existence of a global weak solution. Moreover, we were able to tackle the FENE model with L2 initial data for the polymer density instead of the L∞ counterpart in the literature. © 2013 Society for Industrial and Applied Mathematics.


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