A Navier-Stokes-Voight model with memory

作者:Gal Ciprian G*; Medjo T Tachim
来源:Mathematical Methods in the Applied Sciences, 2013, 36(18): 2507-2523.
DOI:10.1002/mma.2771

摘要

In this article, we consider a three-dimensional Navier-Stokes-Voight model with memory where relaxation effects are described through a distributed delay. We prove the existence of uniform global attractors AE, where E(0,1) is the scaling parameter in the memory kernel. Furthermore, we prove that the model converges to the classical three-dimensional Navier-Stokes-Voight system in an appropriate sense as E0. In particular, we construct a family of exponential attractors (E) that is robust as E0.

  • 出版日期2013-12

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