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Stabilizing the long-time behavior of the Navier–Stokes–Voigt equations by fast oscillating-in-time forces

Volume 65 / 2017

Cung The Anh, Vu Manh Toi Bulletin Polish Acad. Sci. Math. 65 (2017), 177-185 MSC: 76A10, 93D15, 35Q35, 93C20. DOI: 10.4064/ba8094-9-2017 Published online: 23 October 2017


We show that under the action of fast oscillating-in-time external forces, there exists a unique time periodic solution, and any weak solution to the Navier–Stokes–Voigt equations converges to this time periodic flow with exponential speed in time.


  • Cung The AnhDepartment of Mathematics
    Hanoi National University of Education
    136 Xuan Thuy, Cau Giay
    Hanoi, Vietnam
  • Vu Manh ToiFaculty of Computer Science and Engineering
    Thuyloi University
    175 Tay Son, Dong Da
    Hanoi, Vietnam

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