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Upper bounds on the number of determining nodes for 3D Navier–Stokes–Voigt equations

Volume 125 / 2020

Vu Manh Toi, Nguyen Thi Ngan Annales Polonici Mathematici 125 (2020), 83-99 MSC: 35Q35, 35Q30, 35B10. DOI: 10.4064/ap190805-19-3 Published online: 22 June 2020


We consider the 3D Navier–Stokes–Voigt equations with periodic boundary conditions. We give upper bounds on the number of determining nodes for instationary, stationary and periodic solutions to the equations. Here the number of determining nodes is estimated explicitly in terms of flow parameters such as viscosity, smoothing length, forcing and domain size.


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

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