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Time Global Mild Solutions of Navier-Stokes-Oseen Equations

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Abstract

In this paper we prove the existence and uniqueness of time global mild solutions to the Navier-Stokes-Oseen equations, which describes dynamics of incompressible viscous fluid flows passing a translating and rotating obstacle, in the solenoidal Lorentz space L 3σ, w . Besides, boundedness and polynomial stability of these solutions are also shown.

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Authors and Affiliations

  1. Faculty of Mathematics, Mechanics and Informatics, University of Science, Vietnam National University, Hanoi, 334 Nguyen Trai, Hanoi, Vietnam

    Viet Duoc Trinh

  2. Nghiem Xuan Yem, Thang Long Institute of Mathematics and Applied Sciences, Hanoi, Vietnam

    Viet Duoc Trinh

Authors
  1. Viet Duoc Trinh
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Correspondence to Viet Duoc Trinh.

Additional information

This research is funded by the Vietnam National University, Hanoi (VNU) under project number QG.17.07.

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Trinh, V.D. Time Global Mild Solutions of Navier-Stokes-Oseen Equations. Acta Math Sci 41, 450–460 (2021). https://doi.org/10.1007/s10473-021-0209-y

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  • DOI: https://doi.org/10.1007/s10473-021-0209-y

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