Stability of Navier-Stokes-Oseen flows

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Abstract

This paper studies the stability of a weak mild solution of the Navier–Stokes–Oseen equations in the solenoidal Lorentz space L³ σ,w. Our approach relies on dual space pair and suitable estimates in our setting for the Oseen semigroup. Therefore, we get a new result for the stability of a weak mild solution following the initial datum and external force.

Keywords

stability / Navier–Stokes–Oseen equations / Oseen operator / rotating and translating obstacle / solenoidal Lorentz spaces

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