Liouville-type theorems for stationary Navier–Stokes equations with Lebesgue spaces of variable exponent

  • Diego Chamorro

    Université d’Evry, France
  • Gastón Vergara-Hermosilla

    Université d’Evry, France
Liouville-type theorems for stationary Navier–Stokes equations with Lebesgue spaces of variable exponent cover
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Abstract

In this article we study some Liouville-type theorems for the stationary 3D Navier–Stokes equations. These results are related to the uniqueness of weak solutions for this system under some additional information over the velocity field, which is usually stated in the literature in terms of Lebesgue, Morrey or spaces. Here we will consider Lebesgue spaces of variable exponent which will provide us with some interesting flexibility.

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Diego Chamorro, Gastón Vergara-Hermosilla, Liouville-type theorems for stationary Navier–Stokes equations with Lebesgue spaces of variable exponent. Doc. Math. (2025), published online first

DOI 10.4171/DM/1018