Non-uniqueness of weak solutions to hyperviscous Navier–Stokes equations: on sharpness of J.-L. Lions exponent
Published version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Luo, Tianwen
Titi, Edriss S.
Abstract
Abstract: Using the convex integration technique for the three-dimensional Navier–Stokes equations introduced by Buckmaster and Vicol, it is shown the existence of non-unique weak solutions for the 3D Navier–Stokes equations with fractional hyperviscosity (-Δ)θ, whenever the exponent θ is less than Lions’ exponent 5/4, i.e., when θ<5/4.
Description
Keywords
Article, 35Q30
Journal Title
Calculus of Variations and Partial Differential Equations
Conference Name
Journal ISSN
0944-2669
1432-0835
1432-0835
Volume Title
59
Publisher
Springer Berlin Heidelberg
