Non-uniqueness of weak solutions to hyperviscous navier-stokes equations: on sharpness of j.-l. lions exponent

HIGHLIGHTS

• who: Tianwen Luo from the Yau Mathematical Sciences Center, Tsinghua University, Beijing, China have published the article: Non-uniqueness of weak solutions to hyperviscous Navier-Stokes equations: on sharpness of J.-L. Lions exponent, in the Journal: (JOURNAL)
• what: Now the authors show the existence of infinitely many weak solutions with initial values zero.

SUMMARY

Lions first considered FVNSE, and showed the existence and uniqueness of weak solutions to the initial value problem, which also satisfied the energy equality, for θ ∈ [5/4, ∞). Very recently, using the method of convex integration introduced . . .

 



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