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20232026
most citedOn well-posedness for parabolic Cauchy problems of Lions type with rough initial data

2 citations · 4 across the 6 of their papers we have counts for

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math.AP2026

Global existence of smooth solutions to the Navier-Stokes equations for initial data with infinite energy

Alexey Cheskidov, Hedong Hou

We prove the global existence of solutions to the Navier-Stokes equations for any divergence-free distributional initial data. The solutions are smooth in both time and space at po…

math.AP2026

On non-uniqueness of mild solutions and stationary singular solutions to the Navier-Stokes equations

Alexey Cheskidov, Hedong Hou

We prove that the unconditional uniqueness of mild solutions to the Navier-Stokes equations fails in all the Besov spaces with negative regularity index, by constructing non-trivia…