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math.AP2025
Arbitrary norm growth in the 3D Navier-Stokes equations
Stan Palasek
We construct a family of smooth initial data for the Navier-Stokes equations, bounded in , that gives rise to arbitrarily large global solutions. As a conseq…
math.AP2024
Non-uniqueness in the Leray-Hopf class for a dyadic Navier-Stokes model
Stan Palasek
The uniqueness of Leray-Hopf solutions to the incompressible Navier-Stokes equations remains a significant open question in fluid mechanics. This paper proposes a potential mechani…
math.AP2023★ 3 cited
Non-uniqueness up to the Onsager threshold for the forced SQG equation
Aynur Bulut, Manh Khang Huynh, Stan Palasek
We establish new non-uniqueness results for the forced inviscid surface quasi-geostrophic equation, via an alternating formulation of convex integration techniques. Our results imp…