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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…
math.AP2023
Convex integration above the Onsager exponent for the forced Euler equations
Aynur Bulut, Manh Khang Huynh, Stan Palasek
We establish new non-uniqueness results for the Euler equations with external force on . By introducing a novel alternating convex integration scheme, we…
math.AP2022
Epochs of regularity for wild Hölder-continuous solutions of the Hypodissipative Navier-Stokes System
Aynur Bulut, Manh Khang Huynh, Stan Palasek
We consider the hypodissipative Navier-Stokes equations on and seek to construct non-unique, Hölder-continuous solutions with epochs of regularity (smoo…