3 citations · 3 across the 3 of their papers we have counts for
4 papers
Global well-posedness for supercritical SQG with perturbations of radially symmetric data
Aynur Bulut, Hongjie Dong
We study the global well-posedness of the supercritical dissipative surface quasi-geostrophic (SQG) equation, a key model in geophysical fluid dynamics. While local well-posedness…
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…
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…
Non-existence of splash singularities for the two-fluid Euler--Navier-Stokes system
Aynur Bulut
We consider a system of two incompressible fluids separated by a free interface. The first fluid is inviscid, governed by the Euler system, while the second fluid has positive visc…