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math.AP2020
A geometric trapping approach to global regularity for 2D Navier-Stokes on manifolds
Aynur Bulut, Khang Manh Huynh
In this paper, we use frequency decomposition techniques to give a direct proof of global existence and regularity for the Navier-Stokes equations on two-dimensional Riemannian man…
math.AP2020
Blow-up criteria below scaling for defocusing energy-supercritical NLS and quantitative global scattering bounds
Aynur Bulut
We establish quantitative blow-up criteria below the scaling threshold for radially symmetric solutions to the defocusing nonlinear Schrödinger equation with nonlinearity .…