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math.AP2023
Finite-time blowup for the Fourier-restricted Euler and hypodissipative Navier-Stokes model equations
Evan Miller
In this paper, we introduce the Fourier-restricted Euler and hypodissipative Navier--Stokes equations. These equations are analogous to the Euler and hypodissipative Navier--Stokes…
math.AP2023
Growth rates for anti-parallel vortex tube Euler flows in three and higher dimensions
Stephen Gustafson, Evan Miller, Tai-Peng Tsai
We consider axisymmetric, swirl-free solutions of the Euler equations in three and higher dimensions, of generalized anti-parallel-vortex-tube-pair-type: the initial scalar vortici…