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math.AP2025
Singular, finite-time attractors for odd, smooth solutions of Burgers equation on the torus
Evan Miller
In this paper, we show that the positive multiples of a particular function -- which is singular with a jump discontinuity at the origin -- are finite-time global attractors in…
math.AP2025
Finite-time blowup for the infinite dimensional vorticity equation
Evan Miller
In a previous work with Tai-Peng Tsai, the author studied the dynamics of axisymmetric, swirl-free Euler equation in four and higher dimensions. One conclusion of this analysis is…