arXiv subjects
Publications and source records attributed to Andrew Tapay.
We introduce a model for the two-dimensional Euler equations which is designed to study whether or not double exponential growth can be achieved at an interior point of the flow.
We produce a new proof of Tao's result on the slightly supercritical Navier Stokes equations. Our proof has the advantage that it works in the plane while Tao's proof works only in dimensions three and higher. We accomplish this by studying the problem as a system of differential inequalities on the $L^2$ norms of the Littlewood Paley decomposition, along the lines of Pavlovic's proof of the Beale-Kato-Majda theorem.