8 citations · 35 across the 12 of their papers we have counts for
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math.AP2021★ 4 cited
A Helmholtz-type decomposition for the space of symmetric matrices
Evan Miller, Eric Sawyer
In this paper, we introduce a Helmholtz-type decomposition for the space of square integrable, symmetric-matrix-valued functions analogous to the standard Helmholtz decomposition f…
math.AP2021★ 1 cited
A survey of geometric constraints on the blowup of solutions of the Navier--Stokes equation
Evan Miller
In this survey article, we will discuss some regularity criteria for the Navier--Stokes equation that provide geometric constraints on any possible finite-time blowup. We will also…
math.AP2021
Finite-time blowup for smooth solutions of the Navier--Stokes equations on the whole space with linear growth at infinity
Evan Miller
In this paper we consider smooth solutions of the Navier--Stokes equations with a linear dependence on the spatial variable. We reduce the evolution of these solutions to a matrix…