Anna L. Mazzucato

TL;DR: In this article, the authors consider the analysis of function spaces modeled on Besov spaces and their applications to non-linear partial differential equations, with emphasis on the incompressible, isotropic Navier-Stokes system and semilinear heat equations.

TL;DR: In this article, a regularity result for the anisotropic linear elasticity equation with mixed displacement and traction boundary conditions on a curved polyhedral domain was established. But the results were not extended to other strongly elliptic systems and higher dimensions.

TL;DR: In this paper, the vanishing viscosity limit of circularly symmetric viscous flow in a disk with rotating boundary was shown to converge to the inviscid limit in L 2 norm as long as the prescribed angular velocity α(t) of the boundary has bounded total variation.

TL;DR: In this paper, the authors consider passive scalar mixing by a prescribed divergence-free velocity vector field in a periodic box and address the following question: Starting from a given initial inhomogeneous distribution of passive tracers, and given a certain energy budget, power budget, or finite palenstrophy budget, what incompressible flow field best mixes the scalar quantity?

TL;DR: In this article, the authors studied the impl ementation of the finite element method for a strongly elliptic second order equation with jump discontinuities in its coefficients on a polygonal domain that may have cracks or vertices that touch the boundary.