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- Publications
- Influence

Besov-Morrey spaces: Function space theory and applications to non-linear PDE

- A. Mazzucato
- Mathematics
- 2003

This paper is devoted to the analysis of function spaces modeled on Besov spaces and their applications to non-linear partial differential equations, with emphasis on the incompressible, isotropic… Expand

Decomposition of Besov-Morrey Spaces

- A. Mazzucato, A. Mazzucato
- 2005

We establish a decomposition of Besov-Morrey spaces in terms of smooth “wavelets” obtained from a Littlewood-Paley partition of unity, or more generally molecules concentrated on dyadic cubes. We… Expand

Interface and mixed boundary value problems on n-dimensional polyhedral domains

- B. Constantin, A. Mazzucato, V. Nistor, L. Zikatanov
- Mathematics
- 2010

Let � 2 Z+ be arbitrary. We prove a well-posedness result for mixed boundary value/interface problems of second-order, positive, strongly elliptic operators in weighted Sobolev spaces K �() on a… Expand

- 51
- 6

Exponential self-similar mixing and loss of regularity for continuity equations

- G. Alberti, G. Crippa, A. Mazzucato
- Mathematics
- 9 July 2014

We consider the mixing behaviour of the solutions of the continuity equation associated with a divergence-free velocity field. In this announcement we sketch two explicit examples of exponential… Expand

Optimal mixing and optimal stirring for fixed energy, fixed power, or fixed palenstrophy flows

- E. Lunasin, Z. Lin, A. Novikov, A. Mazzucato, C. Doering
- Mathematics
- 5 October 2012

We 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… Expand

ANALYSIS OF THE FINITE ELEMENT METHOD FOR TRANSMISSION/MIXED BOUNDARY VALUE PROBLEMS ON GENERAL POLYGONAL DOMAINS ∗

- Hengguang Li, A. Mazzucato, V. Nistor
- Mathematics
- 2010

We study theoretical and practical issues arising in the impl ementation of the Finite Element Method for a strongly elliptic second order equation with jump discontinuities in its coefficients on a… Expand

- 59
- 3

Well-posedness and Regularity for the Elasticity Equation with Mixed Boundary Conditions on Polyhedral Domains and Domains with Cracks

- A. Mazzucato, V. Nistor
- Mathematics
- 2010

We prove a regularity result for the anisotropic linear elasticity equation$${P u := {\rm div} \left( \boldmath\mathsf{C} \cdot \nabla u\right) = f}$$ , with mixed (displacement and traction)… Expand

Vanishing viscosity limits and boundary layers for circularly symmetric 2D flows

- M. C. Lopes Filho, A. Mazzucato, H. J. Nussenzveig Lopes, M. Taylor
- Mathematics
- 13 September 2007

We continue the work of Lopes Filho, Mazzucato and Nussenzveig Lopes [10] on the vanishing viscosity limit of circularly symmetric viscous flow in a disk with rotating boundary, shown there to… Expand

Exponential self-similar mixing by incompressible flows

- G. Alberti, G. Crippa, A. Mazzucato
- Mathematics
- 6 May 2016

We study the problem of the optimal mixing of a passive scalar under the action of an incompressible flow in two space dimensions. The scalar solves the continuity equation with a divergence-free… Expand

Partial Uniqueness and Obstruction to Uniqueness in Inverse Problems for Anisotropic Elastic Media

- A. Mazzucato, Lizabeth V. Rachele
- Mathematics
- 28 April 2006

We consider the inverse problem of identifying the density and elastic moduli for three-dimensional anisotropic elastic bodies, given displacement and traction measurements made at their surface.… Expand