PSU Mark
Eberly College of Science Mathematics Department

Anna Mazzucato - Publications

Published/Accepted papers

  1. Analysis of the Finite Element Method for transmission/mixed boundary value problems on general polygonal domains, to appear in Electronic Transactions on numerical Analysis, with H. Li, V. Nistor.
  2. Well-posedness and regularity for the elasticity equation with mixed boundary conditions on polyhedral domains and domains with cracks, with V. Nistor. Archive for Rational Mechanics and Analysis, 195 (2009) n. 1, 25-73.
  3. On the zero viscosity limit in incompressible fluids. Physica Scripta T132 (2008), 0140002 (6 pp).
  4. Vanishing viscosity plane parallel channel flow and related singular perturbation problems, with M. E. Taylor. Analysis and PDE 1 (2008), no 1, 35--93 .
  5. Vanishing viscosity limits and boundary layers for circularly symmetric 2D flows with M. Lopes, H. Nussenzveig Lopes, M. E. Taylor. Bulletin of the Brazilian Mathematical Society. New Series, 39 (2008), n. 4, 471-513.
  6. Vanishing viscosity limit for incompressible flow inside a rotating circle, with M. Lopes, H. Nussenzveig Lopes. Physica D 237 (2008), no. 10-12, 1324-1333.
  7. On Transversely Isotropic Media with Ellipsoidal Slowness Surfaces , with L. Rachele. Mathematics and Mechanics of Solids 13 (2008), no. 7, 611-638.
  8. On Uniqueness in the Inverse Problem for Transversely Isotropic Elastic Media with a Disjoint Wave Mode, with L. Rachele. Wave Motion 44 (2007), 605-625.
  9. Mapping properties of heat kernels, maximal regularity, and semi-linear parabolic equations on noncompact manifolds, with V. Nistor. Journal of Hyperbolic Differential Equations 3 (2006), n. 4, 599-629..
  10. Partial Uniqueness and Obstruction to Uniqueness in Inverse Problems for Anisotropic Elastic Media, with L. Rachele. Journal of Elasticity 83 (2006), n. 3, 205-245.
  11. Weak solutions, renormalized solutions, and enstrophy defects in 2D turbulence, with M. Lopes and H. Nussenzveig Lopes. Archive for Rational Mechanics and Analysis 179 (2006), n.3, 353-387.
  12. On the energy spectrum for weak solutions to the Navier-Stokes equation. Nonlinearity 18 (2005), n.1, 1-19.
  13. Decomposition of Besov-Morrey spaces, in Harmonic Analysis at Mount Holyoke. AMS Series in Contemporary Mathematics 320 (2003), 279-294.
  14. Besov-Morrey Spaces: Function Space Theory and Applications to Non-Linear PDE. Transactions of the American Mathematical Society. 355 (2003), 1297-1364.

Submitted papers

  1. Interface and mixed boundary value problems on n-dimensional polyhedral domains with C. Bacuta, V. Nistor, L.T. Zikatanov.
  2. Approximate Solutions to Second Order Parabolic Equations I: analytical estimates , with R. Costantinescu, N. Costanzino, and V. Nistor. Arxiv preprint 0910.1562v2.

Preprints/ In preparation

  1. Closed-form asymptotics for local volatility models , with W. Cheng, N. Costantino, J. Leichty, and V. Nistor. Arxiv preprint 0910.2309v1, SSRN preprint.
  2. Approximate Solutions to Second Order Parabolic Equations II: time-dependent coefficients, with W. Cheng, V. Nistor. Preliminary version.
  3. Vanishing Viscosity Limits for a Class of Circular Pipe Flows And Related Singular Perturbation Problems , with M. Taylor. In preparation.
  4. Closed-form asymptotic formulas for stochastic volatility models with applications to SABR and Heston, with W. Cheng, R. Costantinescu, N. Costanzino, and V. Nistor. In final preparation.
  5. Generalized Leray backwards self-similar solutions of the Navier-Stokes equations, with X. He. In preparation.
  6. GFEM for transmission problems, with V. Nistor, Q. Qu. In preparation.


© Anna Mazzucato
Last modified: Thu Nov 12 15:57:30 EST 2009