### Published/Accepted papers

- Approximate Solutions to
Second Order Parabolic Equations: Approximate solutions to second-order parabolic equations: evolution systems and discretization,
with W. Cheng, V. Nistor. IMA
Preprint 2372 (earlier version). DCDS-S
**15**(2022), 12:3571-3602. - Dislocations in a layered medium with applications to fault detection, with A. Aspri, E. Beretta. Preprint arXiv:2004.00321. To appear in Journal of the European Mathematical Society.
- Growth of Sobolev norms and loss of regularity in transport equations, with G. Crippa, T. elgindi, and G. Iyer. Preprint arxiv:2109.14975. Phylosophical Transactions of the Royal Society A (2022),
**380**:20210024. - Transmission Problems for Parabolic Operators on Polygonal Domains and Applications to the Finite Element Method, with Y. Zhang. La Matematica
**1**(2022), 225-262. - Remarks on anomalous dissipation for passive scalars, Phylosophical Transactions of the Royal Society A (2022),
**380**:20210099. - Global existence for the two-dimensional Kuramoto-Sivashinsky equation with a shear flow, with M. Coti-Zelati, M. Dolce, and Y. Feng. Preprint arXiv:2103.02971. Journal of Evolution Equations
**21**(2021), 5079-5099. - Global solutions of the two-dimensional Kuramoto-Sivashinsky equation with a linearly growing mode in each direction, with D. Ambrose. Preprint arXiv:2102.05093. Journal of Nonlinear Science,
**31**(2021), article 96. - Global existence for the two-dimensional Kuramoto-Sivashinsky equation with advection, with Y. Feng.
Preprint arXiv:2009.04029. Communications
in Partial Differential Equations
**47**(2021), n. 2, 1-28. - Detection of dislocations in a 2D anisotropic elastic medium, with A. Aspri, E. Beretta, M. V. de Hoop. Rendiconti di Matematica e delle Sue Applicazioni
**42**(2021), n. 7, 183-195. - Analysis of a model of elastic
dislocations in geophysics, A. Aspri, E. Beretta, and M. V. de Hoop. Preprint arXiv:1809.08313. Archive for Rational Mechanics and Analysis,
**236**(2020), n.1, 71-111. - Embeddings for the space
*LD*on sets of finite perimeter, with N. Chemetov. Preprint arXiv:1808.00611. Proceedings A of the Royal Society of Edinburgh,^{p}_{γ}**150**(2020), n. 5, 2442-2461. - The vanishing viscosity
limit for some symmetric flows,
with G.-M. Gie, J. Kelliker, M. Lopes, J. Nussenzveig Lopes.
Annales de l' Institut Henri Poincaré,
**36**(2019), n. 5, 1237-1280. - Global existence and analyticity for the 2D Kuramoto-Sivashinsky equation,
with D. Ambrose.
Journal of Dynamics and Differential Equations,
**31**(2019), n. 3, 1525-1547. - Loss of regularity for the continuity equation with non-Lipschitz velocity field, with G. Alberti and G. Crippa. Annals of PDE
**5**(2019), n. 1, 5:9. - Exponential self-similar mixing by incompressible flows,
with G. Alberti, G. Crippa. Journal of the American Mathematical Society,
**32**(2019), n. 2, 445-490. - Heat Kernels, Solvable Lie Groups, and the Mean Reverting SABR
Stochastic Volatility Model,
with S. Zhang, V. Nistor. North-Western European Mathematical journal,
**4**(2018), 119-155. - Boundary layers for the Navier-Stokes
equations linearized around a stationary Euler flow , with G.-M. Gie and J. P. Kelliher. Journal of Mathematical Fluid Dynamics,
**20**(2018), n. 4, 1405-1426. - The Inviscid Limit and Boundary Layers for Navier-Stokes flows, with Y. Maekawa. Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, edited by Antonin Novotny and Yoshikazu Giga, Springer 2017, pp. 1-48.
- Regularity and a priori error analysis of a Ventcel problem in polyhedral domains, with S. Nicaise and H. Li.
*Mathematical Methods in the Applied Sciences*,**40**(2017), n. 5, 1625--1636. ArXiv Preprint 1606.04423v1. - The vanishing viscosity limit in the presence of
a porous medium, with C. Lacave.
*Mathematische Annalen*,**365**(2016) n. 3, 1527 -- 1557. - Planar limits of
three-dimensional incompressible viscous flows with helical
symmetry, with M. Lopes, D. Niu, J. Nussenzveig Lopes, and E. Titi.
*Journal of Dynamics and Difference Equations***26**(2014), n. 4, 843-869. - Exponential self-similar mixing and
loss of regularity for continuity equations, with G. alberti, G. Crippa.
*C. R. Acad. Sci. Paris, Ser. I*,**352**(2014), 901-906. - Quasi-optimal rates of
convergence for the Generalized Finite
Element Method in polygonal domains,
with V. Nistor, Q. Qu.
*Journal of Computational and Applied Mathematics*,**263**(2014), 466-477. - Sharp trace regularity for an
anisotropic elasticity system, with I. Kukavica and
A. Tuffaha.
*Proceedings of the American Mathematical Society***141**(2013), 2673-2682. - A non-conforming Generalized Finite
Element Method for transmission problems,
with V. Nistor, Q. Qu.
*SIAM Journal on Numerical Analysis***51**(2013), n. 1, 555-576. IMA preprint n. 2352. -
Optimal mixing and optimal stirring for fixed energy, fixed power or
fixed palenstrophy flows.
, with C. Doering, E. Lunasin, Z. Lin, and A. Novikov.
*Journal of Mathematical Physics***53**, 115611, 15 pp. (2012). - A proof of
Einstein's effective
viscosity for a dilute suspension of spheres,
with B. Haines.
*SIAM Journal on Mathematical Analysis***44**(2012), n. 3, 2120-2145. - Ensemble
Dynamics and bred vectors, with N. Balci, G.
Sell, and J. Restrepo.
*Monthly Weather Review***140**(2012), no. 7, 2308-2334. - Boundary Layer for a Class of
Nonlinear Pipe Flow, with D. Han, D. Niu, and X. Wang.
*Journal of Differential Equations***252**(2012), 6387-6413. -
Small-volume asymptotics for anisotropic elastic inclusions , with E. Beretta, E. Bonnetier, and
E. Francini. ArXiv
preprint 1105.4111v1.
*Inverse Problems and Imaging***6**(2012), no. 1, 1-23. - Boundary layer
associated to a class of 3D nonlinear plane parallel
channel flows, with X. Wang and D. Niu.
*Indiana University Mathematics Journal***60**(2011), no. 4, 1113-1136.. - Closed-form asymptotics and numerical
approximations of 1D parabolic equations with applications to
option pricing with W. Cheng, N. Costanzino, J. Liechty, and
V. Nistor.
*SIAM Journal on Financial Mathematics***2**(2011), pp. 901-934. - Vanishing Viscosity Limits for a Class
of Circular Pipe Flows , with M. Taylor.
*Communications in Partial Differential Equations***36**(2011), n. 2,328 - 361. - Approximate
Solutions to Second-order Parabolic Equations I: Analytic Estimates
with R. Costantinescu, N. Costanzino, and V.
Nistor.
*Journal of Mathematical Physics***51**103502 (2010). - Interface and
mixed boundary
value problems on
*n*-dimensional polyhedral domains with C. Bacuta, V. Nistor, L.T. Zikatanov.*Documenta Mathematica***15**(2010), 687-745. -
Analysis of the Finite
Element Method for transmission/mixed boundary value problems on
general polygonal domains, with H. Li, V. Nistor.
*Electronic Transactions on Numerical Analysis*,**37**(2010), 41-69. (Associated software package available here .) - 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**(2010) n. 1, 25-73. - Vanishing viscosity plane
parallel channel flow and related singular perturbation problems, with
M. E. Taylor.
*Analysis and PDE***1**(2008), no 1, 35--93 . - 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. - 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. - On Transversely Isotropic Media with
Ellipsoidal Slowness Surfaces , with L. Rachele.
*Mathematics and Mechanics of Solids***13**(2008), no. 7, 611-638. - 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. - 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.. - 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. -
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. - On the energy spectrum for weak solutions
to the Navier-Stokes equation.
*Nonlinearity***18**(2005), n.1, 1-19. - Decomposition of Besov-Morrey spaces, in
*Harmonic Analysis at Mount Holyoke*. AMS Series in Contemporary Mathematics**320**(2003), 279-294. -
Besov-Morrey Spaces: Function Space Theory and Applications to
Non-Linear PDE.
*Transactions of the American Mathematical Society.***355**(2003), 1297-1364.

### Refereed Proceedings

- Anisotropic
regularity and optimal rates of convergence for the Finite Element
Method on three dimensional polyhedral domains, with C. Bacuta,
and V. Nistor.
*Advances in Mathematics*(Proceedings of The Seventh Congress of Romanian Mathematicians, June 29 - July 5, 2011, Brasov, Rumenia), pp. 57-73, Editura Academiei, Bucharest. - On the zero viscosity limit
in incompressible fluids.
*Physica Scripta***T132**(2008), 0140002 (6 pp). (Proceedings of the 1st International Conference ``Turbulent Mixing and Beyond", ICTP, Trieste, 18-26 August 2007.)

### Volumes edited

- Special Issue: Nonlinear Partial Differential Equations in Mathematical Fluid Dynamics,
*Physica D*,**376/377**(2018), with C. R. Doering, E. Lunasin. - Transport, Mixing and Fluids, with G. Crippa, DeGruyter Open, 2017.

### Submitted papers

- Enhanced dissipation by Circular Symmetric and Parallel Pipe Flows, with Y. Feng and C. Nobili.
- The linearized 3D Euler equations with inflow, outflow, with G.-M. Gie and J. P. Kelliher. Preprint arXiv:2203.14410.

### Preprints

- The 3D Euler equations with inflow, outflow and vorticity boundary conditions, with G.-M. Gie and J. P. Kelliher. Preprint arXiv:2203.15180.

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