Instructor
Department of Mathematics
Princeton University
Mailing Address:
Department of Mathematics
Princeton University
Fine Hall, Washington Road
Princeton, NJ 08544
Office: 
1207 Fine Hall

Phone: 
6505758269

Email: 
ignatova_at_math.princeton.edu

Curriculum Vitae:
CV.pdf 
Research Statement:
RS.pdf 
Publications and Preprints:

Critical SQG in bounded domains,
with P. Constantin, M. Ann. PDE 2 (2016), no. 8.
paper

On the local existence of the freesurface Euler equation with surface tension,
with I. Kukavica, Asymptotic Analysis 100 (2016), no. 12, 6386.
paper

On some electroconvection models,
with P. Constantin, T. Elgindi, and V. Vicol, arXiv:1512.00676 [math.AP], doi:10.1007/s0033201693292, (to appear at JNLS), (2016).
paper

Remarks on the inviscid limit for the NavierStokes equations for
uniformly bounded velocity fields,
with P. Constantin, T. Elgindi, and V. Vicol, SIMA J. Math. Anal. 49 (2017), no. 3, 19321946.
paper

Remarks on the fractional Laplacian with Dirichlet boundary conditions and applications,
with P. Constantin, Int Math Res Notices 2017 (2017), no. 6, 16531673.
paper

Almost global existence for the Prandtl boundary layer equations,
with V. Vicol,
Arch. Rational Mech. Anal. 220 (2016), no. 2, 809848.
paper

Small data global existence for a fluidstructure model,
with I. Kukavica, I. Lasiecka, and A. Tuffaha,
Nonlinearity 30 (2017), 848898.
paper

Global wellposedness results for two extended NavierStokes systems,
with G. Iyer, J. Kelliher, R. Pego, A. Zarnescu,
Commun. Math. Sci. 13 (2015), no. 1, 249267.
paper

On the continuity of solutions to advectiondiffusion equations
with slightly supercritical divergencefree drifts,
Advances in Nonlinear Analysis 3 (2014), no. 2, 8186.

On wellposedness and small data global existence for an interface damped free boundary fluidstructure model,
with I. Kukavica, I. Lasiecka, and A. Tuffaha,
Nonlinearity 27 (2014), no.3, 467–499.
paper

The Harnack inequality for secondorder parabolic equations
with divergencefree drifts of low regularity,
with I. Kukavica, L. Ryzhik,
Comm. PDEs 41 (2016), no. 2, 208–226.
paper

The Harnack inequality for secondorder elliptic equations with divergencefree drifts,
with I. Kukavica, L. Ryzhik,
Commun. Math. Sci. (2014) 12, no. 4, 681694.
paper

On the wellposedness for a free boundary fluidstructure model, with I. Kukavica, I. Lasiecka, and A. Tuffaha,
J. Math. Phys. 53
(2012), no. 11, 115624, 13pp.
paper

Local existence of solutions to the free boundary value problem for the primitive equations of the ocean, with I. Kukavica and M. Ziane,
J. Math. Phys. 53
(2012), no. 10, 103101, 17pp.
paper

Strong unique continuation for the NavierStokes equation with nonanalytic forcing, with I. Kukavica,
J. Dynam. and Differential Equations 25
(2013), no. 1, 115.
paper

Strong unique continuation for higher order elliptic equations with Gevrey coefficients, with I. Kukavica,
J. Differential Equations 252
(2012), no. 4, 29833000.
paper

Unique continuation and complexity of solutions to parabolic partial differential equations with Gevrey coefficients, with I. Kukavica,
Adv. Differential Equations 15 (2010), no. 9, 953975.
paper