Assistant Professor
Department of Mathematics
Temple University
Mailing Address:
Department of Mathematics
Temple University
1805 N Broad St
Philadelphia, PA 19122
Office: 
Wachman 532

Email: 
ignatova_at_temple.edu

Curriculum Vitae:
CV.pdf 
Publications and Preprints:

34. Long time dynamics of NernstPlanckNaiverStokes systems, with E. Abdo, submitted (2023).
paper

33. Unique ergodicity in stochastic electroconvection, with E. Abdo and N. GlattHoltz, submitted (2022). arXiv:2210.10600 [math.AP].
paper

32. Long time behavior of solutions of an electroconvection model in R^2, with E. Abdo, submitted (2022). arXiv:2207.06510 [math.AP].
paper

31. Existence and stability of nonequilibrium steady states of NernstPlanckNaiverStokes systems, with P. Constantin and F.N. Lee, Physica D: Nonlinear Phenomena, 422 (2022). arXiv:2205.11553 [math.AP].
paper

30. On Electroconvection in porous media, with E. Abdo, to appear in Indiana Univ. J. (2023).
paper

29. Global smooth solutions of the NernstPlanckDarcy system, with J. Shu, J. Math. Fluid Mech., 24, 1 (2022) pp 21. arXiv:2107.13655 [math.AP].
paper

28. On the space analyticity of the NernstPlanckNavierStokes system, with E. Abdo, J. Math. Fluid Mech. 24, 2 (2022).
paper

27. Global solutions of the NernstPlanckEuler equations, with J. Shu, SIAM J. Math. Anal., 53 (5) (2021), 55075547.
arXiv:2101.03199 [math.AP].
paper

26. Interior Electroneutrality in NernstPlanckNavierStokes Systems, with P. Constantin and F.N. Lee, ARMA, 242 (2021), 10911118. arXiv:2011.15057 [math.AP].
paper

25. Long Time Finite Dimensionality in Charged Fluids, with E. Abdo, Nonlinearity, 34 (9) (2021), 61736209.
paper

24. NernstPlanckNavierStokes systems far from equilibrium, with P. Constantin and F.N. Lee, ARMA, 240 (2021), 11471168. arXiv:2008.10462 [math.AP].
paper

23. NernstPlanckNavierStokes systems near equilibrium, with P. Constantin and F.N. Lee, to appear in PAFA (2021). arXiv:2008.10440 [math.AP].
paper

22. Long time dynamics of a model of electroconvection, with E. Abdo, Transactions of the AMS, 374 (2021), 58495875.
paper

21. Estimates near the boundary for critical SQG, with P. Constantin, Annals of PDE, 6 (1) (2020).
paper

20. Construction of solutions of the critical SQG equation in bounded domains, Advances in Mathematics 351 (2019), 10001023.
paper

19. On the NernstPlanckNavierStokes system,
with P. Constantin, Arch. Rational Mech. Anal. 232 (2019), no. 3, 13791428,
arXiv:1806.11400 [math.AP].
paper

18. Inviscid limit for SQG in bounded domains,
with P. Constantin and H.Q. Nguyen,
SIAM J. Math. Anal. 50 (2018), no. 6, 6196–6207,
arXiv:1806.02393 [math.AP].
paper

17. On some electroconvection models,
with P. Constantin, T. Elgindi, and V. Vicol,
Journal of Nonlinear Science 27 (2017), no. 1, 197211.
arXiv:1512.00676 [math.AP].
paper

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

15. 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

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

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

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

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

10. 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

9. On the continuity of solutions to advectiondiffusion equations
with slightly supercritical divergencefree drifts,
Advances in Nonlinear Analysis 3 (2014), no. 2, 8186.
DOI: https://doi.org/10.1515/anona20130031.

8. 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

7. 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

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

5. 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

4. 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

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

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

1. 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.
https://projecteuclid.org/euclid.ade/1355854617
Office hours: TTh 11am12:00pm, and by appointment.