Publications

16- E. Abdo, R. Hu, Q. Lin, On the Three-Dimensional Nernst-Planck-Boussinesq System, submitted (2024) arXiv:2405.02152v1 

15- E. Abdo, F-N. Lee, Logarithmic Sobolev Inequalities for Bounded Domains and Applications to Drift-Diffusion Equations, submitted (2024)  arXiv:2402.18572 

14- E. Abdo, Z. Hu, On the Space-Time Analyticity of the Keller-Segel-Navier-Stokes System, submitted (2024)  arXiv:2402.04564

13- E. Abdo, R. Hu, Q. Lin, Accuracy Analysis of Physics-Informed Neural Networks for Approximating the Critical SQG Equation, preprint (2024)  arXiv:2401.10879 

12- E. Abdo, R. Hu, Q. Lin, On the Long-time Dynamics and Ergodicity of the Stochastic Nernst-Planck-Navier-Stokes System, submitted (2023)  arXiv:2310.20484 [math.AP]

11- E. Abdo, M. Ignatova, Long Time Dynamics of a Fractional Dissipative Model of Electroconvection in Bounded Domains, submitted (2023)  arXiv:2309.17423 [math.AP] 

10- E. Abdo, On the Regularity of Solutions to some Active Scalar Equations on Bounded Domains, submitted (2023).  paper 

9- E. Abdo, W. Wang, On the Space-Time Analyticity of the Inhomogeneous Heat Equation on the Half-Space with Neumann Boundary Conditions, Applicable Analysis (2024). paper  arXiv:2303.04713 [math.AP] 

8- E. Abdo, M. Ignatova, Long Time Dynamics of Nernst-Planck-Navier-Stokes Systems, Journal of Differential Equations 379, 794--828 (2024). paper

7- E. Abdo, F-N. Lee, W. Wang, On the Global Well-Posedness and Analyticity of some Electrodiffusion Models in Ideal Fluids and Porous Media, SIAM Journal on Mathematical Analysis 55 (6) (2023).  paper

6- E. Abdo, N. Glatt-Holtz, M. Ignatova, Unique Ergodicity in Stochastic Electroconvection, to appear in Nonlinear Differential Equations and Applications (2024). paper  arXiv:2210.10600 [math.AP] 

5- E. Abdo, M. Ignatova, Long Time Behavior of Solutions of an Electroconvection Model in R^2, Journal of Evolution Equations 24 (13) (2024). paper

4- E. Abdo, M. Ignatova, On Electroconvection in Porous Media, Indiana University Mathematics Journal 72 (6), 2593-2630 (2023). paper

3- E. Abdo, M. Ignatova, On the Space Analyticity of the Nernst–Planck–Navier–Stokes System, J. Math. Fluid Mech. 24, 51 (2022). paper

2- E. Abdo, M. Ignatova, Long Time Finite Dimensionality in Charged Fluids, Nonlinearity 34, 6173-6209 (2021). paper 

1- E. Abdo, M. Ignatova, Long Time Dynamics of a Model of Electroconvection, Trans. Amer. Math. Soc. 374, 5849–5875 (2021). paper

E. Abdo, On the Nonlinear Interaction of Charged Particles with Fluids, PhD Dissertation (2023). http://dx.doi.org/10.34944/dspace/8837 

E. Abdo, Extension of Biholomorphic Maps from Special Domains into their Boundaries, Master's Thesis (2018). http://hdl.handle.net/10938/21391