Hussain Ibdah
Hussain Ibdah
Novikov Postdoctoral Fellow
Office: |
4301 Kirwan Hall |
E-mail: |
hibdah [AT] umd.edu |
Office Hours: |
|
CV: |
CV.pdf |
I obtained my PhD in mathematics from Texas A&M University, College Station, in August 2021 under the supervision of Edriss Titi.
I am currently a Novikov Postdoctoral Fellow at UMD, with my mentors being Eitan Tadmor and Antoine Mellet.
Research Interests
- Linear and nonlinear partial differential equations of parabolic type
- Fluid mechanics, transport-diffusion models
- Nonlocal PDEs
Published/Accepted Work
- H. Ibdah. Lipschitz continuity of solutions to drift-diffusion equations in the presence of nonlocal terms.
J. Math. Fluid Mech, 24(01):Paper No. 19, 35, 2022.
Click here for arXiv version.
- H. Ibdah. Strong solutions to a modified Michelson-Sivashinsky equation. Commun.
Math. Sci., 19(4):1071–1100, 2021.
Click here for arXiv version.
- H. A. Ibdah, C. F. Mondaini, and E. S. Titi. Fully discrete numerical schemes of a data
assimilation algorithm: uniform-in-time error estimates. IMA J. Numer. Anal., 11 2019.
drz043.
Click here for arXiv version.
Pre-prints/In Preparation
- H. Ibdah. Bypassing Holder super-critcality barriers in viscous incompressible fluids, 2023.
arXiv:2305.17882 [math.AP] (submitted)
Invited Talks
- AMS Spring Sectional Meeting, University of Cincinnati, Ohio, April 15, 2023.
- PDE Seminar, Penn State University, State College, PA, April 20, 2022.
- Analysis Seminar (online), Texas Tech University, Texas, January 31, 2022.
- PDE-Applied Math Seminar, University of Maryland, College Park, Maryland, September 9, 2021.
- Analysis of Fluids and Related Topics Seminar (online), Princeton, New Jersey, April 2, 2020.
- Nonlinear PDE Seminar (online), Texas A&M, College Station, September 8, 2020.
- Applied Math Colloquium talk (online), UMBC, Maryland, September 25, 2020.
- SIAM TX-LA Sectional Meeting, Texas A&M, College Station, October 16, 2020.
- JMM (invited special session talk), Washington, DC, January 7, 2021.
Teaching
- Advanced Calculus, Fall 2023
- Calculus for Life Sciences, Spring 2023
- Calculus II and Honors Calculus II, Fall 2022
- Calculus for Life Sciences, Spring 2022
- Honors Calculus II, Fall 2021