Paul-Ehrlich-Straße
Building: 31
Room: 252
Floor: 2
67663 Kaiserslautern
P.O. Box: 3049
67653 Kaiserslautern
Tel.: +49 631 2055302
E-Mail: hussein@mathematik.uni-kl.de
Teaching
| Winter term 2024/25 | Introduction to the Theory of Sobolev Spaces | |||
| Summer term 2024 | Functional Analysis Seminar: Analysis and Partial Differential Equations | |||
| Winter term 2023/24 | Introduction to the Theory of Sobolev Spaces Anmeldung im OLAT: | |||
| Winter term 2023/24 | Internet Seminar: Harmonic Analysis for Elliptic Operators Anmeldung im OLAT: | |||
| Winter term 2022/23 | Internet Seminar: Graphs and Discrete Dirichlet Spaces | |||
| Summer term 2022 | Higher Mathematics I/II | |||
Seminar: Analysis and Partial Differential Equations Registration: | ||||
| Winter term2021/22 | Sobolev Spaces | |||
| Internetseminar: Spectral Theory for Operators in Banach Spaces and Applications to One-Parameter Semigroups of Bounded Operators | ||||
| Summer term 2021 | Operator Semigroups and Applications to PDE | |||
| Seminar Analysis and Partial Differential Equations | ||||
| Reading Course Analysis and Partial Differential Equations | ||||
| Winter term2020/21 | Probability Theory | |||
| Internetseminar C*-algebras and dynamics ISEM24 | ||||
| Registration:https://olat.vcrp.de/auth/RepositoryEntry/2742648874 | ||||
| Summer term 2020 | Functional Analysis | |||
| Seminar Analysis and Partial Differential Equations | ||||
| Winter term 2019/20 | Introduction to Functional Analysis | |||
Summer term 2018 |
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Curriculum Vitae
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Research Interests
- Mathematical fluid mechanics: geophysical flows, liquid crystals, complex fluids
- Semi- and quasi-linear evolution equations, semigroup and form methods, maximal Lp-regularity
- Operator and spectral theory, non-self-adjoint operators, differential operators on graphs and manifolds, perturbation and scattering theory
- block operator matrices and parabolic systems
If you are interested in writing a bachelor or master thesis, you are very welcome to contact me!
Publications
Three representative publications
- Gries, M., Giga, Y., Hieber, M., Hussein, A., & Kashiwabara, T. (2020): The Hydrostatic Stokes Semigroup and Well-Posedness of the Primitive Equations on Spaces of Bounded Functions. Journal of Functional Analysis, 279(3): 108561. doi:10.1016/j.jfa.2020.108561
- Choudhury, A. P., Hussein, A., & Tolksdorf, P. (2018): Nematic Liquid Crystals in Lipschitz domains. SIAM Journal on Mathematical Analysis, 50(4):4282-4310. doi:10.1137/17M1160975
- Hussein, A., Krejcirk, D., & Siegl, P. (2015): Non-self-adjoint graphs. Transactions of the American Mathematical Society, 367(4): 2921-2957. doi:10.1090/S0002-9947-2014-06432-5
A complete list of publications can be found here