Jun.-Prof. Dr. Amru Hussein

Address

Paul-Ehrlich-Straße
Building 31 , Room 252
67663 Kaiserslautern

Contact

Telephone: +49 631 205 5302
E-mail: hussein@mathematik.uni-kl.de

Teaching

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

Internetseminar Evolutionary Equations ISEM23
Geophysical Flows (TU Darmstadt)

Curriculum Vitae

2019 - dato	Assistant professor for analysis and stochastics at Technische Universität Kaiserslautern
2015 - 2019	Research and teaching associate in the applied analysis group of the department of mathematics at Technische Universität Darmstadt
2013 - 2015	Consultant at the d-fine GmbH in Frankfurt am Main
2013	Guest researcher at the Institut of Physics of the Czech Academy of Sciences in Rez, Czech Republic
2009 - 2013	Research and teaching associate and doctorate (Dr. rer. nat) in the functional analysis group at the department of mathematics at Johannes Gutenberg-Universität Mainz Dissertation: Spectral theory for differential operators on metric graphs and bounded domains
2003 - 2008	Studies of mathematics at Universität Duisburg-Essen and Rheinischen Friedrich-Wilhelms-Universität Bonn Diploma thesis : On the scattering theory of Dirac operators

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!

If you enjoy the scientific life and work and are interested in doing a PhD in one of the subjects listed above, then I would like to encourage you to contact me for further discussions.

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

Department of Mathematics

Functional Analysis and Stochastic Analysis Group