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Shahnaz Farhat

I am currently a postdoctoral researcher under the guidance of Sören Petrat at Constructor University in Bremen, Germany. Prior to this position, I completed my PhD at the University of Rennes in France, under the supervision of Christophe Cheverry and Zied Ammari. My research interests lie in the realm of mathematical physics. During my PhD, I delved into transport equations, particularly those arising from plasma physics and quantum mechanics. My work encompassed both deterministic and statistical aspects of these subjects, employing various methods of functional analysis and PDE techniques. Presently, my research is centered on problem arising in many-body quantum mechanics.

Contact

Address: Constructor University Bremen gGmbH, Campus Ring 1, 28759 Bremen (Germany)

Building: Research I

Office: 129

Email: sfarhat@constructor.university

Publications and Preprints

[1] Invariant measures as probabilistic tools in the analysis of nonlinear ODEs and PDEs (with Z. Ammari and V. Sohinger), accepted in Springer INDAM series proceeding.

[2] Paradigm for the creation of scales and phases in nonlinear evolution equations (with C. Cheverry), Electron. J. Differential Equations, Vol. 2023 (2023), No. 09, pp. 1-59.

[3] Long time Gyrokinetic equations (with C. Cheverry), Quarterly of Applied Mathematics, 2023.

[4] Almost sure existence of global solutions for general initial value problems (with Z. Ammari and V. Sohinger), available online: arXiv:2305.17789.

[5] Quantum-classical motion of charged particles interacting with scalar fields, about 40 p., available online: hal-04425503.

Activities

Talks

- Kinetic equation, Mathematical Physics and Probability conference, Bilbao, Spain (June 2024)

- SMAQ seminar, GSSI, L'Aquila, Italy (April 2024)

-Analysis Seminar at Oldenburg, Germany (April 2024)

-16th conference of the GDR DynQua, Quantum Dynamics, Cergy Paris university, Paris France (February 2024)

-Seminar at LAGA, Insitute Galilee, Universite Paris 13, France (January 2024)

-Kick-off Meeting of the ANR-DFG project, University of Lorraine, Metz, France (August 2023)

- Many-body quantum problems and dispersive PDEs, University of Warwick, UK (June 2023)

-Seminar at University of Nantes, France (April 2023)

-Mathematical and theoritical physics seminar, Constructor university, Bremen (January 2023)

- Poster talk at summer school "Trails in wave turbulence: from random waves to kinetic equations", GSSI, L'Aquila, Italy (September 2022)

- PDE seminar, University of Rennes, France (June 2022)

Workshops, conferences and summer schools (selected)

-Summer School: Effective Approximation and Dynamics of Many-Body Quantum Systems, Metz, France (June 2024)

- Conference: Mathematical Physics and Probability conference, Bilbao, Spain (June 2024)

- Workshop: Quantum many-body systems out-of-equilibrium, Institute Henri Poincare, Paris, France (January 2024)

-16th conference of the GDR DynQua, Quantum Dynamics, Cergy Paris university, Paris France (February 2024)

-15 Meeting GDR DYNQUA, University of Rennes (February 2023)

-Kick-off Meeting of the ANR-DFG project, University of Lorraine, Metz, France (August 2023)

-Summer school "Trails in wave turbulence: from random waves to kinetic equations", GSSI, L'Aquila, Italy (September 2022)

-Workshop: IQM22 "INDAM QUANTUM MEETINGS", Politecnico de Milano, Milan, Italy (April 2022)

-Conference: Models and methods for kinetic equations, University of Bordeaux, France (October 2021)

-Summer school: From kinetic equations to statistical mechanics, Saint Jean de Monts, France (June 2021)

-Conference: Stochastic differential geometry and mathematical physics (June 2021)

Work Experience

Postdoc, Constructor university, Bremen, germany (ongoing)
Teaching, University of Rennes, France, 2022-2023 (TD and TP of Integrations and probability courses for second year Biology-Geosciences-environment)
Internship (Long-time confinement of charged particles in magnetic field, under direction of C. Cheverry), University of Rennes, 2019

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