Research Assistant Position

The Weierstrass Institute for Applied Analysis and Stochastics (WIAS) is an institute of the Forschungsverbund Berlin e.V. (FVB). The FVB comprises seven non-university research institutes in Berlin which are funded by the federal and state governments. The research institutes belong to the Leibniz Association.

Research Assistant Position (f/m/d)

(/14)

(Post Doc) in the Research Group

Nonlinear Optimization and Inverse Problems

( Head: Prof. Dr.

D. Hömberg ) starting as soon as possible.

The position is within the Math+ project "Anisotropic microfluids -- fluctuations, control, effective models and their numerics".

Here, we study anisotropic microfluids and the effect of stochastic fluctuations in electrokinetic flows. This is of interest in so-called lab-on-chip devices, where laboratory functions should be integrated and automized on small chips. A possible way of establishing a precise reliable microfluidic control is via flows induced via electric fields in anisotropic media. It turns out that such devices are prone to random fluctuations, which can influence the system quite heavily.

We establish new results concerning the analysis of stochastically driven anisotropic fluids, design novel numerical simulation and optimal control schemes, and provide new means for risk management. This project mainly focuses on the analysis and optimal control of the underlying SPDE and the associated numerical implementation. As a simplified model for the underlying phenomena, we are going to consider the Ericksen—Leslie model with stochastic fluctuations and investigate it in terms of existence of solutions and their approximation, the associated large deviation principle and the simulation of the occurrence of rare events, as well as model simplifications and associated a posteriori error estimate.

This will mainly rely on the construction of optimal control strategies associated to the large deviation principle of the system.

The project is a collaboration between WIAS (Research Group “Nonlinear Optimization and Inverse Poblems” – PI Robert Lasarzik) and TU Berlin (PI Benjamin Gess and Sandra May).

We are looking for : a highly motivated researcher with at least 3 years of research experience (possibly as part of the PhD) in a field related to mathematical analysis of partial differential equations (PDEs), calculus of variations, optimal control, who is willing to engage in innovative and interdisciplinary research questions. Good communication skills in English and/or German are expected.

What we offer:

• WIAS Berlin is a premier research institution known for its strength in optimization, optimal control, dynamical systems, and applied mathematics in general.
• Mobile working
• A certified (Audit berufundfamilie) family-friendly work environment.
• Berlin is one of the most culturally rich and diverse cities in the world. It offers endless opportunities to enjoy life outside of work, while being very affordable compared to other major cities. Neither the job nor living in Berlin requires German language (although WIAS offers free German courses). We highly welcome international applications. Scientifically, Berlin offers a rich landscape with numerous opportunities for research, as well as job prospects in academia and industry.
• he successful candidate will receive careful mentorship both from the supervisor and from other peers through a dedicated mentorship program.

The working hours are 39 hours per week and the position is remunerated according to TVoeD Bund. The position is initially limited to two years.

The Weierstraß Institute is an equal opportunity employer. We explicitly encourage female researchers to apply for the offered position. Among equally qualified applicants, disabled candidates will be given preference.

Please upload complete application documents (cover letter, curriculum vitae, certificates, list of publications, possibly reference letters, etc.) via our online job-application facility using the button “ Apply online ”.

The advertisement is open with immediate effect and will remain open until the position will be filled. We plan to start the job interviews in October.

We are looking forward to your application!

Die Stelle ist im Rahmen des Math+ Projekts „ Anisotropic microfluids -- fluctuations, control, effective models and their numerics “ angesiedelt.