Phd Student Position
vor 5 Monaten
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.
PhD student position (f/m/d)
**(Ref. 23/19)**
in the Research Group
**“Nonlinear Optimization and Inverse Problems”**
(Head: Prof. Dr. D. Hömberg)** **to be filled **at the earliest possible date**.
The position is associated to the project
**“**Analysis of energy-variational solutions for hyperbolic conservation laws**”,**
which is part of the SPP 2410 “Hyperbolic Balance Laws in Fluid Mechanics: Complexity, Scales, Randomness”. While hyperbolic conservation laws are ubiquitous in the modeling of fluid-dynamical processes, fundamental analytic question remain open until today. In this project, a novel solution concept for such equations, which is founded on energetic considerations and variational methods, is studied. The project aims at the derivation of new existence results, the investigation of selection criteria to single out physically relevant solutions, and the numerical approximation of such solutions.
The position is hosted in Research Group “Nonlinear Optimization and Inverse Problems”. The project is a collaboration between Dr. Robert Lasarzik from this group, and Dr. Thomas Eiter from Research Group “Partial Differential Equations”. In this team, we are going to approach the above research plan together with the PhD student.
**What we offer**:
- Close mentorship: the PhD student will receive responsible and careful mentorship by both principal investigators, who emphasize fostering a healthy mentor-mentee relationship.
- WIAS Berlin is a premier research institution known for its strength in partial differential equations, mathematical modeling, nonlinear optimization, and applied mathematics in general.
- A certified (Audit berufundfamilie) family-friendly work environment.
The appointment is limited to three years. The reduced work schedule is 29.25 hours per week, and the salary is according to the German TVoeD Bund scale.
Das WIAS ist ein Institut des Forschungsverbundes Berlin e.V. (FVB). Der FVB ist Träger von sieben außeruniversitären naturwissenschaftlichen Forschungsinstituten in Berlin, die von der Bundesrepublik Deutschland und der Gemeinschaft der Länder finanziert werden. Die Forschungsinstitute gehören der Leibniz-Gemeinschaft an.
Am WIAS ist in der Forschungsgruppe
**„Nichtlineare Optimierung und Inverse Probleme“**
(Leitung: Prof. Dr. D. Hömberg) **zum nächstmöglichen Zeitpunkt **eine Stelle als
**Doktorand/in (m/w/d)**
***(Kennziffer 23/19)**
zu besetzen.
Die Stelle ist an das Projekt
**„Analysis of energy-variational solutions for hyperbolic conservation laws“**
gekoppelt, welches im SPP 2410 „Hyperbolic Balance Laws in Fluid Mechanics: Complexity, Scales, Randomness“ angesiedelt ist. Obwohl hyperbolische Erhaltungsgleichungen allgegenwärtig bei der Modellierung fluiddynamischer Prozesse sind, konnten fundamentale analytische Fragestellungen bis heute noch nicht zufriedenstellend beantwortet werden. In diesem Projekt wird ein neues Lösungskonzept für solche Gleichungen untersucht, das auf energetischen Betrachtungen und variationellen Methoden beruht. Ziele sind die Herleitung neuer Existenzresultate, die Untersuchung von Selektionskriterien zur Auswahl physikalisch relevanter Lösungen und die numerische Approximation von solchen Lösungen.
Die Stelle ist in der Forschungsgruppe „Nichtlineare Optimierung und Inverse Probleme“ bei Dr. Robert Lasarzik angesiedelt. Das Projekt ist eine Zusammenarbeit mit Dr. Thomas Eiter aus der Forschungsgruppe „Partielle Differentialgleichungen“. In diesem Team wollen wir gemeinsam mit dem/der Doktoranden/in das obigen Forschungsvorhaben angehen.
**Wir suchen**: Kandidat*innen mit einem Master-Abschluss in Mathematik oder einem eng verwandten Gebiet mit einem starken Hintergrund in mindestens einem der Gebiete: Analysis partieller Differentialgleichungen, Variationsrechnung, Funktionalanalysis. Vorkenntnisse in mathematischer Strömungsmechanik, numerischer Analysis oder nichtlinearer Optimierung sind von Vorteil.
**Was wir bieten**:
- Enge Betreuung: Die/der Doktorand/in erhält eine verantwortungsvolle und sorgfältige Betreuung durch beide Projektverantwortliche, die großen Wert auf die Förderung einer gesunden Mentor-Mentee-Beziehung legen.
- Das WIAS Berlin ist eine führende Forschungseinrichtung, die für ihre Stärken in den Bereichen partielle Differentialgleichungen, mathematische Modellierung, nichtlineare Optimierung und angewandte Mathematik im Allgemeinen bekannt ist.
- Ein zertifiziertes (Audit berufundfamilie) familienfreundliches Arbeitsumfeld.
- Berlin ist eine der kulturreichsten und vielfältigsten internationalen Städte der Welt. Sie b
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