Moritz Schlick position in the field of “Partial Differential Equations”

Moritz Schlick position in the field of “Partial Differential Equations”

The Moritz Schlick early-career programme (MSECP) at the University of Vienna supports early stage postdocs with high potential for an academic career. Participants in the programme receive outstanding financial support as well as training and mentoring to allow them to develop their full potential. Moritz Schlick early-career Postdoc Programm (univie.ac.at)

1.    General Description (research group)

Among the group’s main research themes is the justification of various simplifications used in the derivation of nonlinear models for fluid flows (by means of rigorous estimates) and qualitative studies of specific models (existence of solutions that capture specific observed properties, stability issues). Prof. Constantin's specific research focus is analysis in a broad sense, with emphasis on Partial Differential Equations and Dynamical Systems, Fluid Mechanics, Oceanography and Atmospheric Sciences (https://en.wikipedia.org/wiki/Adrian_Constantin )

2.    Job Description for the Moritz Schlick position
We seek an ambitious postdoctoral researcher with acquired expertise in the mathematical analysis of partial differential equations and with interest in applications to fluid mechanics (especially water flows) and/or geophysics (oceanography and/or atmospheric sciences).  

The emphasis of the research activity will be on the development and implementation of analytical techniques from the theory of partial differential equations and adjacent mathematical areas (like complex analysis, functional analysis, harmonic analysis, ordinary differential equations, topology, differential geometry). Working knowledge in mathematical modelling and/or in numerical simulations is advantageous but not required -- the successful candidate will have multiple opportunities to develop these aspects by means of interdisciplinary, collaborative research within the broader research community of the University of Vienna.  Candidates must have completed their PhD in Mathematics at the time of employment and  some postdoctoral experience would be beneficial (but is not mandatory). The successful candidate will join the research group of Prof. Adrian Constantin at the Faculty of Mathematics. Among the group’s main research themes is the justification of various simplifications used in the derivation of nonlinear models for fluid flows (by means of rigorous estimates) and qualitative studies of specific models (existence of solutions that capture specific observed properties, stability issues). Working groups at the Faculty of Mathematics of the University of Vienna provide a broad field of expertise in mathematical analysis and mathematical physics.

In this position, a one-time financial contribution of 75K will be made available.

3.    Qualification profile (minimum)
Candidates must have completed their PhD in Mathematics at the time of employment and must have a promising record of publications in subject-relevant journals as well as some teaching and research presentations experience. Prior postdoctoral experience would be beneficial but is not mandatory. Good command of written and spoken English is required. 

4.    Qualification profile (additional skills, necessary language, IT qualifications etc.)

A solid background in the mathematical analysis of partial differential equations and acquaintance with the fundamentals in some adjacent mathematical areas (like complex analysis, functional analysis, harmonic analysis, ordinary differential equations, topology, differential geometry) is required. Working knowledge in mathematical modelling and/or in numerical simulations is advantageous but not required -- the successful candidate will have multiple opportunities to develop these aspects by means of interdisciplinary, collaborative research within the broader research community of the University of Vienna. 

5.    Research Fields (keywords)

Partial Differential Equations, nonlinear analysis, fluid flows. 

6.    Mentor

The additional mentor for this position is Otmar Scherzer .

7.    Earliest Start Date: February, 2023.