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We invite applications for a postdoctoral position in the field of partial differential equations funded through NWO grant OCENW.KLEIN.358. The project addresses quasilinear parabolic equations arising in mathematical models for biofilm growth. The position has a duration of 20 months, does not carry any teaching duties, and will be supervised by Dr Stefanie Sonner. The starting date is June 2022. Applicants from groups that are underrepresented in Science are particularly encouraged to apply.
The research project focuses on the mathematical analysis of quasilinear reaction diffusion systems modelling the growth and formation of bacterial biofilms. Characteristic features of these systems are the degenerate diffusion coefficients for the biomass fractions comprising a power-law degeneracy (known from the porous medium equation) and a super diffusion singularity. The aim is to establish well-posedness results and to investigate qualitative properties of solutions such as their regularity and long-time behaviour. Applicants should hold a PhD degree in mathematics and have some background in nonlinear partial differential equations and/or reaction-diffusion systems.
Fixed-term contract: 20 months.
The Department of Mathematics at Radboud University in Nijmegen, the Netherlands, is part of the Institute for Mathematics, Astrophysics, and Particle Physics in the Faculty of Science. The department represents a broad range of research fields, including pure and applied analysis, algebraic geometry and topology, number theory, functional analysis, mathematical physics, non-commutative geometry and applied stochastics.
The Department of Mathematics has a friendly and welcoming atmosphere. We organise regular research seminars, have a range of specialist lectures and visitors to the department as well as a number of informal events throughout the year.
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