Projects per year
My research interests are in Analysis, Partial differential equations, and Applied mathematics (e.g. Modelling of biological systems and Numerics).
For the latter an important aspect of applied mathematical methods arises in the study of dynamical systems for biological or other life science problems. Here a model is seeked to describe best the data gathered in experiments.
I am interested in the parameter estimation process to help search and validate different model assumptions in gene regulatory networks as well as models for bacteria-phage infection.
For the former I am interested in applying mathematical methods from Analysis to Partial differential equations modelling problems in Biology and Materials Science. Often they share a common aspect in the form of propagation phenomena and/or a variational structure.
Propagation in many biological models is studied in the form of travelling wave solutions, where I study in particular kinetic transport equations and chemotaxis.
In the field of Variational problems in Materials Science I study the dynamics of elastic atomic chains, especially the Fermi-Pasta-Ulam atomic chain with nearest neighbour interaction.
Further variational problems arise in geometric analysis, where I am interested in curvature driven flows or stationary states.
Expertise related to UN Sustainable Development Goals
In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):
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- 3 Finished
17/03/14 → 16/06/17
Project: Research council
27/01/12 → 26/07/12
Project: Research council
Lin, C. C., Schwetlick, H. R. & Tran, D. T., 1 Jul 2022, In: Transactions of the American Mathematical Society. 375, 7, p. 4893-4942 50 p.
Research output: Contribution to journal › Article › peer-review
Schwetlick, H., Sutton, D. & Zimmer, J., 1 Apr 2020, In: Discrete and Continuous Dynamical Systems Series S. 13, 4, p. 1395-1410 16 p.
Research output: Contribution to journal › Article › peer-reviewOpen Access
Buffoni, B., Schwetlick, H. & Zimmer, J., 1 Mar 2019, In: Journal de Mathématiques Pures et Appliquées. 123, p. 1-40 40 p.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile1 Citation (SciVal)18 Downloads (Pure)
A systems biology approach uncovers the core gene regulatory network governing iridophore fate choice from the neural crest.Petratou, K., Subkhankulova, T., Lister, J., Rocco, A., Schwetlick, H. & Kelsh, R. N., 31 Oct 2018, In: Plos Genetics. 14, 10, 32 p., e1007402.
Research output: Contribution to journal › Article › peer-reviewOpen Access14 Citations (SciVal)
Buffoni, B., Zimmer, J. & Schwetlick, H., 15 Aug 2017, In: Journal of Differential Equations. 263, 4, p. 2317-2342 26 p.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile2 Citations (SciVal)166 Downloads (Pure)