Currently, I am a postdoc at the University of Graz in the group of Kristan Bredies.
I work on designing and analyzing models in the context of crowd motion and cell biology, including membranes of crawling lymphocytes.
In the case I study more specifically, this leads to gradient-flows which govern the evolution of rheologically nonhomogeneous curves on the plane.
More generally, I am also interested in analysis of non linear PDEs, of drift-diffusion type in particular, just like the Keller and Segel model for chemotaxis.
This also leads me to study some related functional inequalities.
Research
- Modelling: biological membranes and crowd motion
- Asymptotic behaviour for non linear diffusion
- Mean-field models - Keller-Segel-type systems
- Sharp functional inequalities
- Numerical analysis
- Some geometric analysis
Visits & conferences
- July 2024, University of Vienna
- April 2024, University of Vienna
- August 2018, Cemracs: Parameter estimation in electroporation modelling – Luminy
- Nov.-Dec. 2016, visitor at the Mittag-Leffler Institute – Stockholm
- July 2013, visitor at DIM (Universitad de Chile) – Santiago
Talks
- July 2024, MMEE 2024, Vienna
- June 2024, Applied analysis seminar, Graz
- December 2023, Inverse problèmes and mathematical imaging seminar, Graz
- August 2021, SIMAI, Parma (online)
- February 2020, Séminaire IDP, Orléans
- January 2020, PDE-MANS 2020, Granada
- June 2019, DISMA seminar, Torino
- April 2019, Maths-Bio work group, Marseille
- January 2019, CSM seminar, Bordeaux
- December 2018, Mamba meeting, Paris
- June 2018, MB2 Conference, Besançon
- January 2018, DK/SFB Winterschool, Reichenau (Austria)
- July 2017, Workshop “Aggregation-Diffusion PDEs”, Anacapri (Italy)
- May 2017, DK Seminar, University of Vienna
- March 2016, Numerical analysis seminar, LMB, Besançon
- April 2015, Kinetic Equations and Spectral Theory workshop, LMB, Besançon
- January 2015, Analysis seminar at Institut Camille Jordan, Lyon
- Decembre 2014, Seminar at the University of Basque Country, Bilbao
- September 2014, PDE seminar at LMB
- June 2014, “Entropy, PDEs and functional inequalities” week, BIRS, Banff (video + slides)
- January 2014, Inégalités de Sobolev et Hardy-Littlewood-Sobolev, PhD students meeting – Ceremade (slides, french)
- May 2013, Solutions stationnaires pour deux modèles de mouvement de foule : multiplicité et stabilité dynamique, SMAI 2013 Convention – Seignosse (slides)
Posters
- September 2012, Study of two crowd motion and herding models Applieds PDEs for Life Sciences – Barcelona (pdf|source)
PhD thesis
Asymptotic study of non linear diffusion type PDEs and related functional inequalities (TEL)
Supervisor: Jean Dolbeault. Written within Ceremade, and defended on June 23, 2014.
Contact
Gaspard Jankowiak
@ gaspard@math.janko.fr
@ gaspard.jankowiak@uni-graz.at
✆ +43 316 380 5184
ORCiD
Department of Mathematics and Scientific Computing
University of Graz
Heinrichstraße 36
A-8010 Graz
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