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I am a PhD since June 23, 2014. My thesis was prepared with the supervision of Jean Dolbeault
within the Ceremade.
Currently, I am a postdoc in LMB where I'm working with Alexei Lozinski on a multi-scale finite element method for the Navier-Stokes equation.
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
- Numerical analysis
- Study of two crowd motion and herding models, somewhat similar to the Keller-Segel model.
- Numerical stability analysis for some self-similar solutions of the parabolic-parabolic Keller-Segel model.
- Asymptotic behaviour for non linear diffusion equations and related functional inequalities.
- PhD thesis : Asymptotic study of non linear diffusion type PDEs and related functional inequalities (pdf)
Lastest publication
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Visits & conferences
- July 2013, visitor at DIM (Universitad de Chile) – Santiago
Talks
- 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)
Teaching (in french)
Curriculum vitæ
Contact
Gaspard Jankowiak
jankowiak@math.cnrs.fr
+33 (0)6 65 08 54 96 (mobile)
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Laboratoire de Mathématiques de Besançon
Bat. Métrologie, 3e étage, bureau 332
16 Route de Gray
25000 Besançon - France
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