Singular solutions of chemotaxis equations and hydro- and aerodynamics.
2013/09/D/ST1/03687
Keywords
Descriptors
- ST1_11: Równania różniczkowe cząstkowe
- ST1_12: Fizyka matematyczna
Panel
ST1 – Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics
Host institution
Instytut Matematyczny Polskiej Akademii Nauk
Voivodeship: mazowieckie
Principal investigator (from the host institution)
Number of co-investigators in the project: 1
Call
SONATA 5 – announced on 2013-03-15
- Amount awarded
- 111 800 PLN
- Project start date
- 2014-02-11
- Project end date
- 2017-02-10
- Project duration
- 36 months (the same as in the proposal)
- Project status
- Project settled
Information in the final report
Publication in academic press/journals (6)
-
A theorem on measures in dimension 2 and applications to vortex sheets
- Authors:
- Tomasz Cieślak, Marta Szumańska
- Academic press:
- Journal of Functional Analysis (year: 2014, volume: 256, pages: 6780-6795), Publisher: elsevier
- Status:
- Published
- DOI:
- 10.1016/j.jfa.2014.04.002 – link to the publication
-
Multipeakons viewed as geodesics.
- Authors:
- Cieślak, Tomasz; Gaczkowski, Michał; Kubkowski, Mariusz; Małogrosz, Marcin
- Academic press:
- Bull. Pol. Acad. Sci. Math. (year: 2017, volume: 65, pages: 153–164), Publisher: Instytut Matematyczny PAN
- Status:
- Published
- DOI:
- 10.4064/ba8119-6-2017 – link to the publication
-
New critical exponents in a fully parabolic quasilinear Keller–Segel system and applications to volume filling models
- Authors:
- Tomasz Cieślak, Christian Stinner
- Academic press:
- Journal of Differential Equations (year: 2015, volume: 258, pages: 2080-2113), Publisher: elsevier
- Status:
- Published
- DOI:
- 10.1016/j.jde.2014.12.004 – link to the publication
-
Stabilization in a higher-dimensional quasilinear Keller–Segel system with exponentially decaying diffusivity and subcritical sensitivity
- Authors:
- Tomasz Cieślak, Michael Winkler
- Academic press:
- Nonlinear Analysis, TMA (year: 2017, volume: 159, pages: 129-144), Publisher: elsevier
- Status:
- Published
- DOI:
- 10.1016/j.na.2016.04.013 – link to the publication
-
Global bounded solutions in a two-dimensional quasilinear Keller–Segel system with exponentially decaying diffusivity and subcritical sensitivity
- Authors:
- Tomasz Cieślak, Michael Winkler
- Academic press:
- Nonlinear Analysis, RWA (year: 2017, volume: 35, pages: 46041), Publisher: elsevier
- Status:
- Published
- DOI:
- 10.1016/j.nonrwa.2016.10.002 – link to the publication
-
Maximal dissipation in Hunter-Saxton equation for bounded energy initial data
- Authors:
- Tomasz Cieślak, Grzegorz Jamróz
- Academic press:
- Advances in Mathematics (year: 2016, volume: 290, pages: 590-613), Publisher: elsevier
- Status:
- Published
- DOI:
- 10.1016/j.aim.2015.09.040 – link to the publication