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Information on the principal investigator and host institution

Information of the project and the call

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Singular solutions of chemotaxis equations and hydro- and aerodynamics.

2013/09/D/ST1/03687

Keywords:

chemotaxis Keller-Segel system Euler equations Hunter-Saxton equations existence and uniqueness of solutions blowups vorticity

Descriptors:

  • ST1_11: Partial differential equations
  • ST1_12: Mathematical methods of physics

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 PAN

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Tomasz Cieślak 

Number of co-investigators in the project: 1

Call: SONATA 5 - announced on 2013-03-15

Amount awarded: 111 800 PLN

Project start date (Y-m-d): 2014-02-11

Project end date (Y-m-d): 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 (7)
  1. A theorem on measures in dimension 2 and applications to vortex sheets
    Authors:
    Tomasz Cieślak, Marta Szumańska
    Academic press:
    Journal of Functional Analysis (rok: 2014, tom: 256, strony: 6780-6795), Wydawca: elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2014.04.002 - link to the publication
  2. Multipeakons viewed as geodesics.
    Authors:
    Cieślak, Tomasz; Gaczkowski, Michał; Kubkowski, Mariusz; Małogrosz, Marcin
    Academic press:
    Bull. Pol. Acad. Sci. Math. (rok: 2017, tom: 65, strony: 153–164), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/ba8119-6-2017 - link to the publication
  3. 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 (rok: 2015, tom: 258, strony: 2080-2113), Wydawca: elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2014.12.004 - link to the publication
  4. 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 (rok: 2017, tom: 35, strony: 45310), Wydawca: elsevier
    Status:
    Published
    DOI:
    10.002 - link to the publication
  5. 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 (rok: 2017, tom: 159, strony: 129-144), Wydawca: elsevier
    Status:
    Published
    DOI:
    10.1016/j.na.2016.04.013 - link to the publication
  6. Kinetic energy represented in terms of moments of vorticity and applications
    Authors:
    Tomasz Cieślak, Krzysztof Oleszkiewicz, Marcin Preisner, Marta Szumańska
    Academic press:
    J. Math. Fluid Mech. , Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication
  7. Maximal dissipation in Hunter-Saxton equation for bounded energy initial data
    Authors:
    Tomasz Cieślak, Grzegorz Jamróz
    Academic press:
    Advances in Mathematics (rok: 2016, tom: 290, strony: 590-613), Wydawca: elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2015.09.040 - link to the publication

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