Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Measure theoretic, geometric and fourier methods in analysis of some equations of inviscid hydrodynamics

2017/26/E/ST1/00989

Keywords:

Euler equations vortex sheets Camassa-Holm equations multipeakons

Descriptors:

  • ST1_11: Partial differential equations
  • ST1_12: Mathematical methods of physics
  • ST1_17: Applied mathematics

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

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: 4

Call: SONATA BIS 7 - announced on 2017-06-14

Amount awarded: 679 000 PLN

Project start date (Y-m-d): 2018-04-27

Project end date (Y-m-d): 2023-04-26

Project duration:: 60 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. brak.

Information in the final report

  • Publication in academic press/journals (14)
  1. Global-in-time regular unique solutions with positive temperature to the 1d thermoelasticity
    Authors:
    Piotr M. Bies, Tomasz Cieślak
    Academic press:
    SIAM J. Math. Anal. (rok: 2023, tom: 55, strony: 7024--7038), Wydawca: SIAM press
    Status:
    Published
    DOI:
    10.1137/23M1560550 - link to the publication
  2. Magnetostatic levitation and two related linear PDEs in unbounded domains
    Authors:
    Bartosz Bieganowski, Tomasz Cieślak, Jakub Siemianowski
    Academic press:
    Reports on Mathematical Physics (rok: 2023, tom: 92, strony: 135-144), Wydawca: PWN/elsevier
    Status:
    Published
    DOI:
    10.1016/S0034-4877(23)00066-6 - link to the publication
  3. Viscosity solutions to an initial value problem for a Hamilton–Jacobi equation with a degenerate Hamiltonian occurring in the dynamics of peakons
    Authors:
    Tomasz Cieślak , Jakub Siemianowski, Andrzej Święch
    Academic press:
    Nonlinear Analysis, Theory, Methods and Applications (rok: 2021, tom: 204, strony: 112204), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.na.2020.112204 - link to the publication
  4. A partial uniqueness result and an asymptotically sharp nonuniqueness result for the Zhikov problem on the torus
    Authors:
    Tomasz Cieślak, Wojciech S. Ożański
    Academic press:
    Calculus of Variations and Partial Differential Equations (rok: 2022, tom: 61, strony: Paper no. 97, 15 pp.), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00526-022-02206-7 - link to the publication
  5. ON THE EXISTENCE OF GLOBAL SOLUTIONS FOR THE 3D CHEMOREPULSION SYSTEM
    Authors:
    Tomasz Cieślak, Mario Fuest, Karol Hajduk, Mikołaj Sierżęga
    Academic press:
    Zeitschrift fuer Analysis und ihre Anwendungen , Wydawca: European Mathematical Society Press
    Status:
    Submitted
    DOI:
    brak - link to the publication
  6. Well-posedness of logarithmic spiral vortex sheets
    Authors:
    Tomasz Cieślak, Piotr Kokocki, Wojciech S. Ożański
    Academic press:
    Journal of Differential Equations , Wydawca: elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  7. Existence of solutions to a one-dimensional Hamilton-Jacobi equation with a degenerate Hamiltonian
    Authors:
    Tomasz Cieślak, Hiroshi Wakui
    Academic press:
    Applicationes Mathematicae (rok: 2020, tom: 47, strony: 155-163), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/am2407-7-2020 - link to the publication
  8. Geometric aspects of two- and threepeakons
    Authors:
    Tomasz Cieślak, Wojciech Kryński
    Academic press:
    Nonlinearity (rok: 2021, tom: 34, strony: 6685–6704), Wydawca: Institute of Physics Publishing and London Mathematical Society
    Status:
    Published
    DOI:
    10.1088/1361-6544/ac149e - link to the publication
  9. GLOBAL WEAK SOLUTIONS IN NONLINEAR 3D THERMOELASTICITY
    Authors:
    Tomasz Cieślak, Boris Muha, Srdan Trifunović
    Academic press:
    Calculus of Variations PDEs , Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  10. LINEAR INSTABILITY OF SYMMETRIC LOGARITHMIC SPIRAL VORTEX SHEETS
    Authors:
    Tomasz Cieślak, Piotr Kokocki, Wojciech S. Ożański
    Academic press:
    Journal of Mathematical Fluid Mechanics , Wydawca: Birkhauser
    Status:
    Submitted
    DOI:
    brak - link to the publication
  11. TIME-ZERO LIMITS OF KADEN'S SPIRALS AND 2D EULER
    Authors:
    Bartosz Bieganowski, Tomasz Cieślak, Jakub Siemianowski
    Academic press:
    Interfaces and free boundaries , Wydawca: European Mathematical Society Press
    Status:
    Submitted
    DOI:
    brak - link to the publication
  12. Existence of viscosity solutions with the optimal regularity of a two-peakon Hamilton–Jacobi equation
    Authors:
    Tomasz Cieślak, Jakub Siemianowski
    Academic press:
    Journal of Hyperbolic Differential Equations (rok: 2021, tom: 18(2), strony: 493-510), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219891621500156 - link to the publication
  13. Some remarks on well-posedness of the higher-dimensional chemorepulsion system
    Authors:
    Tomasz Cieslak, Kentarou Fujie
    Academic press:
    Bull. Polish Acad. Sci. Math. (rok: 2019, tom: 67, strony: 165-178), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/ba190324-4-6 - link to the publication
  14. EXISTENCE OF NONSYMMETRIC LOGARITHMIC SPIRAL VORTEX SHEET SOLUTIONS TO THE 2D EULER EQUATIONS
    Authors:
    Tomasz Cieślak, Piotr Kokocki, Wojciech S. Ożański
    Academic press:
    Annali Scuola Normale Superiore Pisa Classe Scienze , Wydawca: Scuola Normale Superiore, Pisa
    Status:
    Accepted for publication
    DOI:
    10.2422/2036-2145.202208_003 - link to the publication

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