Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Onsager's conjecture for general conservation laws

2018/31/B/ST1/02289

Keywords:

energy conservation Besov spaces convex integration

Descriptors:

  • ST1_11: Partial differential equations
  • ST1_12: Mathematical methods of physics
  • ST1_8: Analysis

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):

prof. Piotr Gwiazda 

Number of co-investigators in the project: 3

Call: OPUS 16 - announced on 2018-09-14

Amount awarded: 468 720 PLN

Project start date (Y-m-d): 2019-11-14

Project end date (Y-m-d): 2024-08-13

Project duration:: 36 months (the same as in the proposal)

Project status: Project completed

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.

Information in the final report

  • Publication in academic press/journals (6)
  • Book publications / chapters in book publications (1)
  1. On renormalized solutions to elliptic inclusions with nonstandard growth.
    Authors:
    Denkowska, Anna; Gwiazda, Piotr; Kalita, Piotr;
    Academic press:
    Calc. Var. Partial Differential Equations (rok: 2021, tom: 60, strony: Paper No. 21), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00526-020-01893-4 - link to the publication
  2. NON-NEWTONIAN FLUIDS WITH DISCONTINUOUS-IN-TIME STRESS TENSOR
    Authors:
    MIROSLAV BULÍČEK, PIOTR GWIAZDA, JAKUB SKRZECZKOWSKI, AND JAKUB WOŹNICKI
    Academic press:
    Journal of Functional Analysis (rok: 2023, tom: 285, strony: 109943), Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    10.1016/j.jfa.2023.109943 - link to the publication
  3. Measure differential equation with a nonlinear growth/decay term
    Authors:
    Christian Düll, Piotr Gwiazda, Anna Marciniak-Czochra, Jakub Skrzeczkowski
    Academic press:
    Nonlinear Analysis: Real World Applications (rok: 2023, tom: 73, strony: 103917), Wydawca: Pergamon
    Status:
    Published
    DOI:
    10.1016/j.nonrwa.2023.103917 - link to the publication
  4. On a Range of Exponents for Absence of Lavrentiev Phenomenon for Double Phase Functionals
    Authors:
    Miroslav Bulíˇcek, Piotr Gwiazda, Jakub Skrzeczkowski
    Academic press:
    Arch. Rational Mech. Anal. (rok: 2022, tom: 246, strony: 209-240), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00205-022-01816-x - link to the publication
  5. Cahn–Hillard and Keller–Segel systems as high-friction limits of Euler–Korteweg and Euler–Poisson equations
    Authors:
    Dennis Gallenmüller, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda, Jakub Woźnicki
    Academic press:
    Calculus of Variations and Partial Differential Equations (rok: 2024, tom: 63, strony: 47), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00526-023-02656-7 - link to the publication
  6. Parabolic equations in Musielak -- Orlicz spaces with discontinuous in time N-function
    Authors:
    Miroslav Bulíček, Piotr Gwiazda, Jakub Skrzeczkowski
    Academic press:
    Journal of Differential Equations (rok: 2021, tom: 290, strony: 17-56), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2021.04.017 - link to the publication
  1. nie dotyczy
    Authors:
    Iwona Chlebicka, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda, Aneta Wróblewska-Kamińska
    Book:
    Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces (rok: 2021, tom: nie dotyczy, strony: I-XIII, 1-389), Wydawca: Springer Nature
    Status:
    Published