Relative entropy method for nonlinear systems

2017/27/B/ST1/01569

Keywords

Descriptors

  • ST1_11: Równania różniczkowe cząstkowe
  • ST1_8: Analiza
  • ST1_18: Zastosowania matematyki w innych naukach

Panel

ST1 – Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution

Uniwersytet Warszawski, Wydział Matematyki, Informatyki i Mechaniki

Voivodeship: mazowieckie

Other projects carried out by the institution »

Principal investigator (from the host institution)

prof. Agnieszka Katarzyna Świerczewska-Gwiazda

Number of co-investigators in the project: 5

Call

OPUS 14 – announced on 2017-09-15

Amount awarded
516 000 PLN
Project start date
2018-07-24
Project end date
2022-07-23
Project duration
48 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. Komputer przenośny.
  2. Tablet.
  3. Tablet (2 szt).
  4. Urządzenie wielofunkcyjne.
  5. komputer przenośny.
  6. komputer przenośny (2 pcs). Cost: 12 000 PLN
  7. licencja Adobe. Cost: 725 PLN
  8. licencja Office. Cost: 390 PLN
  9. licencja Office.

Information in the final report

Publication in academic press/journals (7)

  1. Fast reaction limit and forward-backward diffusion: A Radon–Nikodym approach

    Authors:
    Jakub Skrzeczkowski
    Academic press:
    Comptes Rendus Mathématique (year: 2022, volume: 360, pages: 189-203), Publisher: Académie des sciences de France
    Status:
    Published
    DOI:
    10.5802/crmath.279 – link to the publication
  2. On a range of exponents for absence of Lavrentiev phenomenon for double phase functionals

    Authors:
    Miroslav Bulicek, Piotr Gwiazda, Jakub Skrzeczkowski
    Academic press:
    Archive for Rational Mechanics and Analysis (year: 2022, volume: 246, no. 1, pages: 209-240), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00205-022-01816-x – link to the publication
  3. Sensitivity equations for measure-valued solutions to transport equations

    Authors:
    Azmy S. Ackleh, Nicolas Saintier, Jakub Skrzeczkowski
    Academic press:
    Mathematical Biosciences and Engineering (year: 2020, volume: 17, pages: 514 - 537), Publisher: AIMS Press
    Status:
    Published
    DOI:
    10.3934/mbe.2020028 – link to the publication
  4. Weak-strong uniqueness for a class of generalized dissipative weak solutions for non-homogeneous, non-Newtonian and incompressible fluids

    Authors:
    Jakub Woźnicki
    Academic press:
    Nonlinear Analysis: Real World Applications (year: 2022, volume: 64, pages: jeszcze nie przypisane), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.nonrwa.2021.103426 – link to the publication
  5. Measure solutions to perturbed structured population models – differentiability with respect to perturbation parameter

    Authors:
    Jakub Skrzeczkowski
    Academic press:
    Journal of Differential Equations (year: 2020, volume: 268, pages: 4119 - 4182), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2019.10.024 – link to the publication
  6. Analysis of the generalised Aw-Rascle model

    Authors:
    Nilasis Chaudhuri, Piotr Gwiazda, Ewelina Zatorska
    Academic press:
    Communications in Partial Differential Equations (year: 2023, volume: 48, no. 3, pages: 440-477), Publisher: Taylor and Francis
    Status:
    Published
    DOI:
    10.1080/03605302.2023.2183511 – link to the publication
  7. Dissipative measure-valued solutions to the Euler-Poisson equation

    Authors:
    Jose A. Carrillo, Tomasz Dębiec, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda
    Status:
    Accepted for publication

Book publications / chapters in book publications (1)

  1. Measure-Valued Solutions for Time-Dependent Partial Differential Equations

    Authors:
    Tomasz Dębiec, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda, Emil Wiedemann
    Book:
    Measure-Valued Solutions for Time-Dependent Partial Differential Equations, Publisher: Oxford University Press
    Status:
    Accepted for publication

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Graphic design and implementation: Jakub Piotrowski