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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Relative entropy method for nonlinear systems

2017/27/B/ST1/01569

Keywords:

system of conservation laws weak solutions measure-valued solutions

Descriptors:

  • ST1_11: Partial differential equations
  • ST1_8: Analysis
  • ST1_18: Control theory and optimisation

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

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Agnieszka 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 (Y-m-d): 2018-07-24

Project end date (Y-m-d): 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. Tablet (2 szt).
  2. licencja Office (390 PLN)
  3. komputer przenośny (2 szt.) (12 000 PLN)
  4. licencja Office.
  5. Urządzenie wielofunkcyjne.
  6. Komputer przenośny.
  7. Tablet.
  8. komputer przenośny.
  9. licencja Adobe (725 PLN)

Information in the final report

  • Publication in academic press/journals (7)
  • Book publications / chapters in book publications (1)
  1. 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 (rok: 2022, tom: 246, no. 1, strony: 209-240), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00205-022-01816-x - link to the publication
  2. Dissipative measure-valued solutions to the Euler-Poisson equation
    Authors:
    Jose A. Carrillo, Tomasz Dębiec, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda
    Academic press:
    SIAM Journal on Mathematical Analysis , Wydawca: SIAM
    Status:
    Accepted for publication
  3. Analysis of the generalised Aw-Rascle model
    Authors:
    Nilasis Chaudhuri, Piotr Gwiazda, Ewelina Zatorska
    Academic press:
    Communications in Partial Differential Equations (rok: 2023, tom: 48, no. 3, strony: 440-477), Wydawca: Taylor and Francis
    Status:
    Published
    DOI:
    10.1080/03605302.2023.2183511 - link to the publication
  4. Fast reaction limit and forward-backward diffusion: A Radon–Nikodym approach
    Authors:
    Jakub Skrzeczkowski
    Academic press:
    Comptes Rendus Mathématique (rok: 2022, tom: 360, strony: 189-203), Wydawca: Académie des sciences de France
    Status:
    Published
    DOI:
    10.5802/crmath.279 - 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 (rok: 2020, tom: 268, strony: 4119 - 4182), Wydawca: Elsevier
    Status:
    Published
  6. 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 (rok: 2022, tom: 64, strony: jeszcze nie przypisane), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.nonrwa.2021.103426 - link to the publication
  7. Sensitivity equations for measure-valued solutions to transport equations
    Authors:
    Azmy S. Ackleh, Nicolas Saintier, Jakub Skrzeczkowski
    Academic press:
    Mathematical Biosciences and Engineering (rok: 2020, tom: 17, strony: 514 - 537), Wydawca: AIMS Press
    Status:
    Published
    DOI:
    10.3934/mbe.2020028 - link to the publication
  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 , Wydawca: Oxford University Press
    Status:
    Accepted for publication