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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Hyperbolic systems in physics and biology

2015/18/M/ST1/00075

Keywords:

Weak solutions uniqueness measure-valued solution Euler equations particle method

Descriptors:

  • ST1_11: Partial differential equations
  • ST1_8: Analysis
  • 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 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: 6

Call: HARMONIA 7 - announced on 2015-06-15

Amount awarded: 424 800 PLN

Project start date (Y-m-d): 2016-04-13

Project end date (Y-m-d): 2020-04-12

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.

Information in the final report

  • Publication in academic press/journals (12)
  1. A note on weak solutions of conservation laws and energy/entropy conservation
    Authors:
    Piotr Gwiazda, Martin Michálek, Agnieszka Świerczewska-Gwiazda
    Academic press:
    Archive for Rational Mechanics and Analysis (rok: 2018, tom: 229, strony: 1223–1238), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00205-018-1238-0 - link to the publication
  2. Bayesian inference for age-structured population model of infectious disease with application to varicella in Poland
    Authors:
    Piotr Gwiazda, Błażej Miasojedow, Magdalena Rosińska
    Academic press:
    Journal of Theoretical Biology (rok: 2016, tom: 407, strony: 38-50), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jtbi.2016.07.008 - link to the publication
  3. Conservation of energy for the Euler-Korteweg equations.
    Authors:
    Dębiec, Tomasz; Gwiazda, Piotr; Świerczewska-Gwiazda, Agnieszka; Tzavaras, Athanasios
    Academic press:
    Calc. Var. Partial Differential Equations (rok: 2018, tom: 57, strony: 6), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00526-018-1441-8 - link to the publication
  4. On the Extension of Onsager's Conjecture for General Conservation Laws
    Authors:
    Claude Bardos, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda, Edriss S. Titi, Emil Wiedemann
    Academic press:
    Journal of Nonlinear Science (rok: 2019, tom: 29, strony: 501-510), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00332-018-9496-4 - link to the publication
  5. Thermo-visco-elasticity for Norton–Hopf-type models with homogeneous thermal expansion
    Authors:
    Piotr Gwiazda, Filip Z. Klawe, Sebastian Owczarek
    Academic press:
    Nonlinear Analysis: Real World Applications (rok: 2018, tom: 40, strony: 337–360), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.nonrwa.2017.09.006 - link to the publication
  6. Dissipative measure-valued solutions for general conservation laws
    Authors:
    PiotrGwiazda, Ondrej Kreml, Agnieszka Świerczewska-Gwiazda
    Academic press:
    Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire (rok: 2020, tom: 37, strony: 683-707), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.anihpc.2019.11.001 - link to the publication
  7. On unified theory for scalar conservation laws with fluxes and sources discontinuous with respect to the unknown.
    Authors:
    Bulíček, Miroslav; Gwiazda, Piotr; Świerczewska-Gwiazda, Agnieszka
    Academic press:
    Journal of Differential Equations (rok: 2017, tom: 262, strony: 313–364), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2016.09.020 - link to the publication
  8. Onsager's conjecture in bounded domains for the conservation of entropy and other companion laws
    Authors:
    Claude Bardos, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda, Edriss S. Titi, Emil Wiedemann
    Academic press:
    Proceedings of the Royal Society A (rok: 2019, tom: 475, strony: 20190289), Wydawca: The Royal Society Publishing
    Status:
    Published
    DOI:
    10.1098/rspa.2019.0289 - link to the publication
  9. The Escalator Boxcar Train Method for a System of Age-Structured Equations in the Space of Measures
    Authors:
    José Antonio Carrillo , Piotr Gwiazda, Karolina Kropielnicka , and Anna K. Marciniak-Czochra
    Academic press:
    SIAM Journal on Numerical Analysis (rok: 2019, tom: 57(4), strony: 1842-1874), Wydawca: SIAM
    Status:
    Published
    DOI:
    10.1137/18M1189427 - link to the publication
  10. A two species hyperbolic-parabolic model of tissue growth
    Authors:
    Piotr Gwiazda, Benoît Perthame, Agnieszka Świerczewska-Gwiazda
    Academic press:
    Comm. Partial Differential Equations (rok: 2019, tom: 44(12), strony: 1604-1618), Wydawca: Taylor and Francis
    Status:
    Published
    DOI:
    10.1080/03605302.2019.1650064 - link to the publication
  11. Relative entropy method for measure solutions of the growth-fragmentation equation
    Authors:
    Dębiec, Tomasz; Doumic, Marie; Gwiazda, Piotr; Wiedemann, Emil
    Academic press:
    SIAM J. Math. Anal. (rok: 2018, tom: 50, strony: 5811–5824), Wydawca: SIAM
    Status:
    Published
    DOI:
    10.1137/18M117981X - link to the publication
  12. Regularity and energy conservation for the compressible Euler equations
    Authors:
    Feireisl, Eduard; Gwiazda, Piotr; Świerczewska-Gwiazda, Agnieszka; Wiedemann, Emil
    Academic press:
    Archive for Rational Mechanics and Analysis (rok: 2017, tom: 223, strony: 1375–1395), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00205-016-1060-5 - link to the publication

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