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Hyperbolic systems in physics and biology

2015/18/M/ST1/00075

Keywords

Descriptors

  • ST1_11: Równania różniczkowe cząstkowe
  • ST1_8: Analiza
  • ST1_12: Fizyka matematyczna

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

Voivodeship: mazowieckie

Other projects carried out by the institution »

Principal investigator (from the host institution)

prof. Piotr Andrzej 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
2016-04-13
Project end date
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. 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 (year: 2017, volume: 223, pages: 1375–1395), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00205-016-1060-5 – link to the publication

  2. 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 (year: 2018, volume: 40, pages: 337–360), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.nonrwa.2017.09.006 – link to the publication

  3. A two species hyperbolic-parabolic model of tissue growth

    Authors:
    Piotr Gwiazda, Benoît Perthame, Agnieszka Świerczewska-Gwiazda
    Academic press:
    Comm. Partial Differential Equations (year: 2019, volume: 44(12), pages: 1604-1618), Publisher: Taylor and Francis
    Status:
    Published
    DOI:
    10.1080/03605302.2019.1650064 – link to the publication

  4. 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 (year: 2017, volume: 262, pages: 313–364), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2016.09.020 – link to the publication

  5. 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 (year: 2016, volume: 407, pages: 38-50), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jtbi.2016.07.008 – link to the publication

  6. 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. (year: 2018, volume: 50, pages: 5811–5824), Publisher: SIAM
    Status:
    Published
    DOI:
    10.1137/18M117981X – link to the publication

  7. 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 (year: 2018, volume: 57, pages: 6), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00526-018-1441-8 – link to the publication

  8. 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 (year: 2019, volume: 57(4), pages: 1842-1874), Publisher: SIAM
    Status:
    Published
    DOI:
    10.1137/18M1189427 – link to the publication

  9. 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 (year: 2020, volume: 37, pages: 683-707), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.anihpc.2019.11.001 – link to the publication

  10. 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 (year: 2018, volume: 229, pages: 1223–1238), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00205-018-1238-0 – link to the publication

  11. 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 (year: 2019, volume: 475, pages: 20190289), Publisher: The Royal Society Publishing
    Status:
    Published
    DOI:
    10.1098/rspa.2019.0289 – link to the publication

  12. 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 (year: 2019, volume: 29, pages: 501-510), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00332-018-9496-4 – link to the publication

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