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Hyperbolic conservation laws: theory and applications in geoscience and public health

2012/05/E/ST1/02218

Keywords

Descriptors

  • NZ7_1: Epidemiologia

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)

dr hab. Agnieszka Świerczewska-Gwiazda

Number of co-investigators in the project: 7

Call

SONATA BIS 1 – announced on 2012-03-15

Amount awarded
500 540 PLN
Project start date
2013-03-04
Project end date
2019-03-03
Project duration
72 months (the same as in the proposal)
Project status
Project settled

Equipment purchased [PL]

  1. Notebook (2 pcs). Cost: 7 000 PLN
  2. Notebook (2 pcs). Cost: 12 000 PLN
  3. Wielofunckyjne urządzenie (drukarka, kopiarka, skaner). Cost: 1 000 PLN
  4. zestaw komputerowy. Cost: 5 000 PLN

Information in the final report

Publication in academic press/journals (16)

  1. The Escalator Boxcar Train Method for a System of Aged-structured Equations in the Space of Measures

    Authors:
    José A. Carrillo, Piotr Gwiazda, Karolina Kropielnicka, Anna Marciniak-Czochra
    Academic press:
    SIAM JOURNAL ON NUMERICAL ANALYSIS (year: 2019, volume: 57, pages: 1842--1874), Publisher: SIAM PUBLICATIONS
    Status:
    Published
    DOI:
    10.1137/18M1189427 – link to the publication

  2. 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

  3. Bayesian inference for age-structured population model of infectiousdisease with application to varicella in Poland

    Authors:
    Gwiazda P, Miasojedow B, Rosińska M.
    Academic press:
    J. Theor. Biol. (year: 2016, volume: 407, pages: 38-50), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jtbi.2016.07.008 – link to the publication

  4. Differentiability in perturbation parameter of measure solutions to perturbed transport equation

    Authors:
    P. Gwiazda, S. Hille, K. Łyczek, A. Świerczewska-Gwiazda
    Academic press:
    Kinetic and Related Models (year: 2019, volume: 12, pages: 1093-1108), Publisher: AMER INST MATHEMATICAL SCIENCES-AIMS
    Status:
    Published
    DOI:
    10.3934/krm.2019041 – link to the publication

  5. The Escalator Boxcar Train method for a system of aged-structured equations

    Authors:
    Piotr Gwiazda, Karolina Kropielnicka, Anna Marciniak-Czochra
    Academic press:
    Networks and Heterogeneous Media (year: 2016, volume: 11, pages: 123–143), Publisher: AIMS
    Status:
    Published
    DOI:
    10.3934/nhm.2016.11.123 – link to the publication

  6. Energy Conservation for the Compressible Euler and Navier-Stokes Equations with Vacuum

    Authors:
    I. Akramov, T. Dębiec, J. Skipper, E. Wiedemann.
    Academic press:
    Analysis & PDE (year: 2020, volume: 13, pages: 789-811), Publisher: MATHEMATICAL SCIENCE PUBL
    Status:
    Published
    DOI:
    10.2140/apde.2020.13.789 – link to the publication

  7. DISSIPATIVE MEASURE VALUED SOLUTIONS FOR GENERAL CONSERVATION LAWS

    Authors:
    PIOTR GWIAZDA, ONDREJ KREML, AGNIESZKA SWIERCZEWSKA-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

  8. Bayesian evidence synthesis to estimate HIV prevalence in menwho have sex with men in Poland at the end of 2009

    Authors:
    M. ROSINSKA, P. GWIAZDA, D. DE ANGELIS , and A.M. PRESANIS
    Academic press:
    Epidemiology and Infection (year: 2015, volume: 46332, pages: 46039), Publisher: Cambridge Journals
    Status:
    Published
    DOI:
    10.1017/S0950268815002538 – link to the publication

  9. Optimization in Structure Population Models through the Escalator Boxcar Train

    Authors:
    Rinaldo M. Colombo, Piotr Gwiazda, Magdalena Rosińska
    Academic press:
    ESAIM: Control, Optimisation and Calculus of Variations (year: 2018, volume: 24, pages: 377–399), Publisher: EDP Sciences
    Status:
    Published
    DOI:
    10.1051/cocv/2017003 – link to the publication

  10. THERMO-VISCO-ELASTICITY FOR MODELS WITH GROWTH CONDITIONS IN ORLICZ SPACES

    Authors:
    Filip Z. Klawe
    Academic press:
    Topological Methods in Nonlinear Analysis (year: 2016, volume: 47, pages: 457–497), Publisher: Juliusz Schauder University Centre for Nonlinear Studies
    Status:
    Published
    DOI:
    10.12775/TMNA.2016.006 – link to the publication

  11. CONSERVATION OF ENERGY FOR THE EULER-KORTEWEG EQUATIONS

    Authors:
    TOMASZ DĘBIEC, PIOTR GWIAZDA, AGNIESZKA ŚWIERCZEWSKA-GWIAZDA, ATHANASIOS TZAVARAS
    Academic press:
    Calculus of Variations and Partial Differential Equations (year: 2018, volume: 57, pages: Art. 160), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00526-018-1441-8 – link to the publication

  12. WEAK-STRONG UNIQUENESS FOR MEASURE-VALUED SOLUTIONS OF SOME COMPRESSIBLE FLUID MODELS

    Authors:
    PIOTR GWIAZDA, AGNIESZKA ŚWIERCZEWSKA-GWIAZDA, AND EMIL WIEDEMANN
    Academic press:
    Nonlinearity (year: 2015, volume: 28, pages: 3873–3890), Publisher: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/0951-7715/28/11/3873 – link to the publication

  13. High regional variability of HIV, HCV and injecting risks among people who inject drugs in Poland: comparing a cross-sectional bio-behavioural study with case-based surveillance.

    Authors:
    Magdalena Rosińska, Janusz Sierosławski, Lucas Wiessing
    Academic press:
    BMC Infectious Diseases (year: 2015, volume: 0,682638888888889, pages: 46033), Publisher: Springer
    Status:
    Published
    DOI:
    10.1186/s12879-015-0828-9 – link to the publication

  14. Weak solutions for Euler systems with non-local interactions

    Authors:
    Jose A. Carrillo, Eduard Feireisl, Piotr Gwiazda and Agnieszka Świerczewska-Gwiazda
    Academic press:
    Journal of the London Mathematical Society (year: 2017, volume: 95, pages: 705–724), Publisher: Wiley
    Status:
    Published
    DOI:
    10.1112/jlms.12027 – link to the publication

  15. Multi-dimensional scalar balance laws with discontinuous flux

    Authors:
    Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda, Petra Wittbold, Aleksandra Zimmermann
    Academic press:
    Journal of Functional Analysis (year: 2014, volume: 267, pages: 2846–2883), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2014.07.009 – link to the publication

  16. On weak solutions to the 2D Savage-Hutter model of the motion of a gravity driven avalanche flow

    Authors:
    Eduard Feireisl, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda
    Academic press:
    Communications in Partial Differential Equations (year: 2016, volume: 41, pages: 759-773), Publisher: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/03605302.2015.1127968 – link to the publication

Articles in post-conference publications (1)

  1. Relative entropy method for measure-valued solutions in natural sciences

    Authors:
    Tomasz Dębiec, Piotr Gwiazda, Kamila Łyczek, Agnieszka Świerczewska-Gwiazda
    Conference:
    Konferencja upamiętniająca prof. Marka Burnata (year: 2018, pages: 311-335), Publisher: Juliusz Schauder Centre for Nonlinear Studies Nicolaus Copernicus University
    Date:
    conference 2016-05-05 do 2016-05-07
    Status:
    Published

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