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Singular Perturbations Leading To Averaging Principles in Models Originating from Biology and Medicine.

2017/25/B/ST1/01804

Keywords

Descriptors

  • ST1_18: Zastosowania matematyki w innych naukach
  • ST1_9: Algebry operatorowe i analiza funkcjonalna
  • ST1_13: Rachunek prawdopodobieństwa i statystyka matematyczna

Panel

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

Host institution

Politechnika Lubelska, Wydział Elektrotechniki i Informatyki

Voivodeship: lubelskie

Other projects carried out by the institution »

Principal investigator (from the host institution)

prof. Adam Bobrowski

Number of co-investigators in the project: 1

Call

OPUS 13 – announced on 2017-03-15

Amount awarded
176 000 PLN
Project start date
2018-01-15
Project end date
2023-01-14
Project duration
60 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 osobisty, tablet i drukarka. Cost: 20 000 PLN

Information in the final report

Publication in academic press/journals (12)

  1. A note on generalized Euler's formula

    Authors:
    Adam Bobrowski
    Academic press:
    Journal of Mathematical Analysis and Applications (year: 2019, volume: vol. 473, no. 2, pages: 1155-1164), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2019.01.012 – link to the publication

  2. Robin-type boundary conditions in transition from reaction-diffusion equations in 3D domains to equations in 2D domains

    Authors:
    Adam Bobrowski i Tomasz Lipniacki
    Academic press:
    Journal of Differential Equations (year: 2019, volume: 268 numer 2, pages: 239-271), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2019.08.022 – link to the publication

  3. Moran Process Version of the Tug-of-War Model: Complex Behavior Revealed by Mathematical Analysis and Simulation Studies

    Authors:
    M. Kimmel, A. Bobrowski, M. Kurpas i E. Ratajczyk
    Academic press:
    Discrete and Contiuous Dynamical Systems B (year: 2023, volume: 28 (8), pages: 4532--4563), Publisher: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcdsb.2023029 – link to the publication

  4. Isolated points of spaces of homomorphisms from ordered AL-algebras

    Authors:
    Adam Bobrowski i Wojciech Chojnacki
    Academic press:
    Dissertationes Mathematicae (year: 2022, volume: 577, pages: 25204), Publisher: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/dm845-11-2021 – link to the publication

  5. Irregular convergence of mild solutions of semilinear equations

    Authors:
    Adam Bobrowski, Markus Kunze
    Academic press:
    Journal of Mathematical Analysis and Applications (year: 2019, volume: vol. 472, no. 2, pages: 1401-1419), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2018.11.082 – link to the publication

  6. On convergence and asymptotic behaviour of semigroups of operators

    Authors:
    Adam Bobrowski and Ryszard Rudnicki
    Academic press:
    Philosophical Transactions A (year: 2020, volume: 378, issue 2185, pages: 46040), Publisher: Royal Society
    Status:
    Published
    DOI:
    10.1098/rsta.2019.0613 – link to the publication

  7. Semigroup-theoretic approach to diffusion in thin layers separated by semi-permeable membranes

    Authors:
    Adam Bobrowski
    Academic press:
    Journal of Evolution Equations (year: 2021, volume: 21, pages: 1019–1057), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00028-020-00617-7 – link to the publication

  8. A Note on Integrability of the Norm of a Perturbed Semigroup

    Authors:
    Adam Bobrowski
    Academic press:
    Results Math (year: 2020, volume: 75:105, pages: 46030), Publisher: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00025-020-01231-2 – link to the publication

  9. Modeling diffusion in thin 2D-layers separated by a semi-permeable membrane; the role of transmission conditions

    Authors:
    Adam Bobrowski
    Academic press:
    SIAM Journal on Mathematical Analysis (year: 2020, volume: 52 No 4, pages: 3222-3251), Publisher: SIAM
    Status:
    Published
    DOI:
    10.1137/19M1291443 – link to the publication

  10. On one-parameter continuous family of pairs of complementary boundary conditions

    Authors:
    Adam Bobrowski i Elżbieta Ratajczyk
    Academic press:
    Studia Mathematica (year: 2022, volume: 266(1), pages: 81-92), Publisher: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/sm210618-3-11. – link to the publication

  11. Diffusion approximation for a simple kinetic model with asymmetric interface

    Authors:
    Adam Bobrowski i Tomasz Komorowski
    Status:
    Accepted for publication

  12. Concatenation of dishonest Feller processes, exit laws, and limit theorems on graphs

    Authors:
    Adam Bobrowski
    Status:
    Accepted for publication

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Graphic design and implementation: Jakub Piotrowski