Zmiana języka

Projects search

Rigorous numerics for dissipative PDEs and delay equations

2011/03/B/ST1/04780

Keywords

Descriptors

  • ST1_16: Analiza numeryczna i obliczenia naukowe
  • ST1_11: Równania różniczkowe cząstkowe

Panel

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

Host institution

WYŻSZA SZKOŁA BIZNESU - NATIONAL LOUIS UNIVERSITY NOWY SĄCZ

Voivodeship: małopolskie

Other projects carried out by the institution »

Principal investigator (from the host institution)

prof. Piotr Zgliczyński

Number of co-investigators in the project: 5

Call

OPUS 2 – announced on 2011-09-15

Amount awarded
231 380 PLN
Project start date
2012-08-07
Project end date
2015-08-06
Project duration
36 months (the same as in the proposal)
Project status
Project settled

Information in the final report

Publication in academic press/journals (9)

  1. Existence of Periodic Solutions of the FitzHugh-Nagumo Equations for An Explicit Range of the Small Parameter

    Authors:
    Aleksander Czechowski, Piotr Zgliczynski
    Academic press:
    SIAM Journal on Applied Dynamical Systems (year: 2016, volume: 15, pages: 1615–1655), Publisher: SIAM Publications
    Status:
    Published
    DOI:
    10.1137/15M1007707 – link to the publication

  2. Existence of globally attracting solutions for one-dimensional viscous Burgers equation with nonautonomous forcing - a computer assisted proof

    Authors:
    Jacek Cyranka, Piotr Zgliczyński
    Academic press:
    SIAM Journal of Applied Dynamical Systems (year: 2015, volume: 14, pages: 787--821), Publisher: SIAM
    Status:
    Published
    DOI:
    10.1137/14096699X – link to the publication

  3. Rigorous numerics for PDEs with indefinite tail: existence of a periodic solution of the Boussinesq equation with time-dependent forcing

    Authors:
    Aleksander Czechowski, Piotr Zgliczyński
    Academic press:
    Schedae Informaticae (year: 2015, volume: 24, pages: 143--158), Publisher: Uniwersytet Jagielloński
    Status:
    Published
    DOI:
    10.4467/20838476SI.15.014.3486 – link to the publication

  4. Stabilizing effect of large average initial velocity in forced dissipative PDEs invariant with respect to Galilean transformations

    Authors:
    Jacek Cyranka, Piotr Zgliczynski
    Academic press:
    Journal of Differential Equations (year: 2016, volume: 261, pages: 4648--4708), Publisher: ACADEMIC PRESS INC ELSEVIER SCIENCE
    Status:
    Published
    DOI:
    10.1016/j.jde.2016.07.007 – link to the publication

  5. Algorithm for rigorous integration of Delay Differential Equations and the computer-assisted proof of periodic orbits in the Mackey-Glass equation

    Authors:
    Robert Szczelina i Piotr Zgliczyński
    Academic press:
    Foundatations of Computational Mathematics (year: 2018, volume: 18, pages: 1299--1332), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s10208-017-9369-5 – link to the publication

  6. Shadowing of non-transversal heteroclinic chains

    Authors:
    Amadeu Delshams, Adria Simon, Piotr Zgliczyński
    Academic press:
    Journal of Differential Equations (year: 2018, volume: 264, pages: 3619–-3663), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2017.11.024 – link to the publication

  7. Stabilizing the Long-time Behavior of the Navier-Stokes Equations and Damped Euler Systems by Large Mean Flow

    Authors:
    Jacek Cyranka, Piotr B Mucha, Edriss S Titi, Piotr Zgliczyński
    Academic press:
    Physica D (year: 2018, volume: 369, pages: 18–-29), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physd.2017.12.010 – link to the publication

  8. Stabilizing effect of large average initial velocity in forced dissipative PDEs invariant with respect to Galilean transformations

    Authors:
    Jacek Cyranka i Piotr Zgliczynski
    Academic press:
    Journal of Differential Equations (year: 2016, volume: 261, pages: 4648--4708), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2016.07.007 – link to the publication

  9. Connecting Orbits for a Singular Nonautonomous Real Ginzburg-Landau Type Equation

    Authors:
    Daniel Wilczak, Piotr Zgliczyński
    Academic press:
    SIAM Journal on Applied Dynamical Systems (year: 2016, volume: 15, pages: 495-525), Publisher: SIAM
    Status:
    Published
    DOI:
    10.1137/15M1015558 – link to the publication

« New search

Graphic design and implementation: Jakub Piotrowski