Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Heat convection in incompressible fluids

2017/25/B/ST1/00302

Keywords:

heat convection Nusselt number Maxwell -- Cattaneo law global attractor incompressible fluids Rayleigh -- Benard problem

Descriptors:

  • ST1_11: Partial differential equations
  • ST1_12: Mathematical methods of physics
  • ST1_10: Ordinary differential equations and dynamical systems

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

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Grzegorz Łukaszewicz 

Number of co-investigators in the project: 2

Call: OPUS 13 - announced on 2017-03-15

Amount awarded: 397 400 PLN

Project start date (Y-m-d): 2018-02-06

Project end date (Y-m-d): 2023-02-05

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. Tablet (2 szt.) (6 000 PLN)
  2. Apple MacBook Pro 13".
  3. Notebook PC (5 000 PLN)

Information in the final report

  • Publication in academic press/journals (20)
  • Articles in post-conference publications (1)
  1. On relation between single and multivalued semiflows and their attractors for two problems
    Authors:
    Piotr Kalita, Grzegorz Łukaszewicz, Jakub Siemianowski
    Academic press:
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B (rok: 2019, tom: 24, strony: 1199-1227), Wydawca: AIMS
    Status:
    Published
    DOI:
    10.3934/dcdsb.2019012 - link to the publication
  2. Rigorous FEM for 1D Burgers equation
    Authors:
    Piotr Kalita, Piotr Zgliczyński
    Academic press:
    SIAM Journal on Applied Dynamical Systems (rok: 2021, tom: 20, strony: 853-907), Wydawca: Society for Industrial and Applied Mathematics
    Status:
    Published
    DOI:
    10.1137/20M1338216 - link to the publication
  3. Statistical solution and partial degenerate regularity for the 2D non-autonomous magneto-micropolar fluids
    Authors:
    C.Zhao, Y.Li, G.Łukaszewicz
    Academic press:
    Z. Angew. Math. Phys. (rok: 2020, tom: 71, strony: 45315), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00033-020-01368-8 - link to the publication
  4. Statistical solutions and degenerate regularity for the non-Newtonian micropolar fluids
    Authors:
    Zhao Caidi, Yongkang Zhang, Tomas Caraballo, Grzegorz Lukaszewicz
    Academic press:
    Mathematical Methods in the Applied Sciences , Wydawca: Wiley
    Status:
    Accepted for publication
    DOI:
    10.1002/mma.9123 - link to the publication
  5. Micropolar meets Newtonian. The Rayleigh–Bénard problem
    Authors:
    Piotr Kalita, Jose A. Langa, Grzegorz Łukaszewicz
    Academic press:
    PHYSICA D-NONLINEAR PHENOMENA (rok: 2019, tom: 392, strony: 57-80), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physd.2018.12.004 - link to the publication
  6. Structural stability of invasion graphs for generalized Lotka--Volterra systems
    Authors:
    Pablo Almaraz, Piotr Kalita, Jose Antonio Langa,
    Academic press:
    Journal of Mathematical Biology , Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication
  7. Long-time behavior for impulsive generalized semiflows
    Authors:
    Everaldo de Mello Bonotto, Piotr Kalita
    Academic press:
    Nonlinear Analysis: Hybrid Systems (rok: 2024, tom: 51, strony: 101423), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.nahs.2023.101432 - link to the publication
  8. On attractors of generalized semiflows with impulses
    Authors:
    Everaldo de Mello Bonotto, Piotr Kalita
    Academic press:
    The Journal of Geometric Analysis (rok: 2020, tom: 30, strony: 1412-1449), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s12220-019-00143-0 - link to the publication
  9. On non-autonomously forced Burgers equation with periodic and Dirichlet boundary conditions
    Authors:
    Piotr Kalita, Piotr Zgliczyński
    Academic press:
    Proc. A Royal Soc. Edinburgh (rok: 2020, tom: 150, strony: 2025-2054), Wydawca: The Royal Society of Edinburgh
    Status:
    Published
    DOI:
    10.1017/prm.2019.11 - link to the publication
  10. Autonomous and Non-autonomous Unbounded Attractors in Evolutionary Problems
    Authors:
    Jakub Banaśkiewicz, Alexandre Nolasco de Carvalho, Juan Garcia-Fuentes, Piotr Kalita
    Academic press:
    Journal of Dynamics and Differential Equations , Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    10.1007/s10884-022-10239-x - link to the publication
  11. Informational Structures and Informational Fields as a prototype for the description of postulates of the Integrated Information Theory
    Authors:
    Piotr Kalita, Jose Antonio Langa, Fernando Soler-Toscano
    Academic press:
    Entropy (rok: 2019, tom: 21, strony: 493), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/e21050493 - link to the publication
  12. Micropolar meets Newtonian in 3D. The Rayleigh–Bénard problem for large Prandtl numbers
    Authors:
    P.Kalita, G.Łukaszewicz
    Academic press:
    Nonlinearity (rok: 2020, tom: 33, strony: 5686–5732), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1088/1361-6544/ab9729 - link to the publication
  13. On dynamic contact problem with generalized Coulomb friction, normal compliance and damage
    Authors:
    Leszek Gasiński, Piotr Kalita
    Academic press:
    Evolution Equations and Control Theory (rok: 2020, tom: 9, strony: 1009-1026), Wydawca: AIMS
    Status:
    Published
    DOI:
    10.3934/eect.2020049 - link to the publication
  14. Computer-assisted validation of the existence of periodic orbit in the Brusselator system
    Authors:
    Jakub Banaskiewicz, Piotr Kalita, Piotr Zgliczyński
    Academic press:
    Advances in Differential Equations , Wydawca: Khayyam Publishing
    Status:
    Submitted
    DOI:
    brak - link to the publication
  15. A frictional contact problem with wear diffusion
    Authors:
    Piotr Kalita, Pawel Szafraniec, Meir Shillor
    Academic press:
    Zeitschrift für angewandte Mathematik und Physik (rok: 2019, tom: 70, strony: Article number: 96), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00033-019-1141-z - link to the publication
  16. Asymptotic analysis of the thermomicropolar fluid flow through a thin channel with cooling
    Authors:
    G.Łukaszewicz, I.Pazanin, M.Radulovic
    Academic press:
    Applicable Analysis (rok: 2022, tom: 101, strony: 3141-3169), Wydawca: Taylor and Francis
    Status:
    Published
    DOI:
    10.1080/00036811.2020.1836353 - link to the publication
  17. Convergence of non-autonomous attractors for subquintic weakly damped wave equation
    Authors:
    Jakub Banaśkiewicz, Piotr Kalita
    Academic press:
    Applied Mathematics and Optimization (rok: 2021, tom: 84, strony: 943-978), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00245-021-09790-8 - link to the publication
  18. Statistical solution and Liouville type theorem for the Klein-Gordon-Schrödinger equations
    Authors:
    Caidi Zhao, Tomás Caraballo , Grzegorz Łukaszewicz
    Academic press:
    Journal of Differential Equations (rok: 2021, tom: 281, strony: 11689), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2021.01.039 - link to the publication
  19. Vertical heat transport at infinite Prandtl number for micropolar fluid
    Authors:
    M. Caggio, P. Kalita, G. Łukaszewicz, K.A. Mizerski
    Academic press:
    Archievs of Mechanics (rok: 2020, tom: 72, strony: 525--553), Wydawca: Polish Academy of Sciences, Institute of Fundamental Technological Research
    Status:
    Published
    DOI:
    10.24423/aom.3598 - link to the publication
  20. Characterization of attractors for non-autonomous Lotka-Volterra cooperative systems
    Authors:
    Juan Garcia-Fuentes, Piotr Kalita, Jose Antonio Langa, Antonio Suarez
    Academic press:
    Applied Mathematics and Computation , Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  1. Nonlinear semigrous and their perturbations in hydrodynamics. Three examples.
    Authors:
    Piotr Kalita, Grzegorz Łukaszewicz, Jakub Siemianowski
    Conference:
    Semigroups of Operators: Theory and Applications (rok: 2020, ), Wydawca: Springer
    Data:
    konferencja 30.09.2018 - 05.10.2018
    Status:
    Published

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