Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Mathematical Fluid Mechanics

2018/29/B/ST1/00339

Keywords:

partial differential equations

Descriptors:

  • ST1_11: Partial differential equations
  • ST1_18: Control theory and optimisation
  • ST1_8: Analysis

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. Piotr Mucha 

Number of co-investigators in the project: 4

Call: OPUS 15 - announced on 2018-03-15

Amount awarded: 734 000 PLN

Project start date (Y-m-d): 2019-01-24

Project end date (Y-m-d): 2023-07-23

Project duration:: 54 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. laptop.
  2. Stacjonarny zestaw komputerowy (8 000 PLN)
  3. Projektor.
  4. ultrabook (2 szt.) (12 000 PLN)

Information in the final report

  • Publication in academic press/journals (13)
  • Book publications / chapters in book publications (1)
  1. Weak-strong uniqueness for the compressible fluid-rigid body interaction
    Authors:
    Ondřej Kreml, Šárka Nečasová, Tomasz Piasecki
    Academic press:
    Journal of Differential Equations (rok: 2020, tom: 268, strony: 4756-4785), Wydawca: Elsevier
    Status:
    Published
    DOI:
    brak - link to the publication
  2. Boussinesq system with measure forcing
    Authors:
    P.B.Mucha, L. Xue
    Academic press:
    Mathematische Annalen (rok: 2022, tom: 382, strony: 1901-1934), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00208-020-02084-4 - link to the publication
  3. On the isothermal compressible multi-component mixture flow: The local existence and maximal L p − L q regularity of solutions
    Authors:
    T. Piasecki , Y. Shibata, E. Zatorska
    Academic press:
    Nonlinear Analysis (rok: 2019, tom: 189, strony: 111571), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.na.2019.111571 - link to the publication
  4. On the maximal Lp-Lq regularity of solutions to a general linear parabolic system
    Authors:
    Piasecki, Tomasz; Shibata, Yoshihiro; Zatorska, Ewelina
    Academic press:
    Journal of Differential Equations (rok: 2020, tom: 268, strony: 3332-3369), Wydawca: Elsevier
    Status:
    Published
    DOI:
    brak - link to the publication
  5. A new construction of weak solutions to compressible Navier-Stokes equations
    Authors:
    Nilasis Chaudhuri, Piotr B. Mucha, Ewelina Zatorska
    Academic press:
    arxiv.org (rok: 2022, tom: ., strony: 17899), Wydawca: arxiv
    Status:
    Submitted
    DOI:
    brak - link to the publication
  6. Burgers' equation revisited: extension of mono-dimensional case on a network
    Authors:
    P.B. Mucha, A. Puchalska
    Academic press:
    Journal of Mathematical Fluid Mechanics (rok: 2022, tom: 24, strony: Np.112, 34pp), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00021-022-00737-9 - link to the publication
  7. Stability of the density patches problem with vacuum for incompressible inhomogeneous viscous flows
    Authors:
    Raphaël Danchin, Piotr Bogusław Mucha,Tomasz Piasecki
    Academic press:
    Annales de l'Institut Henri Poincaré C (rok: 2023, tom: ., strony: 12785), Wydawca: EMS Press
    Status:
    Published
    DOI:
    10.4171/AIHPC/83 - link to the publication
  8. Weak solutions for the Stokes system for compressible fluids with general pressure
    Authors:
    Maja Szlenk
    Academic press:
    Journal of Differential Equations (rok: 2022, tom: 312, strony: 317-346), Wydawca: Elsivier
    Status:
    Published
    DOI:
    10.1016/j.jde.2021.12.011 - link to the publication
  9. Weak solutions for the Stokes system for compressible non-Newtonian fluids with unbounded divergence
    Authors:
    Milan Pokorný, Maja Szlenk
    Academic press:
    Mathematical Methods in the Applied Sciences (rok: 2023, tom: 46, strony: 9736-9750), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/mma.9083 - link to the publication
  10. Compressible Navier-Stokes equations with ripped density
    Authors:
    Raphael Danchin, Piotr BogusŁaw Mucha
    Academic press:
    Communications on Pure and Applied Mathematics (rok: 2023, tom: ., strony: 20455), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/cpa.22116 - link to the publication
  11. Maximal regularity for compressible two-fluid system
    Authors:
    T. Piasecki, E. Zatorska
    Academic press:
    Journal of Mathematical Fluid Mechanics (rok: 2022, tom: 24, strony: No.39. 23pp.), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00021-022-00671-w - link to the publication
  12. Reacting multi-component fluids: regular solutions in Lorentz spaces
    Authors:
    P.B.Mucha, T. Piasecki
    Academic press:
    Journal of Mathematical Fluid Mechanics (rok: 2022, tom: 24, strony: No.37, 21pp), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00021-022-00670-x - link to the publication
  13. Free Boundary Problems by/via Da Prato–Grisvard Theory
    Authors:
    Raphael Danchin, Matthias Hieber, Piotr B. Mucha, Patrick Tolksdorf
    Academic press:
    Memoirs of the American Mathematical Society (rok: 2023, ), Wydawca: American Mathematical Society
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  1. Compressible Navier-Stokes System on a Moving Domain in the L p − L q Framework
    Authors:
    Ondřej Kreml, Šárka Nečasová, Tomasz Piasecki
    Book:
    Waves in Flows, Advances in Mathematical Fluid Mechanics (rok: 2021, tom: 1, strony: 127-158), Wydawca: Springer
    Status:
    Published

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