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Mathematical Fluid Mechanics

2018/29/B/ST1/00339

Keywords

Descriptors

  • ST1_11: Równania różniczkowe cząstkowe
  • ST1_18: Zastosowania matematyki w innych naukach
  • ST1_8: Analiza

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)

prof. Piotr Bogusław 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
2019-01-24
Project end date
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. Projektor.
  2. Stacjonarny zestaw komputerowy. Cost: 8 000 PLN
  3. laptop.
  4. ultrabook (2 pcs). Cost: 12 000 PLN

Information in the final report

Publication in academic press/journals (12)

  1. Reacting multi-component fluids: regular solutions in Lorentz spaces

    Authors:
    P.B.Mucha, T. Piasecki
    Academic press:
    Journal of Mathematical Fluid Mechanics (year: 2022, volume: 24, pages: No.37, 21pp), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00021-022-00670-x – link to the publication

  2. Boussinesq system with measure forcing

    Authors:
    P.B.Mucha, L. Xue
    Academic press:
    Mathematische Annalen (year: 2022, volume: 382, pages: 1901-1934), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00208-020-02084-4 – link to the publication

  3. Weak solutions for the Stokes system for compressible fluids with general pressure

    Authors:
    Maja Szlenk
    Academic press:
    Journal of Differential Equations (year: 2022, volume: 312, pages: 317-346), Publisher: Elsivier
    Status:
    Published
    DOI:
    10.1016/j.jde.2021.12.011 – link to the publication

  4. Compressible Navier-Stokes equations with ripped density

    Authors:
    Raphael Danchin, Piotr BogusŁaw Mucha
    Academic press:
    Communications on Pure and Applied Mathematics (year: 2023, volume: ., pages: 20455), Publisher: Wiley
    Status:
    Published
    DOI:
    10.1002/cpa.22116 – link to the publication

  5. Weak-strong uniqueness for the compressible fluid-rigid body interaction

    Authors:
    Ondřej Kreml, Šárka Nečasová, Tomasz Piasecki
    Academic press:
    Journal of Differential Equations (year: 2020, volume: 268, pages: 4756-4785), Publisher: Elsevier
    Status:
    Published

  6. Maximal regularity for compressible two-fluid system

    Authors:
    T. Piasecki, E. Zatorska
    Academic press:
    Journal of Mathematical Fluid Mechanics (year: 2022, volume: 24, pages: No.39. 23pp.), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00021-022-00671-w – link to the publication

  7. Burgers' equation revisited: extension of mono-dimensional case on a network

    Authors:
    P.B. Mucha, A. Puchalska
    Academic press:
    Journal of Mathematical Fluid Mechanics (year: 2022, volume: 24, pages: Np.112, 34pp), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00021-022-00737-9 – link to the publication

  8. 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 (year: 2020, volume: 268, pages: 3332-3369), Publisher: Elsevier
    Status:
    Published

  9. 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 (year: 2023, volume: ., pages: 12785), Publisher: EMS Press
    Status:
    Published
    DOI:
    10.4171/AIHPC/83 – link to the publication

  10. 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 (year: 2019, volume: 189, pages: 111571), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.na.2019.111571 – link to the publication

  11. 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 (year: 2023, volume: 46, pages: 9736-9750), Publisher: Wiley
    Status:
    Published
    DOI:
    10.1002/mma.9083 – link to the publication

  12. Free Boundary Problems by/via Da Prato–Grisvard Theory

    Authors:
    Raphael Danchin, Matthias Hieber, Piotr B. Mucha, Patrick Tolksdorf
    Status:
    Accepted for publication

Book publications / chapters in book publications (1)

  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 (year: 2021, volume: 1, pages: 127-158), Publisher: Springer
    Status:
    Published

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