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Information of the project and the call

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Basic systems of fluid mechanics. Regularity, stability, structure of solutions.

2014/14/M/ST1/00108

Keywords:

.

Descriptors:

  • ST1_11: Partial differential equations

Panel:

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

Host institution :

Instytut Matematyczny PAN

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: 7

Call: HARMONIA 6 - announced on 2014-06-16

Amount awarded: 468 000 PLN

Project start date (Y-m-d): 2015-04-14

Project end date (Y-m-d): 2018-11-13

Project duration:: 43 months (the same as in the proposal)

Project status: Project settled

Information in the final report

  • Publication in academic press/journals (20)
  1. BETWEEN HOMOGENEOUS AND INHOMOGENEOUS NAVIER-STOKES SYSTEMS: THE ISSUE OF STABILITY
    Authors:
    PIOTR B. MUCHA, LIUTANG XUE, AND XIAOXIN ZHENG
    Academic press:
    Journal of Differential Equations (rok: 2019, tom: 267, strony: 307-363), Wydawca: SciDirect
    Status:
    Published
    DOI:
    brak - link to the publication
  2. COMPRESSIBLE NAVIER-STOKES SYSTEM : LARGE SOLUTIONS AND INCOMPRESSIBLE LIMIT
    Authors:
    RAPHAËL DANCHIN AND PIOTR BOGUS LAW MUCHA
    Academic press:
    Advances in Mathematics (rok: 2017, tom: 320, strony: 904-925), Wydawca: Elsevier
    Status:
    Published
    DOI:
    brak - link to the publication
  3. From compressible to incompressible inhomogeneous flows in the case of large data
    Authors:
    Raphaël Danchin and Piotr Bogusław Mucha
    Academic press:
    Tunisian Journal of Mathematics (rok: 2019, tom: 1, strony: 127-149), Wydawca: MSP
    Status:
    Published
    DOI:
    10.2140/tunis.2019.1.127 - link to the publication
  4. On steady solutions to a model of chemically reacting heat conducting compressible mixture with slip boundary conditions
    Authors:
    Tomasz Piasecki and Milan Pokorný
    Academic press:
    Contemporary Mathematics (rok: 2018, tom: 710, strony: 223-242), Wydawca: AMS
    Status:
    Published
    DOI:
    brak - link to the publication
  5. Stabilizing the Long-time Behavior of the Navier-Stokes Equations and Damped Euler Systems by Large Mean Flow
    Authors:
    J.Cyranka, P.B.Mucha, E.T.Titi,P.Zgliczynski
    Academic press:
    Physica D. Nonlinear Phenomena (rok: 2018, tom: 369, strony: 18-29), Wydawca: SciDirect
    Status:
    Published
    DOI:
    brak - link to the publication
  6. FROM THE HIGHLY COMPRESSIBLE NAVIER-STOKES EQUATIONS TO THE POROUS MEDIUM EQUATION -- RATE OF CONVERGENCE
    Authors:
    B.Haspot, E.Zatorska
    Academic press:
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (A) (rok: 2016, tom: 36,6, strony: 3107-3123), Wydawca: AIMS
    Status:
    Published
    DOI:
    10.3934/dcds.2016.36.3107 - link to the publication
  7. Incompressible limit of the Navier—Stokes model with a growth term
    Authors:
    Nicolas Vauchelet, Ewelina Zatorska
    Academic press:
    Nonlinear Analysis (rok: 2017, tom: 163, strony: 34-59), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.na.2017.07.003 - link to the publication
  8. On strong dynamics of compressible two-component mixture flow
    Authors:
    Tomasz PIASECKI, Yoshihiro SHIBATA and Ewelina ZATORSKA
    Academic press:
    SIAM Journal on Mathematical Analysis (rok: 2019, tom: 51, strony: 2793-2849), Wydawca: SIAM
    Status:
    Published
    DOI:
    brak - link to the publication
  9. On the pressureless damped Euler–Poisson equations with quadratic confinement: Critical thresholds and large-time behavior
    Authors:
    Jose A. Carrillo, Young-Pil Choi, Ewelina Zatorska
    Academic press:
    Mathematical Models and Methods in Applied Sciences (rok: 2016, tom: 26, strony: 2311-2340), Wydawca: World Scientific Publishing Company
    Status:
    Published
    DOI:
    10.1142/S0218202516500548 - link to the publication
  10. Steady transport equation in Sobolev-Slobodetskii spaces
    Authors:
    T.Piasecki
    Academic press:
    Colloquium Mathematicum (rok: 2018, tom: 154, strony: 65-76), Wydawca: IMAPN
    Status:
    Published
    DOI:
    brak - link to the publication
  11. Finite-Energy Solutions for Compressible Two-Fluid Stokes System
    Authors:
    Didier Bresch , Piotr B. Mucha & Ewelina Zatorska
    Academic press:
    Arch. Rational Mech. Anal. (rok: 2018, tom: x, strony: 15707), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00205-018-01337-z - link to the publication
  12. Local existence of strong solutions and weak-strong uniqueness for the compressible Navier-Stokes system on moving domains
    Authors:
    Ondřej Kreml, Šárka Nečasová,Tomasz Piasecki
    Academic press:
    Proceedings of the Royal Society of Edinburgh, (rok: 2019, tom: ., strony: 16803), Wydawca: RSE
    Status:
    Published
    DOI:
    10.1017/prm.2018.165 - link to the publication
  13. Weak and variational entropy solutions to the system describing steady flow of a compressible reactive mixture
    Authors:
    Tomasz Piasecki , Milan Pokorný
    Academic press:
    Nonlinear Analysis (rok: 2016, ), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.na.2016.12.015 - link to the publication
  14. A construction of two different solutions to an elliptic system
    Authors:
    J.Cyranka, P.B.Mucha
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2018, tom: 465, strony: 500-530), Wydawca: SciDirect
    Status:
    Published
    DOI:
    brak - link to the publication
  15. On singular limits arising in the scale analysis of stratified fluid flows
    Authors:
    E.Feireisl, R.Klein, A.Novotny, E.Zatorska
    Academic press:
    Mathematical Models and Methods in Applied Sciences (rok: 2016, tom: 26,3, strony: 419-443), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S021820251650007X - link to the publication
  16. STEADY SOLUTIONS TO VISCOUS SHALLOW WATER EQUATIONS. THE CASE OF HEAVY WATER
    Authors:
    S AXMANN, PIOTR B MUCHA, M POKORNY
    Academic press:
    COMMUN. MATH. SCI. (rok: 2017, tom: 15, strony: 1385--1402), Wydawca: International Press
    Status:
    Published
    DOI:
    brak - link to the publication
  17. The Incompressible Navier-Stokes Equations in Vacuum
    Authors:
    RAPHAËL DANCHIN,PIOTR BOGUSŁAW MUCHA
    Academic press:
    Communications on Pure and Applied Mathematics (rok: 2019, tom: 7, strony: 1351-1385), Wydawca: Wiley
    Status:
    Published
    DOI:
    brak - link to the publication
  18. Existence and Uniqueness of Strong Stationary Solutions
    Authors:
    Ondřej Kreml, Piotr B. Mucha, and Milan Pokorný
    Academic press:
    in : Handbook of Mathematical Analysis in Mechanics of Viscous Fluids (rok: 2016, tom: 1, strony: 19725), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/978-3-319-10151-4_65-1 - link to the publication
  19. Existence of weak solutions for compressible Navier–Stokes equations with entropy transport
    Authors:
    David Maltese, Martin Michálek , Piotr B. Mucha , Antonin Novotný, Milan Pokorný , Ewelina Zatorska
    Academic press:
    J. Differential Equations (rok: 2016, tom: 261, strony: 4448-4485), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2016.06.029 - link to the publication
  20. Regular solutions to the fractional Euler alignment system in the Besov spaces framework
    Authors:
    Raphaël Danchin, Piotr B. Mucha, Jan Peszek, Bartosz Wróblewski
    Academic press:
    Mathematical Models and Methods in Applied Sciences (rok: 2019, tom: x, strony: 45322), Wydawca: World Scientific Publishing Company
    Status:
    Published
    DOI:
    10.1142/S0218202519500040 - link to the publication

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