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Oscillations and concentrations versus stability in the equations of mathematical fluid dynamics

Project goals

The project focuses on questions of possible singularities in the equations of mathematical fluid dynamics and their adequate description by means of weak and measure valued solutions. The main topics include:(i) dissipative solutions, (ii) admissibility criteria, (iii) equations with stochastic terms, (iv) applications in the numerical analysis.

Keywords

Navier-Stokes equationsEuler equationsweak solutionoscillationconcentrationstability

Public support

  • Provider

    Czech Science Foundation

  • Programme

    Standard projects

  • Call for proposals

    Standardní projekty 22 (SGA0201800001)

  • Main participants

    Matematický ústav AV ČR, v. v. i.

  • Contest type

    VS - Public tender

  • Contract ID

    18-05974S

Alternative language

  • Project name in Czech

    Oscilace a koncentrace proti stabilitě v rovnicích pohybu tekutin

  • Annotation in Czech

    Projekt je soustředěn na otázky výskytu singularit v rovnicích pohybu tekutin a jejich odpovídající popis v řeči slabých řešení a řešení v mírách. Hlavní témata zahrnují: (i) disipativní řešení, (ii) kriteria přípustnosti, (iii) rovnice se stochastickými členy, (iv) aplikace v numerické analýze.

Scientific branches

  • R&D category

    ZV - Basic research

  • OECD FORD - main branch

    10101 - Pure mathematics

  • OECD FORD - secondary branch

    —

  • OECD FORD - another secondary branch

    —

  • BA - General mathematics

Completed project evaluation

  • Provider evaluation

    V - Vynikající výsledky projektu (s mezinárodním významem atd.)

  • Project results evaluation

    This is a successful project. All principal goals are met, particularly in numerical analysis of compressible fluids and in analysis of approximate solutions to Euler and Navier-Stokes systems. The results are published in high quality journals, some of them quite prestigious, and some results already received a notable citation response.

Solution timeline

  • Realization period - beginning

    Jan 1, 2018

  • Realization period - end

    Dec 31, 2021

  • Project status

    U - Finished project

  • Latest support payment

    Apr 1, 2021

Data delivery to CEP

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

  • Data delivery code

    CEP22-GA0-GA-U

  • Data delivery date

    Jun 29, 2022

Finance

  • Total approved costs

    5,015 thou. CZK

  • Public financial support

    2,963 thou. CZK

  • Other public sources

    2,052 thou. CZK

  • Non public and foreign sources

    0 thou. CZK

Basic information

Recognised costs

5 015 CZK thou.

Public support

2 963 CZK thou.

59%

Provider

Czech Science Foundation

OECD FORD

Pure mathematics

Solution period

01. 01. 2018 - 31. 12. 2021

Similar projects(10)

Oscillation theory of half-linear differential and difference equations (GP201/07/P297) Qualitative properties of solutions of differential equations and their applications (GAP201/11/0768) Infinite dimensional stochastic systems (GA201/07/0237)