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On some recent results from the theory of MHD equations

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00575330" target="_blank" >RIV/67985840:_____/23:00575330 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/978-3-031-27625-5_6" target="_blank" >http://dx.doi.org/10.1007/978-3-031-27625-5_6</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-031-27625-5_6" target="_blank" >10.1007/978-3-031-27625-5_6</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On some recent results from the theory of MHD equations

  • Original language description

    This chapter shows the main ideas of the derivation of the MHD and Hall-MHD equations (Sect. 1) and provides a brief survey of qualitative properties of these equations (Sect. 2). Some results that concern the role of the pressure in the theory of the MHD equations are presented in Sect. 3, and one local regularity criterion for suitable weak solutions to the MHD equations, which uses the behavior of the L3-norm of the velocity and the magnetic field as t approaches the hypothetic singular time t0, is presented in Sect. 4.

  • Czech name

  • Czech description

Classification

  • Type

    C - Chapter in a specialist book

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GC22-08633J" target="_blank" >GC22-08633J: Qualitative Theory of the MHD and Related Equations</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2023

  • Confidentiality

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

Data specific for result type

  • Book/collection name

    Fluids Under Control

  • ISBN

    978-3-031-27624-8

  • Number of pages of the result

    27

  • Pages from-to

    171-197

  • Number of pages of the book

    359

  • Publisher name

    Birkhäuser

  • Place of publication

    Cham

  • UT code for WoS chapter