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The role of pressure in the theory of weak solutions to the Navier-Stokes equations

Name: The Role of Pressure in the Theory of Weak Solutions to the Navier-Stokes Equations
Creator: Neustupa, J. (Jiří)
Keywords: viscous incompressible fluid, associated pressure, weak solutions, Navier-Stokes equations

descriptionPublicationkeyboard_double_arrow_right Other literature type , Part of book or chapter of book 01 Jan 2020 Czech Republic Publisher:Springer International Publishing

Authors: Neustupa, J. (Jiří);

doi: 10.1007/978-3-030-39639-8_4

handle: 11104/0308516

The role of pressure in the theory of weak solutions to the Navier-Stokes equations

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Abstract

Sections 4.1 and 4.2 contain an introduction, notation and definitions and basic properties of used function spaces and operators. A pressure, associated with a weak solution to the Navier-Stokes equations for incompressible fluid, is constructed in Sect. 4.3. The interior regularity of the pressure in regions, where the velocity satisfies Serrin’s integrability conditions, is studied in Sect. 4.4. Finally, Sect. 4.5 is devoted to criteria of regularity for weak solutions to the Navier-Stokes equations, formulated in terms of the pressure.

Country

Czech Republic

Related Organizations

Czech Academy of Sciences
Czech Republic
Academy of Sciences Library
Czech Republic

Keywords

viscous incompressible fluid, associated pressure, weak solutions, Navier-Stokes equations

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