Oskolkov Equations and Thermal Convection
Springer International Publishing (Verlag)
978-3-032-17136-8 (ISBN)
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This monograph offers an overview of the active research area involving the class of PDEs known as Oskolkov equations. The author's analysis of these equations concentrates on thermal convection in a layer of incompressible fluid. Readers will learn how the Navier-Stokes equations, the Kelvin-Voigt equations, and the Navier-Stokes-Voigt equations are special cases of the generalized Oskolkov system. Thermal convection and double-diffusive convection are studied in Navier-Stokes-Voigt fluids and in various Kelvin-Voigt and Oskolkov fluids. Cutting edge research is included on magnetohydrodynamic convection in a Navier-Stokes-Voigt fluid and in a Kelvin-Voigt fluid of order one.
Oskolkov Equations and Thermal Convection will serve as a timely resource for students and researchers interested in this active topic, as well as those studying the broader area of fluid dynamics.
Introduction.- The Navier-Stokes Equations.- Navier-Stokes-Voigt Equations.- Navier-Stokes-Voigt Equations, further problems.- Kelvin-Voigt Equations.- Oskolkov Equations.- Magnetohydrodynamic Convection.- Oskolkov Equations in Porous Media.- Further Developments in Porous Media Equations.
| Erscheint lt. Verlag | 21.3.2026 |
|---|---|
| Reihe/Serie | Advances in Continuum Mechanics | Advances in Mechanics and Mathematics |
| Zusatzinfo | VIII, 236 p. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Mechanik |
| Schlagworte | Bidisperse porous media • Christov heat flow theory • Kelvin-Voigt fluids • Magnetohydrodynamic convection • Mathematical fluid mechanics • navier-stokes equations • Navier-Stokes-Voigt equations • Oskolkov equations • Porous Media Equations • thermal convection • Thermodynamic derivation • Thermosolutal convection • variable viscosity |
| ISBN-10 | 3-032-17136-9 / 3032171369 |
| ISBN-13 | 978-3-032-17136-8 / 9783032171368 |
| Zustand | Neuware |
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