On a certain system of degenerate parabolic equations which arises in hydrodynamics

DOI10.1007/BF02106610zbMath0861.35079MaRDI QIDQ1920790

Vladimir N. Grebenev

Publication date: 19 May 1997

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

self-similar solutionsenergy dissipationturbulent energy\(k\)-\(\varepsilon\) model of turbulence

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Shear flows and turbulence (76F10) Degenerate parabolic equations (35K65)

Related Items (3)

On new stability modes of plane canonical shear flows using symmetry classification ⋮ Symmetry analysis in linear hydrodynamic stability theory: Classical and new modes in linear shear ⋮ Unnamed Item

Cites Work

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• The Behavior of the Support of Solutions of the Equation of Nonlinear Heat Conduction with Absorption in One Dimension
• Asymptotic Behaviour and Propagation Properties of the One-Dimensional Flow of Gas in a Porous Medium
• A System of Degenerate Parabolic Equations
• On the support properties of solutions for some degenerate quasilinear parabolic systems
• Stabilization of solutions of a degenerate nonlinear diffusion problem
• The One-Dimensional Nonlinear Heat Equation with Absorption: Regularity of Solutions and Interfaces
• The Porous Medium Equation in One Dimension

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