Global-in-time existence of weak solutions to Kolmogorov's two-equation model of turbulence

DOI10.1016/j.crma.2015.02.003zbMath1320.35262OpenAlexW2109969773MaRDI QIDQ2018269

Alexander Mielke, Joachim Naumann

Publication date: 13 April 2015

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2015.02.003

zbMATH Keywords

weak solutionsglobal existenceKolmogorov's model for turbulence

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30) Fundamentals of turbulence (76F02)

Related Items

Local in time solution to Kolmogorov's two-equation model of turbulence ⋮ Global in time solution to Kolmogorov's two-equation model of turbulence with small initial data ⋮ On two coupled degenerate parabolic equations motivated by thermodynamics ⋮ Well-posedness of the Kolmogorov two-equation model of turbulence in optimal Sobolev spaces ⋮ Parabolic turbulence k-epsilon model with applications in fluid flows through permeable media ⋮ On the existence of global‐in‐time weak solutions and scaling laws for Kolmogorov's two‐equation model for turbulence ⋮ Large data analysis for Kolmogorov's two-equation model of turbulence

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Kolmogorov’s two-equation model of turbulence
• On the Boltzmann equation for long-range interactions
• Bubbling of Approximations for the 2-D Landau-Lifshitz Flow
• The mathematical analysis of the coupling of a turbulent kinetic energy equation to the navier-stokes equation with an eddy viscosity
• On hydrodynamics of viscoelastic fluids