Well-posedness of the Kolmogorov two-equation model of turbulence in optimal Sobolev spaces
DOI10.1007/s00028-023-00914-xzbMath1527.35272arXiv2306.16014OpenAlexW4383047317MaRDI QIDQ6063044
Ophélie Cuvillier, Elena Salguero, Francesco Fanelli
Publication date: 2 December 2023
Published in: Journal of Evolution Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2306.16014
local well-posednesscommutator structuredegenerate parabolic effectKolmogorov two-equation model of turbulence
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Maximal functions, Littlewood-Paley theory (42B25) (k)-(varepsilon) modeling in turbulence (76F60) Degenerate parabolic equations (35K65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Unnamed Item
- Global-in-time existence of weak solutions to Kolmogorov's two-equation model of turbulence
- 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
- Finite time blow-up for some parabolic systems arising in turbulence theory
- Large data analysis for Kolmogorov's two-equation model of turbulence
- Mathematical and numerical foundations of turbulence models and applications
- Fourier Analysis and Nonlinear Partial Differential Equations
- Kolmogorov’s two-equation model of turbulence
- Zero Mach number limit for compressible flows with periodic boundary conditions
- Turbulence
- Turbulence in fluids.
- On two coupled degenerate parabolic equations motivated by thermodynamics
- On the existence of global‐in‐time weak solutions and scaling laws for Kolmogorov's two‐equation model for turbulence
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