Work

Local Well‐Posedness of Kolmogorov'S Two‐Equation Model of Turbulence in Fractional Sobolev Spaces

Year: 2024

Type: article

Abstract: ABSTRACT We study Kolmogorov's two‐equation model of turbulence on ‐dimensional torus. First, the local existence of the solution with the initial data from non‐homogeneous fractional Sobolev spaces (Bessel potential spaces) with is proven using energy methods. Next, we show that solutions are unique in the class of solutions guaranteed by the local existence theorem.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.10643

Author: Przemysław Kosewski

Institution: Warsaw University of Technology

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Politechnika Warszawska

OpenAlex ID: W4405724089

FWCI:

Cites: 27

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Related to: 10