Periodic solutions to the Navier-Stokes equation for a viscous incompressible fluid and gas in space \({\mathbb{R}}^n \)

DOI10.3103/s0278641923010028OpenAlexW4386543112MaRDI QIDQ6060633

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Publication date: 3 November 2023

Published in: Moscow University Computational Mathematics and Cybernetics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0278641923010028

zbMATH Keywords

uniquenessLagrangian variablesfrequency synchronizationglobal-in-time existencesteady-state condition

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Liquid-gas two-phase flows, bubbly flows (76T10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Cites Work

• On the behavior of an incompressible fluid velocity field at infinity
• On the strong solvability of the Navier-Stokes equations
• Mathematical problems for the next century
• On Landau's solutions of the Navier-Stokes equations
• L^p-Solutions of the Steady-State Navier–Stokes Equations with Rough External Forces
• Partial regularity of suitable weak solutions of the navier-stokes equations
• Asymptotic behaviour of solutions to the stationary Navier–Stokes equations in two-dimensional exterior domains with zero velocity at infinity
• Well-posedness for the Navier-Stokes equations
• On steady Stokes and Navier-Stokes problems with zero velocity at infinity in a three-dimensional exterior domain
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