Existence of weak solution to the nonstationary Navier-Stokes equations approximated by pressure stabilization method

DOI10.1007/s00021-022-00711-5zbMath1495.76031OpenAlexW4284970564MaRDI QIDQ2154517

Hiroki Kikuchi, Ranmaru Matsui, Takayuki Kubo

Publication date: 19 July 2022

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-022-00711-5

zbMATH Keywords

uniquenessfixed point theoremfractional powermaximal regularity theoremapproximated Stokes operator

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Cites Work

• Weak solutions of Navier-Stokes equations
• Solutions in \(L_ r\) of the Navier-Stokes initial value problem
• \(L^ 2\) decay for the Navier-Stokes flow in halfspaces
• On pressure stabilization method for nonstationary Navier-Stokes equations
• Étude de diverses équations intégrales non linéaires et de quelques problèmes que pose l'hydrodynamique
• Generalized resolvent estimates for the Stokes system in bounded and unbounded domains
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet
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