An approximate layering method for the Navier-Stokes equations in bounded cylinders

DOI10.1007/BF01781075zbMath0552.76030OpenAlexW1998420915MaRDI QIDQ801754

Eugene B. Fabes, Avron Douglis, Giovanni Alessandrini

Publication date: 1983

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01781075

zbMATH Keywords

integral representationconvergence of approximate solutionlayering methodsemigroup-operator

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)

Related Items

Lower and upper bounds to the change of vorticity by transition from slip- to no-slip fluid flow, Viscosity splitting method for three dimensional Navier-Stokes equations, Viscous Splitting for the Unbounded Problem of the Navier-Stokes Equations, Convergence of Chorin-Marsden product formula in the half-plane

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Navier-Stokes initial value problem in \(L^ p\).
• Analyticity of the semigroup generated by the Stokes operator in \(L_r\) spaces
• On the Euler equations of incompressible perfect fluids
• On uniqueness questions in the theory of viscous flow
• Remarks on the Euler equation
• Groups of diffeomorphisms and the motion of an incompressible fluid
• The initial value problem for the Navier-Stokes equations with data in L\(^p\)
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Product formulas and numerical algorithms
• Boundary Value Problems for the Navier-Stokes Equations
• A formula for the solution of the Navier-Stokes equations based on a method of Chorin