A direct construction of very smooth local Navier-Stokes solutions

DOI10.1007/BF00995138zbMath0814.35098OpenAlexW2055071181MaRDI QIDQ1341897

Reimund Rautmann

Publication date: 11 January 1995

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00995138

zbMATH Keywords

Galerkin approximationsNavier-Stokes initial boundary-value problemoptimum convergence without compatibility condition

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Theoretical approximation in context of PDEs (35A35)

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Solutions in \(L_ r\) of the Navier-Stokes initial value problem
• Teoremi di tipo locale per il sistema di Navier-Stokes e stabilita delle soluzioni stazionarie
• On nonstationary solutions of the Navier-Stokes equations in an exterior domain
• On the Navier-Stokes initial value problem. I
• On the nonstationary Navier-Stokes systems
• Su un problema al contorno relativo al sistema di equazioni di Stokes
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
• H2-convergence of Rothe's scheme to the Navier-Stokes equations
• Estimates of the solutions of a nonstationary linearized system of Navier-Stokes equations
• On fractional powers of the Stokes operator
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