Existence of regular solutions to the stationary Navier-Stokes equations

DOI10.1007/BF01444513zbMath0861.35074MaRDI QIDQ1898857

Jens Frehse, Michael Ružička

Publication date: 8 November 1995

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165349

zbMATH Keywords

potential estimatesstructure of the nonlinearitydegree argumentregularity of solutions to the stationary Navier-Stokes equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Navier-Stokes equations (35Q30)

Related Items

Partially regular weak solutions of the stationary Navier-Stokes equations in dimension 6 ⋮ Regular solutions of the stationary Navier-Stokes equations on high dimensional Euclidean space ⋮ Partially regular weak solutions of the Navier-Stokes equations in \(\mathbb{R}^4 \times [0,\infty[\) ⋮ Self-similar solutions of stationary Navier-Stokes equations ⋮ Boundary regularity criteria for the 6D steady Navier-Stokes and MHD equations ⋮ Stationary solutions and nonuniqueness of weak solutions for the Navier-Stokes equations in high dimensions ⋮ Existence and regularity of steady-state solutions of the Navier-Stokes equations arising from irregular data ⋮ A unified proof on the partial regularity for suitable weak solutions of non-stationary and stationary Navier-Stokes equations ⋮ Asymptotics of stationary Navier Stokes equations in higher dimensions ⋮ Existence, uniqueness and regularity of stationary solutions to inhomogeneous Navier-Stokes equations in ℝ n ⋮ Sobolev regular solutions for the incompressible Navier-Stokes equations in higher dimensions: asymptotics and representation formulae ⋮ On Type I Singularities of the Local Axi-Symmetric Solutions of the Navier–Stokes Equations ⋮ Unnamed Item ⋮ Interior and boundary regularity criteria for the 6D steady Navier-Stokes equations ⋮ On the Steady Non-Newtonian Fluids in Domains with Noncompact Boundaries

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On two-dimensional quasi-linear elliptic systems
• Regular solutions of the stationary Navier-Stokes equations on \(\mathbb{R}^ 5\)
• Hölder continuity of solutions of elliptic systems
• On partial regularity results for the navier-stokes equations
• Degree of Mapping in Convex Linear Topological Spaces