Necessary and sufficient conditions on local strong solvability of the Navier–Stokes system
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Publication:3081418
DOI10.1080/00036811003735881zbMath1209.35096OpenAlexW2016855110MaRDI QIDQ3081418
Hermann Sohr, Reinhard Farwig, Werner Varnhorn
Publication date: 8 March 2011
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811003735881
initial valuesstrong solutionsnonstationary Navier-Stokes equationslinearized systemSerrin's condition
Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
Related Items (5)
Existence of strong solutions and decay of turbulent solutions of Navier-Stokes flow with nonzero Dirichlet boundary data ⋮ On regularity of weak solutions to the instationary Navier-Stokes system: a review on recent results ⋮ Local Regularity Results for the Instationary Navier-Stokes Equations Based on Besov Space Type Criteria ⋮ Necessary and sufficient conditions for local strong solvability of the Navier-Stokes equations in exterior domains ⋮ Optimal initial value conditions for local strong solutions of the Navier–Stokes equations in exterior domains
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