Three-dimensional Navier-Stokes equations for singular filament initial data

DOI10.1016/0022-0396(88)90004-6zbMath0675.76072OpenAlexW1987676723MaRDI QIDQ1122435

S. H. Smith

Publication date: 1988

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(88)90004-6

zbMATH Keywords

Navier-Stokes equationsvorticesclassical solutioncompactness argumentsinstantaneous filament

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (9)

On the Vlasov-Poisson-Fokker-Planck equations with measures in Morrey spaces as initial data ⋮ Smooth or singular solutions to the Navier-Stokes system? ⋮ Exact solutions of the Navier-Stokes equations via Leray's scheme ⋮ An analysis of quantum Fokker-Planck models: a Wigner function approach ⋮ Navier-Stokes equations and area of interfaces ⋮ Global mild solutions to three-dimensional magnetohydrodynamic equations in Morrey spaces ⋮ Two-dimensional incompressible micropolar fluid models with singular initial data ⋮ Generalized local induction equation, elliptic asymptotics, and simulating superfluid turbulence ⋮ EXACT SOLUTIONS AND DYNAMICS OF GLOBALLY COUPLED OSCILLATORS

Cites Work

• Planar Navier-Stokes flow for singular initial data
• Vortex Filament Method
• Partial regularity of suitable weak solutions of the navier-stokes equations
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