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Your search keyword '"Navier-Stokes equations, weak solutions, regularity and partial regularity"' showing total 2 results
Start Over Descriptor "Navier-Stokes equations, weak solutions, regularity and partial regularity"
2 results on '"Navier-Stokes equations, weak solutions, regularity and partial regularity"'

1. Some new properties of a suitable weak solution to the Navier-Stokes equations

Author

Francesca Crispo, Carlo Romano Grisanti, Paolo Maremonti, T. Bodnar G. P. Galdi, S. Necasova, Crispo, Francesca, Maremonti, Paolo, and Romano Grisanti, Carlo

Subjects
Physics::Fluid Dynamics, regularity and partial regularity, Weak solution, weak solutions, MathematicsofComputing_NUMERICALANALYSIS, Mathematics::Analysis of PDEs, Applied mathematics, Navier-Stokes equations, weak solutions, regularity and partial regularity, Navier-Stokes equations, Navier–Stokes equations, Mathematics
Abstract

The paper is concerned with the IBVP of the Navier–Stokes equations. The goal is the construction of a weak solution enjoying some new properties. Of course, we look for properties that are global in time. The results hold assuming an initial data v0 ∈ J2(Ω).

Published
2021

2. A Note on Prodi–Serrin Conditions for the Regularity of a Weak Solution to the Navier–Stokes Equations

Author

Paolo Maremonti and Maremonti, Paolo

Subjects
Applied Mathematics, Weak solution, 010102 general mathematics, Mathematical analysis, Mathematics::Analysis of PDEs, Navier–Stokes equations, weak solutions, regularity and partial regularity, Condensed Matter Physics, 01 natural sciences, Omega, 010101 applied mathematics, Computational Mathematics, Mathematics - Analysis of PDEs, Compatibility (mechanics), FOS: Mathematics, 0101 mathematics, Navier–Stokes equations, Mathematical Physics, Analysis of PDEs (math.AP), Mathematics
Abstract

The paper is concerned with the regularity of weak solutions to the Navier–Stokes equations. The aim is to show a relaxed Prodi–Serrin condition for regularity. The most interesting aspect of the result is that no compatibility condition is required on the initial data $$v_\circ \in J^2(\Omega )$$ .

Published
2018

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