REGULARITY OF A SUITABLE WEAK SOLUTION TO THE NAVIER-STOKES EQUATIONS AS A CONSEQUENCE OF REGULARITY OF ONE VELOCITY COMPONENT
By Jirí Neustupa, Patrick Penel. 2002
105 citations recorded by the source corpus.
Subfields: Applied Mathematics, Control and Systems Engineering, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/42bce0a8dd3653c6f7d80b27f8512f0338e7c005
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In Applied Mathematics
In Control and Systems Engineering
In Mathematical Physics
Citations in the corpus
- On the Interior Regularity of Suitable Weak Solutions to the Navier–Stokes Equations (2007, methodology): “Main point in this argument is to use the fact that one-dimensional Hausdorff measure of possible singular set is zero for suitable weak solutions (see the proof of Lemma 1 in Neustupa and Penel, 1999 for the details).”
- An Interior Regularity Criterion for an Axially Symmetric Suitable Weak Solution to the Navier—Stokes Equations (2000, background): “This paper deals with a similar problem as the mentioned papers [ 19 ] and [20], however we study an axially symmetric flow.”
- Regularity for solutions to the Navier-Stokes equations with one velocity component regular (2002, methodology): “In this respect, the first result was obtained by Neustupa and Penel [7].”