A new proof of partial regularity of solutions to Navier-Stokes equations
By Alexis Vasseur. 2007
170 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Mechanics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/0c0bede11e219e4c0482f3541c30227aa9f9a3d9
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
In Computational Mechanics
In Mathematical Physics
Citations in the corpus
- Regularity theory for parabolic nonlinear integral operators (2011, unknown): “We were motivated by our work on Navier-Stokes [23] and the quasi-geostrophic equations [8].”
- Lower Bound on the Blow-up Rate of the Axisymmetric Navier-Stokes Equations (2007, unknown): “…University and National Center for Theoretical Sciences, Taipei Office, email: chchchen@math.ntu.edu.tw †Harvard University, email: strain@math.harvard.edu ‡University of British Columbia, email: ttsai@math.ubc.ca §Harvard University, email: htyau@math.harvard.edu The main result of our…”
- Nonuniqueness of weak solutions to the Navier-Stokes equation (2017, unknown): “Based on the natural scaling of the equations v(x, t) 7→ vλ(x, t) = λv(λx, λ2t), a number of partial regularity results have been established [46, 7, 41, 37, 54, 35]; the local existence for the Cauchy problem has been proven in scaling-invariant spaces [30, 32, 28]; and conditional regularity has b”
- On the local regularity of suitable weak solutions to the generalized Navier–Stokes equations (2014, unknown): “Recently a new proof of the Caffarelli–Kohn–Nirenberg theorem has been given by Vasseur in [21].”
- On the interior regularity criteria and the number of singular points to the Navier-Stokes equations (2014, methodology): “solution u is zero; see also [18, 29, 19, 30].”