On the regularity of the primitive equations of the ocean
By Igor Kukavica, Mohammed B. Ziane. 2007
203 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/1317c965a94b51af75210a168e2ff1a4c4cf811c
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
- Vlad Vicol
- Nader Masmoudi
- Davdi Gerard-Varet
- Nathan E. Glatt-Holtz
- Roger Temam
- Arnaud Debussche
- Martina Hofmanov'a
- Igor Kukavica
In Computational Theory and Mathematics
- Arnaud Debussche
- Roger Temam
- Davdi Gerard-Varet
- Vlad Vicol
- Nader Masmoudi
- Nathan E. Glatt-Holtz
- Martin Hairer
- Peter Constantin
In Control and Systems Engineering
- Vlad Vicol
- Nader Masmoudi
- Roger Temam
- Arnaud Debussche
- Davdi Gerard-Varet
- Nathan E. Glatt-Holtz
- Jacob Bedrossian
- Yasunori Maekawa
Citations in the corpus
- Local martingale and pathwise solutions for an abstract fluids model (2010, background): “However to emphasize the notable differences between the stochastic Navier-Stokes Equations and the primitive equations we recall that the deterministic Primitive equations are known to be well posed in space dimension three (see [7, 27, 28]).”
- Well-posedness of the hydrostatic Navier–Stokes equations (2018, background): “For positive values of tangential and transverse viscosity coefficients, they are known to be globally well-posed in the Sobolev setting in both the two and the three dimensional case [43, 3, 4, 40, 8, 21, 27, 28], and the vanishing viscosity limit η, η′ → 0 can be characterized in the real-analytic”