journal article
Apr 01, 1990
Navier-Stokes equations and area of interfaces
Communications in Mathematical Physics
Vol. 129
No. 2
pp. 241-266
·
Springer Science and Business Media LLC
Topics
No keywords indexed for this article. Browse by subject →
References
17
[1]
[B] Batchelor, G. K.: The theory of homogeneous turbulence. Cambridge: Cambridge University Press
[2]
[C-F] Constantin, P., Foias, C.: Navier-Stokes Equations. Chicago, IL: The University of Chicago Press
[3]
[C-K-N] Caffarelli, L., Kohn, R., Nirenberg, L.: Partial regularity of suitable weak solutions of the Navier-Stokes equations. Commun. Pure Appl. Math.35, 771–831 (1982)
10.1002/cpa.3160350604
[4]
[C-S] Cottet, G.H., Soler, J.: Three dimensional Navier-Stokes equations for singular filament initial data. J. Diff. Eqns74, 234–253 (1988)
10.1016/0022-0396(88)90004-6
[5]
[Chi] Castaing, B. Gunaratne, G., Heslot, F., Kadanoff, L., Libchaber, A., Thomae, S., Wu, X-Z., Zaleski, S., Zanetti, G.: Scaling of hard thermal turbulence in Rayleigh Benard convection, preprint
[6]
[Cho] Chorin, A.: Scaling laws in the vorticity lattice model of turbulence. Commun. Math. Phys.114, 167–176 (1988)
10.1007/bf01218294
[7]
[D] Duff, G. F. D.: Derivative estimates for the Navier-Stokes equations in a three dimensional region, preprint (1988)
[8]
[F] Federer, H.: Geometric measure theory. Berlin, Heidelberg, New York: Springer
[9]
[F-G-T] Foias, C., Guillope, C., Temam, R.: New a priori estimates for Navier-Stokes equations in dimension 3. Commun. P.D.E.6, 329–359 (1981)
10.1080/03605308108820180
[10]
[F-M-T] Foias, C., Manley, O., Temam, R.: Self-similar invariant families of turbulent flows. Phys. Fluid30, 2007–2020 (1987)
10.1063/1.866215
[11]
[Fo] Foias, C.: Private communication
[12]
[G-M] Giga, Y., Miyakawa, T.: Navier-Stokes flow in ℝ3 with measures as initial vorticity and Morrey spaces, preprint (1988)
10.1007/bf00281355
[13]
[K] Kronrod, A. S.: On functions of two variables. Usp. Math. Nauk.5, 24–134 (1950) (Russian)
[14]
Sur le mouvement d'un liquide visqueux emplissant l'espace
Jean Leray
Acta Mathematica
1934
10.1007/bf02547354
[15]
[M] Maz'ja, V. G.: Sobolev Spaces. Berlin, Heidelberg, New York: Springer
[16]
[S] Sreenivasan, K. R.: The physics of fully turbulent flows: Some recent contributions motivated by advances in dynamical systems, preprint (1989)
[17]
[T] Temam, R.: Navier-Stokes equations: theory and numerical analysis. Amsterdam, New York: North Holland
Metrics
86
Citations
17
References
Details
- Published
- Apr 01, 1990
- Vol/Issue
- 129(2)
- Pages
- 241-266
- License
- View
Authors
Cite This Article
Peter Constantin (1990). Navier-Stokes equations and area of interfaces. Communications in Mathematical Physics, 129(2), 241-266. https://doi.org/10.1007/bf02096982
Related
You May Also Like
Intermittent transition to turbulence in dissipative dynamical systems
Yves Pomeau, PAUL MANNEVILLE · 1980
1,701 citations