Article

Hieber, Matthias ; Kozono, Hideo ; Seyfert, Anton ; Shimizu, Senjo ; Yanagisawa, Taku (2020)
The Helmholtz–Weyl decomposition of Lr vector fields for two dimensional exterior domains.
In: The Journal of Geometric Analysis, 2020
doi: 10.1007/s12220-020-00473-4
Article, Bibliographie

Farwig, Reinhard ; Kozono, Hideo ; Wegmann, David (2017)
Existence of strong solutions and decay of turbulent solutions of Navier–Stokes flow with nonzero Dirichlet boundary data.
In: Journal of Mathematical Analysis and Applications, 453 (1)
doi: 10.1016/j.jmaa.2017.03.086
Article, Bibliographie

Farwig, Reinhard ; Kozono, Hideo (2014)
Weak solutions of the Navier-Stokes equations with non-zero boundary values in an exterior domain satisfying the strong energy inequality.
In: Journal of Differential Equations, 256
Article, Bibliographie

Farwig, Reinhard ; Kozono, Hideo ; Yanagisawa, Taku (2012)
Leray's inequality in general multi-connected domains in R-n.
In: Mathematische Annalen, 354
Article, Bibliographie

Farwig, Reinhard ; Kozono, Hideo ; Sohr, Hermann (2007)
Local in time regularity properties of the Navier-Stokes equations.
In: Indiana University Mathematics Journal, 56
Article, Bibliographie

Farwig, Reinhard ; Kozono, Hideo ; Sohr, Hermann (2007)
On the Helmholtz decomposition in general unbounded domains.
In: Archiv der Mathematik, 88
Article, Bibliographie

Farwig, Reinhard ; Kozono, Hideo ; Sohr, Hermann (2007)
Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data.
In: Journal of the Mathematical Society of Japan, 59
Article, Bibliographie

Farwig, Reinhard ; Kozono, Hideo ; Sohr, Hermann (2006)
Local in time regularity properties of the Navier-Stokes equations.
In: Indiana University Mathematics Journal : Preprint 2465(2006) FB Mathematik TU Darmstadt. 20 S.
Article, Bibliographie

Farwig, Reinhard ; Kozono, Hideo ; Sohr, Hermann (2005)
An Lq-approach to Stokes and Navier-Stokes equations in general domains.
In: Acta Mathematica, 195
Article, Bibliographie

Report

Farwig, Reinhard ; Kozono, Hideo ; Sohr, Hermann (2005)
The Helmholtz decomposition in arbitrary unbounded domains : a theory beyond L2.
Report, Bibliographie

Farwig, Reinhard ; Kozono, Hideo ; Sohr, Hermann (2005)
Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data.
Report, Bibliographie