Local in time regularity properties of the Navier-Stokes equations

Reinhard Farwig, Hideo Kozono, Hermann Sohr

Type: Article

Publication Date: 2007-01-01

Citations: 16

DOI: https://doi.org/10.1512/iumj.2007.56.3098

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Indiana University Mathematics Journal - View

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Works That Cite This (16)

Action	Title	Year	Authors
+ PDF Chat	Regularity of weak solutions to the Navier–Stokes equations in exterior domains	2010	Reinhard Farwig Christian Komo
+ PDF Chat	Interior regularity of weak solutions to the perturbed Navier-Stokes equations	2012	Pigong Han
+	Stokes Semigroups, Strong, Weak, and Very Weak Solutions for General Domains	2018	Reinhard Farwig Hideo Kozono Hermann Sohr
+	Regularity of Weak Solutions for the Navier-Stokes Equations Via Energy Criteria	2009	Reinhard Farwig Hideo Kozono Hermann Sohr
+	Partial regularity of suitable weak solutions to the four-dimensional incompressible magneto-hydrodynamic equations	2012	Pigong Han Cheng He
+	Some criteria concerning the vorticity and the problem of global regularity for the 3D Navier–Stokes equations	2009	Luigi C. Berselli
+	On regularity of weak solutions to the instationary Navier–Stokes system: a review on recent results	2014	Reinhard Farwig
+	Local Regularity Results for the Instationary Navier-Stokes Equations Based on Besov Space Type Criteria	2016	Reinhard Farwig
+	On the existence of local strong solutions for the Navier–Stokes equations in completely general domains	2010	Reinhard Farwig Hermann Sohr
+	On robustness of a strong solution to the Navier–Stokes equations with Navier’s boundary conditions in the<i>L</i><sup>3</sup>-norm	2017	Petr Kučera Jiřı́ Neustupa

Works Cited by This (4)

Action	Title	Year	Authors
+	Global strong solution and its decay properties for the Navier-Stokes equations in three dimensional domains with non-compact boundaries	1994	Hideo Kozono Takayoshi Ogawa
+ PDF Chat	Generalized resolvent estimates for the Stokes system in bounded and unbounded domains	1994	Reinhard Farwig Hermann Sohr
+	On the Strong Solvability of the NavierStokes Equations	2000	Herbert Amann
+	A New Class of Weak Solutions of the Navier–Stokes Equations with Nonhomogeneous Data	2005	Reinhard Farwig Giovanni P. Galdi Hermann Sohr