Regularity of weak solutions to the Navier–Stokes equations in exterior domains

Reinhard Farwig, Christian Komo

Type: Article

Publication Date: 2010-01-27

Citations: 11

DOI: https://doi.org/10.1007/s00030-010-0055-4

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Nonlinear Differential Equations and Applications NoDEA - View - PDF

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+ PDF Chat	Interior regularity of weak solutions to the perturbed Navier-Stokes equations	2012	Pigong Han
+	Optimal initial value conditions for local strong solutions of the Navier–Stokes equations in exterior domains	2013	Reinhard Farwig Christian Komo
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+	Partial regularity of suitable weak solutions to the four-dimensional incompressible magneto-hydrodynamic equations	2012	Pigong Han Cheng He
+	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
+	Necessary and sufficient conditions for local strong solvability of the Navier–Stokes equations in exterior domains	2014	Christian Komo
+ PDF Chat	Uniqueness Criteria and Strong Solutions of the Boussinesq Equations in Completely General Domains	2015	Christian Komo
+	Stokes Semigroup, Strong, Weak, and Very Weak Solutions for General Domains	2016	Reinhard Farwig Hideo Kozono Hermann Sohr

Works Cited by This (10)

Action	Title	Year	Authors
+ PDF Chat	An Introduction to the Navier-Stokes Initial-Boundary Value Problem	2000	Giovanni P. Galdi
+	On energy inequality, smoothness and large time behavior inL 2 for weak solutions of the Navier-Stokes equations in exterior domains	1988	Tetsuro Miyakawa Hermann Sohr
+	Energy-Based Regularity Criteria for the Navier–Stokes Equations	2008	Reinhard Farwig Hideo Kozono Hermann Sohr
+ PDF Chat	Generalized resolvent estimates for the Stokes system in bounded and unbounded domains	1994	Reinhard Farwig Hermann Sohr
+	L q -L r estimates for solutions of the nonstationary stokes equations in an exterior domain and the Navier-Stokes initial value problems inL q spaces	1989	Hirokazu Iwashita
+	Abstract Lp estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains	1991	Yoshikazu Giga Hermann Sohr
+	Local in time regularity properties of the Navier-Stokes equations	2007	Reinhard Farwig Hideo Kozono Hermann Sohr
+	The Pressure Singularity for Compressible Stokes Flows in a Concave Polygon	2007	Jae Ryong Kweon R. Bruce Kellogg
+ PDF Chat	Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data	2007	Reinhard Farwig Hideo Kozono Hermann Sohr
+	Criteria of local in time regularity of the Navier-Stokes equations beyond Serrin's condition	2008	Reinhard Farwig Hideo Kozono Hermann Sohr