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The Navier-Stokes Equations: An Elementary Functional Analytic Approach

Sohr, Hermann

2001st edition, 2012

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Optimal initial value conditions for the existence of local strong solutions of the Navier–Stokes equations

Mathematische annalen, 2009-11, Vol.345 (3), p.631-642

2009

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A regularity class for the Navier-Stokes equations in Lorentz spaces

Journal of evolution equations, 2001-12, Vol.1 (4), p.441-467

Sohr, Hermann

2001

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Besov Space Regularity Conditions for Weak Solutions of the Navier–Stokes Equations

Journal of mathematical fluid mechanics, 2014-06, Vol.16 (2), p.307-320

2014

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Extensions of Serrin’s Uniqueness and Regularity Conditions for the Navier–Stokes Equations

Journal of mathematical fluid mechanics, 2012-09, Vol.14 (3), p.529-540

2012

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On optimal initial value conditions for local strong solutions of the Navier–Stokes equations

Annali dell'Università di Ferrara. Sezione 7. Scienze matematiche, 2009-05, Vol.55 (1), p.89-110

2009

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On the Helmholtz decomposition in general unbounded domains

Archiv der Mathematik, 2007-03, Vol.88 (3), p.239-248

2007

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Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data

Journal of the Mathematical Society of Japan, 2007-01, Vol.59 (1), p.127-150

2007

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On the stokes operator in general unbounded domains

Hokkaido mathematical journal, 2009-02, Vol.38 (1)

2009

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Necessary and sufficient conditions on local strong solvability of the Navier-Stokes system

Applicable analysis, 2011-01, Vol.90 (1), p.47-58

2011

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On the existence of local strong solutions for the Navier–Stokes equations in completely general domains

Nonlinear analysis, 2010-09, Vol.73 (6), p.1459-1465

2010

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Generalized resolvent estimates for the Stokes system in bounded and unbounded domains

Journal of the Mathematical Society of Japan, 1994, Vol.46 (4), p.607-643

1994

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An Lq-approach to Stokes and Navier-Stokes equations in general domains

Acta mathematica, 2005, Vol.195 (1), p.21-53

2005

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A New Class of Weak Solutions of the Navier–Stokes Equations with Nonhomogeneous Data

Journal of mathematical fluid mechanics, 2006-08, Vol.8 (3), p.423-444

2006

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Local strong solutions of the nonhomogeneous Navier-Stokes system with control of the interval ofexistence

Topological Methods in Nonlinear Analysis, 2015-09, p.1

2015

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Regularity criterion of weak solutions to the Navier-Stokes equations

Advances in differential equations, 1997-01, Vol.2 (4)

1997

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Necessary and sufficient conditions for the existence of Helmholtz decompositions in general domains

Annali dell'Università di Ferrara. Sezione 7. Scienze matematiche, 2014, Vol.60 (1), p.245-262

2014

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Existence and uniqueness of time-periodic physically reasonable Navier-Stokes flow past a body

Archive for rational mechanics and analysis, 2004-05, Vol.172 (3), p.363-406

2004

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REMARK ON UNIQUENESS OF WEAK SOLUTIONS TO THE NAVIER-STOKES EQUATIONS

Analysis (Wiesbaden), 1996-09, Vol.16 (3), p.255-272

1996

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Imaginary powers of second order differential operators and $L^q$ -Helmholtz decomposition in the infinite cylinder

Mathematische annalen, 1998-07, Vol.311 (3), p.577-602

1998

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HELMHOLTZ DECOMPOSITION AND STOKES RESOLVENT SYSTEM FOR APERTURE DOMAINS IN Lq-SPACES

Analysis (Wiesbaden), 1996-03, Vol.16 (1), p.1-26

1996

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Energy-Based Regularity Criteria for the Navier–Stokes Equations

Journal of mathematical fluid mechanics, 2009-10, Vol.11 (3), p.428-442

2009

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Abstract Lp estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains

Journal of functional analysis, 1991-11, Vol.102 (1), p.72-94

1991

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New A Priori Estimates for the Stokes Equations in Exterior Domains

Indiana University mathematics journal, 1991-04, Vol.40 (1), p.1-27

1991

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Weighted L^{q} -theory for the Stokes resolvent in exterior domains

Journal of the Mathematical Society of Japan, 1997, Vol.49 (no. 2), p.251-288

1997

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The Navier-Stokes Equations: An Elementary Functional Analytic Approach

Optimal initial value conditions for the existence of local strong solutions of the Navier–Stokes equations

A regularity class for the Navier-Stokes equations in Lorentz spaces

Besov Space Regularity Conditions for Weak Solutions of the Navier–Stokes Equations

Extensions of Serrin’s Uniqueness and Regularity Conditions for the Navier–Stokes Equations

On optimal initial value conditions for local strong solutions of the Navier–Stokes equations

On the Helmholtz decomposition in general unbounded domains

Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data

On the stokes operator in general unbounded domains

Necessary and sufficient conditions on local strong solvability of the Navier-Stokes system

On the existence of local strong solutions for the Navier–Stokes equations in completely general domains

Generalized resolvent estimates for the Stokes system in bounded and unbounded domains

An Lq-approach to Stokes and Navier-Stokes equations in general domains

A New Class of Weak Solutions of the Navier–Stokes Equations with Nonhomogeneous Data

Local strong solutions of the nonhomogeneous Navier-Stokes system with control of the interval ofexistence

Regularity criterion of weak solutions to the Navier-Stokes equations

Necessary and sufficient conditions for the existence of Helmholtz decompositions in general domains

Existence and uniqueness of time-periodic physically reasonable Navier-Stokes flow past a body

REMARK ON UNIQUENESS OF WEAK SOLUTIONS TO THE NAVIER-STOKES EQUATIONS

Imaginary powers of second order differential operators and $L^q$ -Helmholtz decomposition in the infinite cylinder

HELMHOLTZ DECOMPOSITION AND STOKES RESOLVENT SYSTEM FOR APERTURE DOMAINS IN Lq-SPACES

Energy-Based Regularity Criteria for the Navier–Stokes Equations

Abstract Lp estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains

New A Priori Estimates for the Stokes Equations in Exterior Domains

Weighted L^{q} -theory for the Stokes resolvent in exterior domains

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