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1

AnLq-approach to Stokes and Navier-Stokes equations in general domains

Reinhard Farwig, Hideo Kozono, Hermann Sohr

Journal:

Acta Mathematica

Année:

2005

Langue:

english

Fichier:

PDF, 1.38 MB

english, 2005

2

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

Reinhard Farwig, Hermann Sohr

Journal:

Mathematische Annalen

Année:

2009

Langue:

english

Fichier:

PDF, 207 KB

english, 2009

3

Asymptotic profile of steady Stokes flow around a rotating obstacle

Reinhard Farwig, Toshiaki Hishida

Journal:

manuscripta mathematica

Année:

2011

Langue:

english

Fichier:

PDF, 281 KB

english, 2011

4

The stationary and non-stationary stokes system in exterior domains with non-zero divergence and non-zero boundary values

Reinhard Farwig, Hermann Sohr

Journal:

Mathematical Methods in the Applied Sciences

Année:

1994

Langue:

english

Fichier:

PDF, 1.18 MB

english, 1994

5

Multivariate interpolation of arbitrarily spaced data by moving least squares methods

Reinhard Farwig

Journal:

Journal of Computational and Applied Mathematics

Année:

1986

Langue:

english

Fichier:

PDF, 1.07 MB

english, 1986

6

The stationary exterior 3 D-problem of Oseen and Navier-Stokes equations in anisotropically weighted Sobolev spaces

Reinhard Farwig

Journal:

Mathematische Zeitschrift

Année:

1992

Langue:

english

Fichier:

PDF, 1.68 MB

english, 1992

7

On the Helmholtz decomposition in general unbounded domains

Reinhard Farwig, Hideo Kozono, Hermann Sohr

Journal:

Archiv der Mathematik

Année:

2007

Langue:

english

Fichier:

PDF, 185 KB

english, 2007

8

On the energy equality of Navier–Stokes equations in general unbounded domains

Reinhard Farwig, Yasushi Taniuchi

Journal:

Archiv der Mathematik

Année:

2010

Langue:

english

Fichier:

PDF, 189 KB

english, 2010

9

On the Spectrum of an Oseen-Type Operator Arising from Flow past a Rotating Body

Reinhard Farwig, Jiří Neustupa

Journal:

Integral Equations and Operator Theory

Année:

2008

Langue:

english

Fichier:

PDF, 313 KB

english, 2008

10

Asymptotic profiles of steady Stokes and Navier–Stokes flows around a rotating obstacle

Reinhard Farwig, Toshiaki Hishida

Journal:

Annali dell'Universita di Ferrara

Année:

2009

Langue:

english

Fichier:

PDF, 195 KB

english, 2009

11

On the type of spectral operators and the non-spectrality of several differential operators on Lp

Reinhard Farwig, Erich Marschall

Journal:

Integral Equations and Operator Theory

Année:

1981

Langue:

english

Fichier:

PDF, 317 KB

english, 1981

12

Stationary Solutions of Compressible Navier–Stokes Equations with Slip Boundary Conditions

Reinhard Farwig,

Journal:

Communications in Partial Differential Equations

Année:

1989

Langue:

english

Fichier:

PDF, 743 KB

english, 1989

13

Leray’s inequality in general multi-connected domains in({mathbb{R}^n})

Reinhard Farwig, Hideo Kozono, Taku Yanagisawa

Journal:

Mathematische Annalen

Année:

2012

Langue:

english

Fichier:

PDF, 189 KB

english, 2012

14

Existence of solutions on the whole time axis to the Navier-Stokes equations with precompact range inL3

Farwig, Reinhard, Nakatsuka, Tomoyuki, Taniuchi, Yasushi

Journal:

Archiv der Mathematik

Année:

2015

Langue:

english

Fichier:

PDF, 527 KB

english, 2015

15

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

FARWIG, Reinhard, SOHR, Hermann

Journal:

Journal of the Mathematical Society of Japan

Année:

1994

Langue:

english

Fichier:

PDF, 3.59 MB

english, 1994

16

On the Stokes and Navier-Stokes System for Domains with Noncompact Boundary in Lq-spaces

Reinhard Farwig, Hermann Sohr

Journal:

Mathematische Nachrichten

Année:

1994

Langue:

english

Fichier:

PDF, 1.02 MB

english, 1994

17

In honour of Erhard Meister

Hans-Dieter Alber, Reinhard Farwig, Frank-Olme Speck

Journal:

Mathematische Nachrichten

Année:

2004

Langue:

english

Fichier:

PDF, 168 KB

english, 2004

18

Stokes resolvent systems in an infinite cylinder

Reinhard Farwig, Myong-Hwan Ri

Journal:

Mathematische Nachrichten

Année:

2007

Langue:

english

Fichier:

PDF, 298 KB

english, 2007

19

Leading term at infinity of steady Navier-Stokes flow around a rotating obstacle

Reinhard Farwig, Toshiaki Hishida

Journal:

Mathematische Nachrichten

Année:

2011

Langue:

english

Fichier:

PDF, 153 KB

english, 2011

20

Existence and exponential stability in Lr-spaces of stationary Navier–Stokes flows with prescribed flux in infinite cylindrical domains

Myong-Hwan Ri, Reinhard Farwig

Journal:

Mathematical Methods in the Applied Sciences

Année:

2007

Langue:

english

Fichier:

PDF, 272 KB

english, 2007

21

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

Reinhard Farwig, Hermann Sohr

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Année:

2010

Langue:

english

Fichier:

PDF, 290 KB

english, 2010

22

Book reviews

Reinhard Farwig, H. Amann, Maureen Edwards

Journal:

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)

Année:

1996

Langue:

english

Fichier:

PDF, 236 KB

english, 1996

23

A note on the reflection principle for the biharmonic equation and the Stokes system

Reinhard Farwig

Journal:

Acta Applicandae Mathematicae

Année:

1994

Langue:

english

Fichier:

PDF, 461 KB

english, 1994

24

Note on the flux condition and pressure drop in the resolvent problem of the Stokes system

Reinhard Farwig

Journal:

manuscripta mathematica

Année:

1996

Langue:

english

Fichier:

PDF, 841 KB

english, 1996

25

A variational approach in weighted Sobolev spaces to the operator −Δ+∂/∂x1in exterior domains of ℝ3

Reinhard Farwig

Journal:

Mathematische Zeitschrift

Année:

1992

Langue:

english

Fichier:

PDF, 658 KB

english, 1992

26

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

Reinhard Farwig, Giovanni P. Galdi, Hermann Sohr

Journal:

Journal of Mathematical Fluid Mechanics

Année:

2006

Langue:

english

Fichier:

PDF, 257 KB

english, 2006

27

Resolvent Estimates and Maximal Regularity in WeightedLq-spaces of the Stokes Operator in an Infinite Cylinder

Reinhard Farwig, Ri Myong-Hwan

Journal:

Journal of Mathematical Fluid Mechanics

Année:

2008

Langue:

english

Fichier:

PDF, 470 KB

english, 2008

28

Energy-Based Regularity Criteria for the Navier–Stokes Equations

Reinhard Farwig, Hideo Kozono, Hermann Sohr

Journal:

Journal of Mathematical Fluid Mechanics

Année:

2009

Langue:

english

Fichier:

PDF, 205 KB

english, 2009

29

The Resolvent Problem and({{H^{infty}}})-calculus of the Stokes Operator in Unbounded Cylinders with Several Exits to Infinity

Reinhard Farwig, Ri Myong-Hwan

Journal:

Journal of Evolution Equations

Année:

2007

Langue:

english

Fichier:

PDF, 276 KB

english, 2007

30

Uniqueness of almost periodic-in-time solutions to Navier–Stokes equations in unbounded domains

Reinhard Farwig, Yasushi Taniuchi

Journal:

Journal of Evolution Equations

Année:

2011

Langue:

english

Fichier:

PDF, 300 KB

english, 2011

31

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

Reinhard Farwig, Christian Komo

Journal:

Nonlinear Differential Equations and Applications NoDEA

Année:

2010

Langue:

english

Fichier:

PDF, 301 KB

english, 2010

32

On the spectrum of a Stokes-type operator arising from flow around a rotating body

Reinhard Farwig, Jiří Neustupa

Journal:

manuscripta mathematica

Année:

2007

Langue:

english

Fichier:

PDF, 234 KB

english, 2007

33

A weightedLq-approach to Stokes flow around a rotating body

Reinhard Farwig, Miroslav Krbec, Šárka Nečasová

Journal:

Annali dell'Universita di Ferrara

Année:

2008

Langue:

english

Fichier:

PDF, 297 KB

english, 2008

34

Editorial

Reinhard Farwig, Jiři Neustupa, Patrick Penel

Journal:

Annali dell'Universita di Ferrara

Année:

2009

Langue:

english

Fichier:

PDF, 83 KB

english, 2009

35

Periodic solutions of the Navier–Stokes equations with inhomogeneous boundary conditions

Reinhard Farwig, Takahiro Okabe

Journal:

Annali dell'Universita di Ferrara

Année:

2010

Langue:

english

Fichier:

PDF, 355 KB

english, 2010

36

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

Reinhard Farwig, Hermann Sohr, Werner Varnhorn

Journal:

Annali dell'Universita di Ferrara

Année:

2009

Langue:

english

Fichier:

PDF, 310 KB

english, 2009

37

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

Reinhard Farwig, Hermann Sohr, Werner Varnhorn

Journal:

Journal of Mathematical Fluid Mechanics

Année:

2012

Langue:

english

Fichier:

PDF, 261 KB

english, 2012

38

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

Farwig, Reinhard, Sohr, Hermann, Varnhorn, Werner

Journal:

Journal of Mathematical Fluid Mechanics

Année:

2014

Langue:

english

Fichier:

PDF, 333 KB

english, 2014

39

Weak solutions of the Navier–Stokes equations with non-zero boundary values in an exterior domain satisfying the strong energy inequality

Farwig, Reinhard, Kozono, Hideo

Journal:

Journal of Differential Equations

Année:

2014

Langue:

english

Fichier:

PDF, 380 KB

english, 2014

40

Mathematical Topics in Fluid Mechanics. Vol. 1. Incompressible Modelsby Pierre-Louis Lions

Review by: Reinhard Farwig

Journal:

Année:

1998

Langue:

english

Fichier:

PDF, 404 KB

english, 1998

41

On regularity of weak solutions to the instationary Navier–Stokes system: a review on recent results

Farwig, Reinhard

Journal:

Annali dell'Universita di Ferrara

Année:

2014

Langue:

english

Fichier:

PDF, 371 KB

english, 2014

42

Weighted energy inequalities for the navier-stokes equations in exterior domains

Farwig, Reinhard, Sohr, Hermann

Journal:

Applicable Analysis

Année:

1995

Langue:

english

Fichier:

PDF, 507 KB

english, 1995

43

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

Farwig, Reinhard, Sohr, Hermann, Varnhorn, Werner

Journal:

Applicable Analysis

Année:

2011

Langue:

english

Fichier:

PDF, 164 KB

english, 2011

44

Rate of Convergence of Shepard's Global Interpolation Formula

Reinhard Farwig

Journal:

Mathematics of Computation

Année:

1986

Langue:

english

Fichier:

PDF, 303 KB

english, 1986

45

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

FARWIG, Reinhard, KOZONO, Hideo, SOHR, Hermann

Journal:

Journal of the Mathematical Society of Japan

Année:

2007

Langue:

english

Fichier:

PDF, 279 KB

english, 2007

46

Very weak solutions and the Fujita-Kato approach to the Navier-Stokes system in general unbounded domains

Farwig, Reinhard, Riechwald, Paul Felix

Journal:

Nonlinear Differential Equations and Applications NoDEA

Année:

2015

Langue:

english

Fichier:

PDF, 367 KB

english, 2015

47

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

Farwig, Reinhard, Sohr, Hermann

Journal:

Analysis (Oldenbourg Wissenschaftsverlag)

Année:

1996

Langue:

english

Fichier:

PDF, 1.33 MB

english, 1996

48

Very weak solutions to the Navier–Stokes system in general unbounded domains

Farwig, Reinhard, Riechwald, Paul Felix

Journal:

Journal of Evolution Equations

Année:

2015

Langue:

english

Fichier:

PDF, 379 KB

english, 2015

49

Maximal regularity in exponentially weighted Lebesgue spaces of the Stokes operator in unbounded cylinders

Ri, Myong-Hwan, Farwig, Reinhard

Journal:

Analysis (Oldenbourg Wissenschaftsverlag)

Année:

2015

Langue:

english

Fichier:

PDF, 690 KB

english, 2015

50

Optimal initial value conditions for local strong solutions of the Navier–Stokes equations in exterior domains

Farwig, Reinhard, Komo, Christian

Journal:

Analysis (Oldenbourg Wissenschaftsverlag)

Année:

2013

Langue:

english

Fichier:

PDF, 250 KB

english, 2013