×
Author ID: farwig.reinhard Recent zbMATH articles by "Farwig, Reinhard"
Published as: Farwig, Reinhard; Farwig, R.
Homepage: http://www3.mathematik.tu-darmstadt.de/hp/ag-analysis/farwig-reinhard/prof-dr-re...
External Links: MGP · ResearchGate · dblp · GND
all top 5

Serials

6 Journal of Mathematical Fluid Mechanics
5 Archiv der Mathematik
5 Journal of the Mathematical Society of Japan
5 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
4 Journal of Mathematical Analysis and Applications
4 Mathematical Methods in the Applied Sciences
4 Journal of Evolution Equations
3 Funkcialaj Ekvacioj. Serio Internacia
3 Hokkaido Mathematical Journal
3 Journal of Differential Equations
3 Manuscripta Mathematica
3 Mathematische Annalen
3 Mathematische Nachrichten
3 NoDEA. Nonlinear Differential Equations and Applications
3 Discrete and Continuous Dynamical Systems. Series S
3 Journal of Elliptic and Parabolic Equations
2 Applicable Analysis
2 Indiana University Mathematics Journal
2 Integral Equations and Operator Theory
2 Mathematische Zeitschrift
2 Pacific Journal of Mathematics
2 Tôhoku Mathematical Journal. Second Series
2 Zeitschrift für Analysis und ihre Anwendungen
2 Communications in Partial Differential Equations
2 Advances in Differential Equations
2 Analysis (München)
2 RIMS Kôkyûroku Bessatsu
1 American Mathematical Monthly
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Mathematische Semesterberichte
1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV)
1 Studia Mathematica
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Mathematics of Computation
1 Acta Mathematica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Czechoslovak Mathematical Journal
1 Journal of Computational and Applied Mathematics
1 Journal of Functional Analysis
1 Journal of the Korean Mathematical Society
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Rendiconti del Seminario Matematico della Università di Padova
1 SIAM Journal on Numerical Analysis
1 Tokyo Journal of Mathematics
1 Analysis
1 Acta Applicandae Mathematicae
1 Asymptotic Analysis
1 Mathematica Bohemica
1 Topological Methods in Nonlinear Analysis
1 Bulletin des Sciences Mathématiques
1 Discrete and Continuous Dynamical Systems
1 Nonlinear Analysis. Real World Applications
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Contemporary Mathematics
1 Advances in Nonlinear Analysis
1 SN Partial Differential Equations and Applications

Publications by Year

Citations contained in zbMATH Open

114 Publications have been cited 1,499 times in 702 Documents Cited by Year
Generalized resolvent estimates for the Stokes system in bounded and unbounded domains. Zbl 0819.35109
Farwig, Reinhard; Sohr, Hermann
92
1994
An \(L^q\)-approach to Stokes and Navier-Stokes equations in general domains. Zbl 1111.35033
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
79
2005
Weighted \(L^q\)-theory for the Stokes resolvent in exterior domains. Zbl 0918.35106
Farwig, Reinhard; Sohr, Hermann
59
1997
The stationary exterior 3D-problem of Oseen and Navier-Stokes equations in anisotropically weighted spaces. Zbl 0727.35106
Farwig, Reinhard
55
1992
A new class of weak solutions of the Navier-Stokes equations with nonhomogeneous data. Zbl 1104.35032
Farwig, Reinhard; Galdi, Giovanni P.; Sohr, Hermann
49
2006
An \(L^q\)-analysis of viscous fluid flow past a rotating obstacle. Zbl 1136.76340
Farwig, Reinhard
47
2006
\(L^q\)-theory of a singular ”winding” integral operator arising from fluid dynamics. Zbl 1057.35028
Farwig, Reinhard; Hishida, Toshiaki; Müller, Detlef
45
2004
Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data. Zbl 1107.76022
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
37
2007
Rate of convergence of Shepard’s global interpolation formula. Zbl 0607.41005
Farwig, Reinhard
35
1986
On the Helmholtz decomposition in general unbounded domains. Zbl 1121.35097
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
35
2007
Stationary Navier-Stokes flow around a rotating obstacle. Zbl 1180.35408
Farwig, Reinhard; Hishida, Toshiaki
33
2007
On optimal initial value conditions for local strong solutions of the Navier-Stokes equations. Zbl 1179.35210
Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner
32
2009
Helmholtz decomposition and Stokes resolvent system for aperture domains in \(L^ q\)-spaces. Zbl 0847.35101
Farwig, Reinhard; Sohr, Hermann
29
1996
On the spectrum of a Stokes-type operator arising from flow around a rotating body. Zbl 1126.35050
Farwig, Reinhard; Neustupa, Jiří
29
2007
Very weak solutions and large uniqueness classes of stationary Navier-Stokes equations in bounded domains of \(\mathbb R^2\). Zbl 1119.35045
Farwig, R.; Galdi, G. P.; Sohr, H.
28
2006
Stationary solutions of compressible Navier-Stokes equations with slip boundary condition. Zbl 0701.35127
Farwig, Reinhard
27
1989
Weighted estimates for the Oseen equations and the Navier-Stokes equations in exterior domains. Zbl 0934.35120
Farwig, Reinhard; Sohr, Hermann
27
1998
On the Stokes operator in general unbounded domains. Zbl 1170.76011
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
24
2009
Estimates of lower order derivatives of viscous fluid flow past a rotating obstacle. Zbl 1101.35348
Farwig, Reinhard
23
2005
Optimal initial value conditions for the existence of local strong solutions of the Navier-Stokes equations. Zbl 1173.35096
Farwig, Reinhard; Sohr, Hermann
23
2009
Asymptotic structure of a Leray solution to the Navier-Stokes flow around a rotating body. Zbl 1234.35035
Farwig, Reinhard; Galdi, Giovanni P.; Kyed, Mads
22
2011
Leading term at infinity of steady Navier-Stokes flow around a rotating obstacle. Zbl 1229.35173
Farwig, Reinhard; Hishida, Toshiaki
21
2011
Very weak solutions of stationary and instationary Navier-Stokes equations with nonhomogeneous data. Zbl 1246.35148
Farwig, Reinhard; Galdi, Giovanni P.; Sohr, Hermann
21
2005
A weighted \(L^q\)-approach to Oseen flow around a rotating body. Zbl 1132.76015
Farwig, R.; Krbec, M.; Nečasová, Š.
19
2008
The stationary Navier-Stokes equations in a 3D-exterior domain. Zbl 0941.35064
Farwig, Reinhard
18
1998
Periodic solutions of the Navier-Stokes equations with inhomogeneous boundary conditions. Zbl 1205.35192
Farwig, Reinhard; Okabe, Takahiro
18
2010
A note on the reflection principle for the biharmonic equation and the Stokes system. Zbl 0815.31002
Farwig, Reinhard
18
1994
Asymptotic profile of steady Stokes flow around a rotating obstacle. Zbl 1229.35172
Farwig, Reinhard; Hishida, Toshiaki
18
2011
Global estimates in weighted spaces of weak solutions of the Navier-Stokes equations in exterior domains. Zbl 0855.35099
Farwig, R.; Sohr, H.
17
1996
On the energy equality of Navier-Stokes equations in general unbounded domains. Zbl 1202.35169
Farwig, Reinhard; Taniuchi, Yasushi
17
2010
Multivariate interpolation of arbitrarily spaced data by moving least squares methods. Zbl 0636.65007
Farwig, Reinhard
17
1986
Existence, uniqueness and regularity of stationary solutions to inhomogeneous Navier-Stokes equations in \(\mathbb R^n\). Zbl 1224.76034
Farwig, R.; Sohr, H.
15
2009
A weighted \(L^q\)-approach to Stokes flow around a rotating body. Zbl 1248.35158
Farwig, Reinhard; Krbec, Miroslav; Nečasová, Šárka
15
2008
Spectral properties in \(L^q\) of an Oseen operator modelling fluid flow past a rotating body. Zbl 1194.35324
Farwig, Reinhard; Neustupa, Jiří
15
2010
Initial values for the Navier-Stokes equations in spaces with weights in time. Zbl 1364.35236
Farwig, Reinhard; Giga, Yoshikazu; Hsu, Pen-Yuan
14
2016
Resolvent estimates and maximal regularity in weighted \(L^{q}\)-spaces of the Stokes operator in an infinite cylinder. Zbl 1162.76322
Farwig, Reinhard; Myong-Hwan, Ri
13
2008
Local in time regularity properties of the Navier-Stokes equations. Zbl 1175.35100
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
13
2007
Asymptotic profiles of steady Stokes and Navier-Stokes flows around a rotating obstacle. Zbl 1205.35191
Farwig, Reinhard; Hishida, Toshiaki
13
2009
On the Stokes and Navier-Stokes system for domains with noncompact boundary in \(L^ q\)-spaces. Zbl 0836.35117
Farwig, Reinhard; Sohr, Hermann
12
1994
On the spectrum of an Oseen-type operator arising from flow past a rotating body. Zbl 1180.35382
Farwig, Reinhard; Neustupa, Jiří
12
2008
Some divided difference inequalities for n-convex functions. Zbl 0579.41011
Farwig, R.; Zwick, D.
11
1985
Extensions of Serrin’s uniqueness and regularity conditions for the Navier-Stokes equations. Zbl 1254.76053
Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner
11
2012
Weighted \(L^q\)-Helmholtz decompositions in infinite cylinders and in infinite layers. Zbl 1038.35068
Farwig, Reinhard
10
2003
Weighted energy inequalities for the Navier-Stokes equations in exterior domains. Zbl 0833.35107
Farwig, Reinhard; Sohr, Hermann
10
1995
Global weak solutions of the Navier-Stokes equations with nonhomogeneous boundary data and divergence. Zbl 1236.35103
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
10
2011
The Navier-Stokes equations with initial values in Besov spaces of type \(B^{-1+3/q}_{q,\infty}\). Zbl 1390.35229
Farwig, Reinhard; Giga, Yoshikazu; Hsu, Pen-Yuan
10
2017
Weak solutions of the Navier-Stokes equations with non-zero boundary values in an exterior domain satisfying the strong energy inequality. Zbl 1285.35065
Farwig, Reinhard; Kozono, Hideo
9
2014
Regularity of weak solutions to the Navier-Stokes equations in exterior domains. Zbl 1189.76115
Farwig, Reinhard; Komo, Christian
9
2010
The resolvent problem and \(H^\infty\)-calculus of the Stokes operator in unbounded cylinders with several exits to infinity. Zbl 1170.35073
Farwig, Reinhard; Myong-Hwan, Ri
9
2007
Existence of solutions on the whole time axis to the Navier-Stokes equations with precompact range in \(L^3\). Zbl 1321.35133
Farwig, Reinhard; Nakatsuka, Tomoyuki; Taniuchi, Yasushi
8
2015
Maximal regularity of the Stokes operator in general unbounded domains of \(\mathbb R^n\). Zbl 1171.35448
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
8
2008
Spectral analysis of a Stokes-type operator arising from flow around a rotating body. Zbl 1223.35257
Farwig, Reinhard; Nečasová, Šárka; Neustupa, Jiří
8
2011
Asymptotic behavior for the quasi-geostrophic equations with fractional dissipation in \(\mathbb{R}^2\). Zbl 1409.35034
Farwig, Reinhard; Qian, Chenyin
8
2019
Uniqueness of almost periodic-in-time solutions to Navier-Stokes equations in unbounded domains. Zbl 1231.35145
Farwig, Reinhard; Taniuchi, Yasushi
8
2011
A variational approach in weighted Sobolev spaces to the operator \(- \Delta +\partial /\partial x_ 1\) in exterior domains of \({\mathbb{R}}^ 3\). Zbl 0727.35041
Farwig, Reinhard
8
1992
Resolvent estimates of the Stokes system with Navier boundary conditions in general unbounded domains. Zbl 1341.35098
Farwig, Reinhard; Rosteck, Veronika
7
2016
On regularity of weak solutions to the instationary Navier-Stokes system: a review on recent results. Zbl 1304.35484
Farwig, Reinhard
7
2014
Uniqueness of solutions on the whole time axis to the Navier-Stokes equations in unbounded domains. Zbl 1334.35203
Farwig, Reinhard; Nakatsuka, Tomoyuki; Taniuchi, Yasushi
7
2015
Stokes resolvent systems in an infinite cylinder. Zbl 1131.35055
Farwig, Reinhard; Ri, Myong-Hwan
7
2007
The stationary and non-stationary Stokes system in exterior domains with non-zero divergence and non-zero boundary values. Zbl 0798.35125
Farwig, Reinhard; Sohr, Hermann
7
1994
Very weak solutions to the Navier-Stokes system in general unbounded domains. Zbl 1328.35010
Farwig, Reinhard; Riechwald, Paul Felix
6
2015
Multivariate interpolation of scattered data by moving least squares methods. Zbl 0615.41001
Farwig, R.
6
1987
Partial regularity and weighted energy estimates of global weak solutions of the Navier-Stokes system. Zbl 0865.35100
Farwig, R.
6
1996
Criteria of local in time regularity of the Navier-Stokes equations beyond Serrin’s condition. Zbl 1154.35416
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
6
2008
Uniqueness of backward asymptotically almost periodic-in-time solutions to Navier-Stokes equations in unbounded domains. Zbl 1260.35109
Farwig, Reinhard; Taniuchi, Yasushi
6
2013
On the existence of local strong solutions for the Navier-Stokes equations in completely general domains. Zbl 1194.35306
Farwig, Reinhard; Sohr, Hermann
6
2010
On the continuity of the solutions to the Navier-Stokes equations with initial data in critical Besov spaces. Zbl 1428.35285
Farwig, Reinhard; Giga, Yoshikazu; Hsu, Pen-Yuan
6
2019
The fundamental solution of linearized nonstationary Navier-Stokes equations of motion around a rotating and translating body. Zbl 1280.35087
Farwig, Reinhard; Guenther, Ronald B.; Thomann, Enrique A.; Nečasová, Šarka
6
2014
Global Leray-Hopf weak solutions of the Navier-Stokes equations with nonzero time-dependent boundary values. Zbl 1247.35090
Farwig, R.; Kozono, H.; Sohr, H.
6
2011
An approach to resolvent estimates for the Stokes equations in \(L^ q\)- spaces. Zbl 0779.35087
Farwig, Reinhard; Sohr, Hermann
5
1992
Energy-based regularity criteria for the Navier-Stokes equations. Zbl 1185.35162
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
5
2009
Existence and exponential stability in \(L^{r}\)-spaces of stationary Navier-Stokes flows with prescribed flux in infinite cylindrical domains. Zbl 1127.35040
Ri, Myong-Hwan; Farwig, Reinhard
5
2007
On the essential spectrum of a Stokes-type operator arising from flow around a rotating body in the \(L^q\)-framework. Zbl 1119.35046
Farwig, Reinhard; Neǎsová, Šárka; Neustupa, Jiří
5
2007
Necessary and sufficient conditions on local strong solvability of the Navier-Stokes system. Zbl 1209.35096
Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner
5
2011
Global weak solutions of the Navier-Stokes system with nonzero boundary conditions. Zbl 1291.35030
Farwig, R.; Kozono, H.; Sohr, H.
5
2010
Note on the flux condition and pressure drop in the resolvent problem of the Stokes system. Zbl 0847.35102
Farwig, Reinhard
5
1996
Incompressible inhomogeneous fluids in bounded domains of \(\mathbb{R}^3\) with bounded density. Zbl 1433.35222
Farwig, Reinhard; Qian, Chenyin; Zhang, Ping
5
2020
The time periodic problem of the Navier-Stokes equations in a bounded domain with moving boundary. Zbl 1478.35167
Farwig, Reinhard; Kozono, Hideo; Tsuda, Kazuyuki; Wegmann, David
5
2021
Optimal initial value conditions for local strong solutions of the Navier-Stokes equations in exterior domains. Zbl 1274.76189
Farwig, Reinhard; Komo, Christian
5
2013
Leray’s inequality in general multi-connected domains in \({\mathbb{R}^n}\). Zbl 1248.35142
Farwig, Reinhard; Kozono, Hideo; Yanagisawa, Taku
5
2012
Besov space regularity conditions for weak solutions of the Navier-Stokes equations. Zbl 1291.35177
Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner
4
2014
The Stokes resolvent problem in general unbounded domains. Zbl 1127.35035
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
4
2007
Note on Friedrichs’ inequality in \(N\)-star-shaped domains. Zbl 1342.26054
Farwig, Reinhard; Rosteck, Veronika
4
2016
Regularity criteria for weak solutions of the Navier-Stokes system in general unbounded domains. Zbl 1342.35226
Riechwald, Paul Felix; Farwig, Reinhard
4
2016
Maximal regularity of the Stokes operator in an exterior domain with moving boundary and application to the Navier-Stokes equations. Zbl 1428.35286
Farwig, Reinhard; Kozono, Hideo; Wegmann, David
4
2019
Well-chosen weak solutions of the instationary Navier-Stokes system and their uniqueness. Zbl 1397.35170
Farwig, Reinhard; Giga, Yoshikazu
4
2018
Optimality of Serrin type extension criteria to the Navier-Stokes equations. Zbl 1473.35400
Farwig, Reinhard; Kanamaru, Ryo
4
2021
An \(L^ q\)-theory for weak solutions of the Stokes system in exterior domains. Zbl 0787.35063
Farwig, R.; Simader, C. G.; Sohr, H.
3
1993
Multivariate truncated powers and B-splines with coalescent knots. Zbl 0573.41023
Farwig, R.
3
1985
Regularity of weak solutions for the Navier-Stokes equations via energy criteria. Zbl 1374.35280
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
3
2010
From Jean Leray to the millennium problem: the Navier-Stokes equations. Zbl 1492.35002
Farwig, Reinhard
3
2021
Existence of strong solutions and decay of turbulent solutions of Navier-Stokes flow with nonzero Dirichlet boundary data. Zbl 1367.35107
Farwig, Reinhard; Kozono, Hideo; Wegmann, David
3
2017
Leray’s inequality for fluid flow in symmetric multi-connected two-dimensional domains. Zbl 1256.35053
Farwig, Reinhard; Morimoto, Hiroko
3
2012
Very weak solutions and the Fujita-Kato approach to the Navier-Stokes system in general unbounded domains. Zbl 1333.35162
Farwig, Reinhard; Riechwald, Paul Felix
2
2015
Very weak solutions of the stationary Stokes equations in unbounded domains of half space type. Zbl 1349.76055
Farwig, Reinhard; Sauer, Jonas
2
2015
The weak Neumann problem and the Helmholtz decomposition in general aperture domains. Zbl 0806.35021
Farwig, R.
2
1993
An \(L^q(L^2)\)-theory of the generalized Stokes resolvent system in infinite cylinders. Zbl 1111.35034
Farwig, Reinhard; Ri, Myong-Hwan
2
2007
The fundamental solution of a modified Oseen problem. Zbl 0969.35005
Farwig, R.; Novotný, A.; Pokorný, M.
2
2000
On the type of spectral operators and the non-spectrality of several differential operators on \(L^ p\). Zbl 0473.47018
Farwig, Reinhard; Marschall, Erich
2
1981
Maximal regularity in exponentially weighted Lebesgue spaces of the Stokes operator in unbounded cylinders. Zbl 1321.35140
Ri, Myong-Hwan; Farwig, Reinhard
2
2015
Maximal \(L^1\)-regularity of generators for bounded analytic semigroups in Banach spaces. Zbl 1499.46050
Ri, Myong-Hwan; Farwig, Reinhard
2
2022
The Fujita-Kato approach for the Navier-Stokes equations with moving boundary and its application. Zbl 1493.35065
Farwig, Reinhard; Tsuda, Kazuyuki
2
2022
The time periodic problem of the Navier-Stokes equations in a bounded domain with moving boundary. Zbl 1478.35167
Farwig, Reinhard; Kozono, Hideo; Tsuda, Kazuyuki; Wegmann, David
5
2021
Optimality of Serrin type extension criteria to the Navier-Stokes equations. Zbl 1473.35400
Farwig, Reinhard; Kanamaru, Ryo
4
2021
From Jean Leray to the millennium problem: the Navier-Stokes equations. Zbl 1492.35002
Farwig, Reinhard
3
2021
Uniform estimates for fractional operators. Zbl 1464.35176
Farwig, Reinhard; Tsuda, Kazuyuki
2
2021
Incompressible inhomogeneous fluids in bounded domains of \(\mathbb{R}^3\) with bounded density. Zbl 1433.35222
Farwig, Reinhard; Qian, Chenyin; Zhang, Ping
5
2020
Asymptotic behavior for the quasi-geostrophic equations with fractional dissipation in \(\mathbb{R}^2\). Zbl 1409.35034
Farwig, Reinhard; Qian, Chenyin
8
2019
On the continuity of the solutions to the Navier-Stokes equations with initial data in critical Besov spaces. Zbl 1428.35285
Farwig, Reinhard; Giga, Yoshikazu; Hsu, Pen-Yuan
6
2019
Maximal regularity of the Stokes operator in an exterior domain with moving boundary and application to the Navier-Stokes equations. Zbl 1428.35286
Farwig, Reinhard; Kozono, Hideo; Wegmann, David
4
2019
Maximal regularity of the Stokes system with Navier boundary condition in general unbounded domains. Zbl 1434.35049
Farwig, Reinhard; Rosteck, Veronika
1
2019
Well-chosen weak solutions of the instationary Navier-Stokes system and their uniqueness. Zbl 1397.35170
Farwig, Reinhard; Giga, Yoshikazu
4
2018
Mathematical analysis in fluid mechanics: selected recent results. International conference on vorticity, rotation and symmetry (IV) – complex fluids and the issue of regularity, CIRM, Luminy, Marseille, France, May 8–12, 2017. Proceedings. Zbl 1396.35001
2
2018
Spatial asymptotic profiles of solutions to the Navier-Stokes system in a rotating frame with fast decaying data. Zbl 1401.76159
Farwig, Reinhard; Schulz, Raphael; Taniuchi, Yasushi
1
2018
The Navier-Stokes equations with initial values in Besov spaces of type \(B^{-1+3/q}_{q,\infty}\). Zbl 1390.35229
Farwig, Reinhard; Giga, Yoshikazu; Hsu, Pen-Yuan
10
2017
Existence of strong solutions and decay of turbulent solutions of Navier-Stokes flow with nonzero Dirichlet boundary data. Zbl 1367.35107
Farwig, Reinhard; Kozono, Hideo; Wegmann, David
3
2017
Decay of non-stationary Navier-Stokes flow with nonzero Dirichlet boundary data. Zbl 1390.35238
Wegmann, David; Farwig, Reinhard; Kozono, Hideo
2
2017
Jean Leray: Sur le mouvement d’un liquide visqueux emplissant l’espace. Acta Math. 63 (1934), 193–248. Zbl 1373.76004
Farwig, Reinhard
1
2017
Initial values for the Navier-Stokes equations in spaces with weights in time. Zbl 1364.35236
Farwig, Reinhard; Giga, Yoshikazu; Hsu, Pen-Yuan
14
2016
Resolvent estimates of the Stokes system with Navier boundary conditions in general unbounded domains. Zbl 1341.35098
Farwig, Reinhard; Rosteck, Veronika
7
2016
Note on Friedrichs’ inequality in \(N\)-star-shaped domains. Zbl 1342.26054
Farwig, Reinhard; Rosteck, Veronika
4
2016
Regularity criteria for weak solutions of the Navier-Stokes system in general unbounded domains. Zbl 1342.35226
Riechwald, Paul Felix; Farwig, Reinhard
4
2016
General properties of the Helmholtz decomposition in spaces of \(L^q\)-type. Zbl 1349.35292
Farwig, Reinhard; Simader, Christian; Sohr, Hermann; Varnhorn, Werner
2
2016
Existence of solutions on the whole time axis to the Navier-Stokes equations with precompact range in \(L^3\). Zbl 1321.35133
Farwig, Reinhard; Nakatsuka, Tomoyuki; Taniuchi, Yasushi
8
2015
Uniqueness of solutions on the whole time axis to the Navier-Stokes equations in unbounded domains. Zbl 1334.35203
Farwig, Reinhard; Nakatsuka, Tomoyuki; Taniuchi, Yasushi
7
2015
Very weak solutions to the Navier-Stokes system in general unbounded domains. Zbl 1328.35010
Farwig, Reinhard; Riechwald, Paul Felix
6
2015
Very weak solutions and the Fujita-Kato approach to the Navier-Stokes system in general unbounded domains. Zbl 1333.35162
Farwig, Reinhard; Riechwald, Paul Felix
2
2015
Very weak solutions of the stationary Stokes equations in unbounded domains of half space type. Zbl 1349.76055
Farwig, Reinhard; Sauer, Jonas
2
2015
Maximal regularity in exponentially weighted Lebesgue spaces of the Stokes operator in unbounded cylinders. Zbl 1321.35140
Ri, Myong-Hwan; Farwig, Reinhard
2
2015
A linearized model for compressible flow past a rotating obstacle: analysis via modified Bochner-Riesz multipliers. Zbl 1325.35163
Farwig, Reinhard; Pokorný, Milan
2
2015
Local strong solutions of the nonhomogeneous Navier-Stokes system with control of the interval of existence. Zbl 1362.35207
Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner
1
2015
Weak solutions of the Navier-Stokes equations with non-zero boundary values in an exterior domain satisfying the strong energy inequality. Zbl 1285.35065
Farwig, Reinhard; Kozono, Hideo
9
2014
On regularity of weak solutions to the instationary Navier-Stokes system: a review on recent results. Zbl 1304.35484
Farwig, Reinhard
7
2014
The fundamental solution of linearized nonstationary Navier-Stokes equations of motion around a rotating and translating body. Zbl 1280.35087
Farwig, Reinhard; Guenther, Ronald B.; Thomann, Enrique A.; Nečasová, Šarka
6
2014
Besov space regularity conditions for weak solutions of the Navier-Stokes equations. Zbl 1291.35177
Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner
4
2014
Concentration-diffusion phenomena of heat convection in an incompressible fluid. Zbl 1294.35095
Farwig, Reinhard; Schulz, Raphael; Yamazaki, Masao
1
2014
Uniqueness of backward asymptotically almost periodic-in-time solutions to Navier-Stokes equations in unbounded domains. Zbl 1260.35109
Farwig, Reinhard; Taniuchi, Yasushi
6
2013
Optimal initial value conditions for local strong solutions of the Navier-Stokes equations in exterior domains. Zbl 1274.76189
Farwig, Reinhard; Komo, Christian
5
2013
Extensions of Serrin’s uniqueness and regularity conditions for the Navier-Stokes equations. Zbl 1254.76053
Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner
11
2012
Leray’s inequality in general multi-connected domains in \({\mathbb{R}^n}\). Zbl 1248.35142
Farwig, Reinhard; Kozono, Hideo; Yanagisawa, Taku
5
2012
Leray’s inequality for fluid flow in symmetric multi-connected two-dimensional domains. Zbl 1256.35053
Farwig, Reinhard; Morimoto, Hiroko
3
2012
Asymptotic structure of a Leray solution to the Navier-Stokes flow around a rotating body. Zbl 1234.35035
Farwig, Reinhard; Galdi, Giovanni P.; Kyed, Mads
22
2011
Leading term at infinity of steady Navier-Stokes flow around a rotating obstacle. Zbl 1229.35173
Farwig, Reinhard; Hishida, Toshiaki
21
2011
Asymptotic profile of steady Stokes flow around a rotating obstacle. Zbl 1229.35172
Farwig, Reinhard; Hishida, Toshiaki
18
2011
Global weak solutions of the Navier-Stokes equations with nonhomogeneous boundary data and divergence. Zbl 1236.35103
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
10
2011
Spectral analysis of a Stokes-type operator arising from flow around a rotating body. Zbl 1223.35257
Farwig, Reinhard; Nečasová, Šárka; Neustupa, Jiří
8
2011
Uniqueness of almost periodic-in-time solutions to Navier-Stokes equations in unbounded domains. Zbl 1231.35145
Farwig, Reinhard; Taniuchi, Yasushi
8
2011
Global Leray-Hopf weak solutions of the Navier-Stokes equations with nonzero time-dependent boundary values. Zbl 1247.35090
Farwig, R.; Kozono, H.; Sohr, H.
6
2011
Necessary and sufficient conditions on local strong solvability of the Navier-Stokes system. Zbl 1209.35096
Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner
5
2011
Periodic solutions of the Navier-Stokes equations with inhomogeneous boundary conditions. Zbl 1205.35192
Farwig, Reinhard; Okabe, Takahiro
18
2010
On the energy equality of Navier-Stokes equations in general unbounded domains. Zbl 1202.35169
Farwig, Reinhard; Taniuchi, Yasushi
17
2010
Spectral properties in \(L^q\) of an Oseen operator modelling fluid flow past a rotating body. Zbl 1194.35324
Farwig, Reinhard; Neustupa, Jiří
15
2010
Regularity of weak solutions to the Navier-Stokes equations in exterior domains. Zbl 1189.76115
Farwig, Reinhard; Komo, Christian
9
2010
On the existence of local strong solutions for the Navier-Stokes equations in completely general domains. Zbl 1194.35306
Farwig, Reinhard; Sohr, Hermann
6
2010
Global weak solutions of the Navier-Stokes system with nonzero boundary conditions. Zbl 1291.35030
Farwig, R.; Kozono, H.; Sohr, H.
5
2010
Regularity of weak solutions for the Navier-Stokes equations via energy criteria. Zbl 1374.35280
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
3
2010
On optimal initial value conditions for local strong solutions of the Navier-Stokes equations. Zbl 1179.35210
Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner
32
2009
On the Stokes operator in general unbounded domains. Zbl 1170.76011
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
24
2009
Optimal initial value conditions for the existence of local strong solutions of the Navier-Stokes equations. Zbl 1173.35096
Farwig, Reinhard; Sohr, Hermann
23
2009
Existence, uniqueness and regularity of stationary solutions to inhomogeneous Navier-Stokes equations in \(\mathbb R^n\). Zbl 1224.76034
Farwig, R.; Sohr, H.
15
2009
Asymptotic profiles of steady Stokes and Navier-Stokes flows around a rotating obstacle. Zbl 1205.35191
Farwig, Reinhard; Hishida, Toshiaki
13
2009
Energy-based regularity criteria for the Navier-Stokes equations. Zbl 1185.35162
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
5
2009
Weighted \(L^2\) and \(L^q\) approaches to fluid flow past a rotating body. Zbl 1167.76048
Farwig, R.; Kračmar, S.; Krbec, M.; Nečasová, Š.; Penel, P.
2
2009
A weighted \(L^q\)-approach to Oseen flow around a rotating body. Zbl 1132.76015
Farwig, R.; Krbec, M.; Nečasová, Š.
19
2008
A weighted \(L^q\)-approach to Stokes flow around a rotating body. Zbl 1248.35158
Farwig, Reinhard; Krbec, Miroslav; Nečasová, Šárka
15
2008
Resolvent estimates and maximal regularity in weighted \(L^{q}\)-spaces of the Stokes operator in an infinite cylinder. Zbl 1162.76322
Farwig, Reinhard; Myong-Hwan, Ri
13
2008
On the spectrum of an Oseen-type operator arising from flow past a rotating body. Zbl 1180.35382
Farwig, Reinhard; Neustupa, Jiří
12
2008
Maximal regularity of the Stokes operator in general unbounded domains of \(\mathbb R^n\). Zbl 1171.35448
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
8
2008
Criteria of local in time regularity of the Navier-Stokes equations beyond Serrin’s condition. Zbl 1154.35416
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
6
2008
Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data. Zbl 1107.76022
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
37
2007
On the Helmholtz decomposition in general unbounded domains. Zbl 1121.35097
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
35
2007
Stationary Navier-Stokes flow around a rotating obstacle. Zbl 1180.35408
Farwig, Reinhard; Hishida, Toshiaki
33
2007
On the spectrum of a Stokes-type operator arising from flow around a rotating body. Zbl 1126.35050
Farwig, Reinhard; Neustupa, Jiří
29
2007
Local in time regularity properties of the Navier-Stokes equations. Zbl 1175.35100
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
13
2007
The resolvent problem and \(H^\infty\)-calculus of the Stokes operator in unbounded cylinders with several exits to infinity. Zbl 1170.35073
Farwig, Reinhard; Myong-Hwan, Ri
9
2007
Stokes resolvent systems in an infinite cylinder. Zbl 1131.35055
Farwig, Reinhard; Ri, Myong-Hwan
7
2007
Existence and exponential stability in \(L^{r}\)-spaces of stationary Navier-Stokes flows with prescribed flux in infinite cylindrical domains. Zbl 1127.35040
Ri, Myong-Hwan; Farwig, Reinhard
5
2007
On the essential spectrum of a Stokes-type operator arising from flow around a rotating body in the \(L^q\)-framework. Zbl 1119.35046
Farwig, Reinhard; Neǎsová, Šárka; Neustupa, Jiří
5
2007
The Stokes resolvent problem in general unbounded domains. Zbl 1127.35035
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
4
2007
An \(L^q(L^2)\)-theory of the generalized Stokes resolvent system in infinite cylinders. Zbl 1111.35034
Farwig, Reinhard; Ri, Myong-Hwan
2
2007
A new class of weak solutions of the Navier-Stokes equations with nonhomogeneous data. Zbl 1104.35032
Farwig, Reinhard; Galdi, Giovanni P.; Sohr, Hermann
49
2006
An \(L^q\)-analysis of viscous fluid flow past a rotating obstacle. Zbl 1136.76340
Farwig, Reinhard
47
2006
Very weak solutions and large uniqueness classes of stationary Navier-Stokes equations in bounded domains of \(\mathbb R^2\). Zbl 1119.35045
Farwig, R.; Galdi, G. P.; Sohr, H.
28
2006
An \(L^q\)-approach to Stokes and Navier-Stokes equations in general domains. Zbl 1111.35033
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
79
2005
Estimates of lower order derivatives of viscous fluid flow past a rotating obstacle. Zbl 1101.35348
Farwig, Reinhard
23
2005
Very weak solutions of stationary and instationary Navier-Stokes equations with nonhomogeneous data. Zbl 1246.35148
Farwig, Reinhard; Galdi, Giovanni P.; Sohr, Hermann
21
2005
\(L^q\)-theory of a singular ”winding” integral operator arising from fluid dynamics. Zbl 1057.35028
Farwig, Reinhard; Hishida, Toshiaki; Müller, Detlef
45
2004
Weighted \(L^q\)-Helmholtz decompositions in infinite cylinders and in infinite layers. Zbl 1038.35068
Farwig, Reinhard
10
2003
The fundamental solution of a modified Oseen problem. Zbl 0969.35005
Farwig, R.; Novotný, A.; Pokorný, M.
2
2000
Weighted estimates for the Oseen equations and the Navier-Stokes equations in exterior domains. Zbl 0934.35120
Farwig, Reinhard; Sohr, Hermann
27
1998
The stationary Navier-Stokes equations in a 3D-exterior domain. Zbl 0941.35064
Farwig, Reinhard
18
1998
Weighted \(L^q\)-theory for the Stokes resolvent in exterior domains. Zbl 0918.35106
Farwig, Reinhard; Sohr, Hermann
59
1997
Helmholtz decomposition and Stokes resolvent system for aperture domains in \(L^ q\)-spaces. Zbl 0847.35101
Farwig, Reinhard; Sohr, Hermann
29
1996
Global estimates in weighted spaces of weak solutions of the Navier-Stokes equations in exterior domains. Zbl 0855.35099
Farwig, R.; Sohr, H.
17
1996
Partial regularity and weighted energy estimates of global weak solutions of the Navier-Stokes system. Zbl 0865.35100
Farwig, R.
6
1996
Note on the flux condition and pressure drop in the resolvent problem of the Stokes system. Zbl 0847.35102
Farwig, Reinhard
5
1996
Weighted energy inequalities for the Navier-Stokes equations in exterior domains. Zbl 0833.35107
Farwig, Reinhard; Sohr, Hermann
10
1995
Generalized resolvent estimates for the Stokes system in bounded and unbounded domains. Zbl 0819.35109
Farwig, Reinhard; Sohr, Hermann
92
1994
A note on the reflection principle for the biharmonic equation and the Stokes system. Zbl 0815.31002
Farwig, Reinhard
18
1994
On the Stokes and Navier-Stokes system for domains with noncompact boundary in \(L^ q\)-spaces. Zbl 0836.35117
Farwig, Reinhard; Sohr, Hermann
12
1994
...and 14 more Documents
all top 5

Cited by 617 Authors

55 Farwig, Reinhard
26 Nečasová, Šárka
21 Amrouche, Chérif
20 Kozono, Hideo
19 Galdi, Giovanni Paolo
18 Deuring, Paul
18 Hishida, Toshiaki
16 Jin, Bumja
16 Sohr, Hermann
15 Dell’Accio, Francesco
14 Di Tommaso, Filomena
13 Giga, Yoshikazu
13 Neustupa, Jiří
12 Kračmar, Stanislav
12 Shimizu, Senjo
11 Maremonti, Paolo
11 Otárola, Enrique
10 Kyed, Mads
10 Taniuchi, Yasushi
9 Chang, Tongkeun
9 Novotný, Antonín
9 Razafison, Ulrich
9 Salgado, Abner J.
8 Abe, Ken
8 Bae, Hyeong-Ohk
8 Hieber, Matthias
8 Kim, Hyunseok
8 Matevosyan, Hovik A.
8 Meslameni, Mohamed
8 Schumacher, Katrin
8 Shibata, Yoshihiro
8 Silvestre, Ana Leonor
8 Varnhorn, Werner
7 Haroske, Dorothee D.
7 Maekawa, Yasunori
7 Medková, Dagmar
7 Qian, Chenyin
7 Wittwer, Peter
6 Crispo, Francesca
6 Han, Pigong
6 Heck, Horst
6 Kim, Dugyu
6 Nguyen Thieu Huy
6 Penel, Patrick
6 Pokorný, Milan
6 Ri, Myong-Hwan
5 Allendes, Alejandro
5 Berselli, Luigi Carlo
5 Feireisl, Eduard
5 Geissert, Matthias
5 He, Cheng
5 Komo, Christian
5 Kunstmann, Peer Christian
5 Mohan, Manil Thankamani
5 Nakatsuka, Tomoyuki
5 Pileckas, Konstantin
5 Riechwald, Paul Felix
5 Vu Thi Ngoc Ha
4 Abels, Helmut
4 Barker, Tobias
4 Bolkart, Martin
4 Della Vecchia, Biancamaria
4 Higaki, Mitsuo
4 Jin, Chunhua
4 Krbec, Miroslav
4 Kubo, Takayuki
4 Miura, Hideyuki
4 Mucha, Piotr Bogusław
4 Nouisser, Otheman
4 Okabe, Takahiro
4 Pečarić, Josip
4 Sauer, Jonas
4 Scitovski, Rudolf
4 Siar, Najoua
4 Skalák, Zdeněk
4 Suzuki, Takuya
4 Takahashi, Takéo
4 Vukelić, Ana
4 Wang, Yejuan
3 Albritton, Dallas
3 An, Rong
3 Benabidallah, Rachid
3 Bouzit, Hamid
3 Cătinaş, Teodora
3 Choe, Hi Jun
3 Duman, Oktay
3 Ebobisse, François Bille
3 Gu, Zhongyang
3 Guo, Zhengguang
3 Hayat, Tasawar
3 Kakizawa, Ryôhei
3 Kashiwabara, Takahito
3 Khai, D. Q.
3 Kobayashi, Takayuki
3 Konieczny, Paweł
3 Kreml, Ondřej
3 Li, Kaitai
3 Liang, Tongtong
3 Nguyễn Minh Trí
3 Piasecki, Tomasz
...and 517 more Authors
all top 5

Cited in 170 Serials

54 Journal of Differential Equations
48 Journal of Mathematical Fluid Mechanics
27 Journal of Mathematical Analysis and Applications
26 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
24 Archive for Rational Mechanics and Analysis
24 Mathematical Methods in the Applied Sciences
22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
22 Journal of Evolution Equations
19 Mathematische Nachrichten
17 Mathematische Annalen
13 Journal of Functional Analysis
13 Journal of the Mathematical Society of Japan
11 Journal of Computational and Applied Mathematics
8 Archiv der Mathematik
8 SIAM Journal on Mathematical Analysis
8 NoDEA. Nonlinear Differential Equations and Applications
8 Discrete and Continuous Dynamical Systems
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Applied Mathematics and Computation
7 Czechoslovak Mathematical Journal
7 Manuscripta Mathematica
7 Nonlinear Analysis. Real World Applications
6 Communications in Mathematical Physics
6 Journal of Mathematical Physics
6 Mathematische Zeitschrift
6 Proceedings of the American Mathematical Society
6 Acta Applicandae Mathematicae
6 Applied Mathematics Letters
6 Discrete and Continuous Dynamical Systems. Series B
5 Applicable Analysis
5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
5 Applied Numerical Mathematics
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Discrete and Continuous Dynamical Systems. Series S
5 SN Partial Differential Equations and Applications
4 Computers & Mathematics with Applications
4 Mathematics of Computation
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Journal of Approximation Theory
4 Zeitschrift für Analysis und ihre Anwendungen
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Communications in Partial Differential Equations
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Journal of Elliptic and Parabolic Equations
3 Numerische Mathematik
3 Results in Mathematics
3 Applications of Mathematics
3 Numerical Algorithms
3 Calculus of Variations and Partial Differential Equations
3 Journal of Mathematical Sciences (New York)
3 Engineering Analysis with Boundary Elements
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 Acta Mathematica Scientia. Series B. (English Edition)
3 Communications on Pure and Applied Analysis
3 Boundary Value Problems
3 Complex Variables and Elliptic Equations
3 Science China. Mathematics
2 Computer Physics Communications
2 Lithuanian Mathematical Journal
2 Nonlinearity
2 Acta Mathematica
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Calcolo
2 Journal für die Reine und Angewandte Mathematik
2 Monatshefte für Mathematik
2 Quarterly of Applied Mathematics
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Tôhoku Mathematical Journal. Second Series
2 Transactions of the American Mathematical Society
2 Journal of Scientific Computing
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Journal of Nonlinear Science
2 Potential Analysis
2 SIAM Journal on Scientific Computing
2 Advances in Differential Equations
2 Journal of Inequalities and Applications
2 Analysis (München)
2 Acta Mathematica Sinica. English Series
2 Lobachevskii Journal of Mathematics
2 Differential Equations
2 Mediterranean Journal of Mathematics
2 Analysis and Mathematical Physics
2 Dolomites Research Notes on Approximation
2 Stochastic and Partial Differential Equations. Analysis and Computations
2 Advances in Nonlinear Analysis
2 Séminaire Laurent Schwartz. EDP et Applications
1 Analysis Mathematica
1 Biological Cybernetics
1 Computer Methods in Applied Mechanics and Engineering
1 International Journal of Engineering Science
1 International Journal for Numerical Methods in Fluids
1 Inverse Problems
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Fluid Mechanics
1 Physica A
1 Physics Reports
1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
1 Applied Mathematics and Optimization
1 BIT
...and 70 more Serials
all top 5

Cited in 40 Fields

585 Partial differential equations (35-XX)
503 Fluid mechanics (76-XX)
70 Numerical analysis (65-XX)
41 Functional analysis (46-XX)
37 Approximations and expansions (41-XX)
35 Operator theory (47-XX)
24 Harmonic analysis on Euclidean spaces (42-XX)
21 Mechanics of deformable solids (74-XX)
15 Real functions (26-XX)
15 Biology and other natural sciences (92-XX)
14 Potential theory (31-XX)
14 Probability theory and stochastic processes (60-XX)
11 Geophysics (86-XX)
8 Classical thermodynamics, heat transfer (80-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
7 Systems theory; control (93-XX)
6 Ordinary differential equations (34-XX)
6 Dynamical systems and ergodic theory (37-XX)
6 Integral equations (45-XX)
5 Functions of a complex variable (30-XX)
5 Mechanics of particles and systems (70-XX)
4 Computer science (68-XX)
4 Quantum theory (81-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 Special functions (33-XX)
3 Abstract harmonic analysis (43-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Statistics (62-XX)
2 History and biography (01-XX)
2 Measure and integration (28-XX)
2 Integral transforms, operational calculus (44-XX)
2 Optics, electromagnetic theory (78-XX)
1 General and overarching topics; collections (00-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Nonassociative rings and algebras (17-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Astronomy and astrophysics (85-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year