Edit Profile (opens in new tab) Farwig, Reinhard Co-Author Distance Author ID: 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 Documents Indexed: 124 Publications since 1981 3 Contributions as Editor Co-Authors: 39 Co-Authors with 101 Joint Publications 644 Co-Co-Authors all top 5 Co-Authors 25 single-authored 35 Sohr, Hermann 19 Kozono, Hideo 8 Neustupa, Jiří 7 Nečasová, Šárka 6 Taniuchi, Yasushi 6 Varnhorn, Werner 5 Hishida, Toshiaki 5 Ri, Myong-Hwan 4 Galdi, Giovanni Paolo 4 Giga, Yoshikazu 4 Qian, Chenyin 4 Wegmann, David 3 Hsu, Pen-Yuan 3 Krbec, Miroslav 3 Penel, Patrick 3 Riechwald, Paul Felix 3 Rosteck, Veronika 3 Tsuda, Kazuyuki 3 Zwick, Daniel S. 2 Danchin, Raphaël 2 Komo, Christian 2 Myong-Hwan, Ri 2 Nakatsuka, Tomoyuki 2 Pokorný, Milan 2 Schulz, Raphael 2 Simader, Christian Georg 1 Guenther, Ronald B. 1 Kanamaru, Ryo 1 Kračmar, Stanislav 1 Kyed, Mads 1 Marschall, Erich 1 Morimoto, Hiroko 1 Müller, Detlef 1 Novotný, Antonín 1 Okabe, Takahiro 1 Sauer, Jonas 1 Thomann, Enrique A. 1 Yamazaki, Masao 1 Yanagisawa, Taku all top 5 Serials 6 Journal of Mathematical Fluid Mechanics 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 Archiv der Mathematik 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 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 all top 5 Fields 115 Partial differential equations (35-XX) 99 Fluid mechanics (76-XX) 13 Operator theory (47-XX) 9 Functional analysis (46-XX) 7 Approximations and expansions (41-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 4 General and overarching topics; collections (00-XX) 4 Numerical analysis (65-XX) 3 Real functions (26-XX) 2 History and biography (01-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of deformable solids (74-XX) 2 Geophysics (86-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 111 Publications have been cited 1,359 times in 621 Documents Cited by ▼ Year ▼ Generalized resolvent estimates for the Stokes system in bounded and unbounded domains. Zbl 0819.35109Farwig, Reinhard; Sohr, Hermann 86 1994 An \(L^q\)-approach to Stokes and Navier-Stokes equations in general domains. Zbl 1111.35033Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 69 2005 The stationary exterior 3D-problem of Oseen and Navier-Stokes equations in anisotropically weighted spaces. Zbl 0727.35106Farwig, Reinhard 53 1992 Weighted \(L^q\)-theory for the Stokes resolvent in exterior domains. Zbl 0918.35106Farwig, Reinhard; Sohr, Hermann 50 1997 An \(L^q\)-analysis of viscous fluid flow past a rotating obstacle. Zbl 1136.76340Farwig, Reinhard 46 2006 A new class of weak solutions of the Navier-Stokes equations with nonhomogeneous data. Zbl 1104.35032Farwig, Reinhard; Galdi, Giovanni P.; Sohr, Hermann 45 2006 \(L^q\)-theory of a singular ”winding” integral operator arising from fluid dynamics. Zbl 1057.35028Farwig, Reinhard; Hishida, Toshiaki; Müller, Detlef 44 2004 Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data. Zbl 1107.76022Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 34 2007 Rate of convergence of Shepard’s global interpolation formula. Zbl 0607.41005Farwig, Reinhard 30 1986 On optimal initial value conditions for local strong solutions of the Navier-Stokes equations. Zbl 1179.35210Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner 30 2009 Stationary Navier-Stokes flow around a rotating obstacle. Zbl 1180.35408Farwig, Reinhard; Hishida, Toshiaki 30 2007 On the Helmholtz decomposition in general unbounded domains. Zbl 1121.35097Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 29 2007 Stationary solutions of compressible Navier-Stokes equations with slip boundary condition. Zbl 0701.35127Farwig, Reinhard 26 1989 On the spectrum of a Stokes-type operator arising from flow around a rotating body. Zbl 1126.35050Farwig, Reinhard; Neustupa, Jiří 26 2007 Helmholtz decomposition and Stokes resolvent system for aperture domains in \(L^ q\)-spaces. Zbl 0847.35101Farwig, Reinhard; Sohr, Hermann 26 1996 Very weak solutions and large uniqueness classes of stationary Navier-Stokes equations in bounded domains of \(\mathbb R^2\). Zbl 1119.35045Farwig, R.; Galdi, G. P.; Sohr, H. 25 2006 Estimates of lower order derivatives of viscous fluid flow past a rotating obstacle. Zbl 1101.35348Farwig, Reinhard 23 2005 Weighted estimates for the Oseen equations and the Navier-Stokes equations in exterior domains. Zbl 0934.35120Farwig, Reinhard; Sohr, Hermann 23 1998 On the Stokes operator in general unbounded domains. Zbl 1170.76011Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 22 2009 Optimal initial value conditions for the existence of local strong solutions of the Navier-Stokes equations. Zbl 1173.35096Farwig, Reinhard; Sohr, Hermann 21 2009 A weighted \(L^q\)-approach to Oseen flow around a rotating body. Zbl 1132.76015Farwig, R.; Krbec, M.; Nečasová, Š. 19 2008 Asymptotic structure of a Leray solution to the Navier-Stokes flow around a rotating body. Zbl 1234.35035Farwig, Reinhard; Galdi, Giovanni P.; Kyed, Mads 19 2011 Leading term at infinity of steady Navier-Stokes flow around a rotating obstacle. Zbl 1229.35173Farwig, Reinhard; Hishida, Toshiaki 19 2011 A note on the reflection principle for the biharmonic equation and the Stokes system. Zbl 0815.31002Farwig, Reinhard 18 1994 Very weak solutions of stationary and instationary Navier-Stokes equations with nonhomogeneous data. Zbl 1246.35148Farwig, Reinhard; Galdi, Giovanni P.; Sohr, Hermann 18 2005 The stationary Navier-Stokes equations in a 3D-exterior domain. Zbl 0941.35064Farwig, Reinhard 18 1998 On the energy equality of Navier-Stokes equations in general unbounded domains. Zbl 1202.35169Farwig, Reinhard; Taniuchi, Yasushi 17 2010 Global estimates in weighted spaces of weak solutions of the Navier-Stokes equations in exterior domains. Zbl 0855.35099Farwig, R.; Sohr, H. 17 1996 Asymptotic profile of steady Stokes flow around a rotating obstacle. Zbl 1229.35172Farwig, Reinhard; Hishida, Toshiaki 17 2011 Existence, uniqueness and regularity of stationary solutions to inhomogeneous Navier-Stokes equations in \(\mathbb R^n\). Zbl 1224.76034Farwig, R.; Sohr, H. 15 2009 A weighted \(L^q\)-approach to Stokes flow around a rotating body. Zbl 1248.35158Farwig, Reinhard; Krbec, Miroslav; Nečasová, Šárka 15 2008 Periodic solutions of the Navier-Stokes equations with inhomogeneous boundary conditions. Zbl 1205.35192Farwig, Reinhard; Okabe, Takahiro 15 2010 Multivariate interpolation of arbitrarily spaced data by moving least squares methods. Zbl 0636.65007Farwig, Reinhard 15 1986 Spectral properties in \(L^q\) of an Oseen operator modelling fluid flow past a rotating body. Zbl 1194.35324Farwig, Reinhard; Neustupa, Jiří 14 2010 Asymptotic profiles of steady Stokes and Navier-Stokes flows around a rotating obstacle. Zbl 1205.35191Farwig, Reinhard; Hishida, Toshiaki 13 2009 Local in time regularity properties of the Navier-Stokes equations. Zbl 1175.35100Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 13 2007 On the spectrum of an Oseen-type operator arising from flow past a rotating body. Zbl 1180.35382Farwig, Reinhard; Neustupa, Jiří 12 2008 Resolvent estimates and maximal regularity in weighted \(L^{q}\)-spaces of the Stokes operator in an infinite cylinder. Zbl 1162.76322Farwig, Reinhard; Myong-Hwan, Ri 12 2008 On the Stokes and Navier-Stokes system for domains with noncompact boundary in \(L^ q\)-spaces. Zbl 0836.35117Farwig, Reinhard; Sohr, Hermann 11 1994 Extensions of Serrin’s uniqueness and regularity conditions for the Navier-Stokes equations. Zbl 1254.76053Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner 11 2012 Initial values for the Navier-Stokes equations in spaces with weights in time. Zbl 1364.35236Farwig, Reinhard; Giga, Yoshikazu; Hsu, Pen-Yuan 11 2016 Weighted energy inequalities for the Navier-Stokes equations in exterior domains. Zbl 0833.35107Farwig, Reinhard; Sohr, Hermann 10 1995 Regularity of weak solutions to the Navier-Stokes equations in exterior domains. Zbl 1189.76115Farwig, Reinhard; Komo, Christian 9 2010 Weighted \(L^q\)-Helmholtz decompositions in infinite cylinders and in infinite layers. Zbl 1038.35068Farwig, Reinhard 9 2003 The Navier-Stokes equations with initial values in Besov spaces of type \(B^{-1+3/q}_{q,\infty}\). Zbl 1390.35229Farwig, Reinhard; Giga, Yoshikazu; Hsu, Pen-Yuan 8 2017 The resolvent problem and \(H^\infty\)-calculus of the Stokes operator in unbounded cylinders with several exits to infinity. Zbl 1170.35073Farwig, Reinhard; Myong-Hwan, Ri 8 2007 A variational approach in weighted Sobolev spaces to the operator \(- \Delta +\partial /\partial x_ 1\) in exterior domains of \({\mathbb{R}}^ 3\). Zbl 0727.35041Farwig, Reinhard 8 1992 Weak solutions of the Navier-Stokes equations with non-zero boundary values in an exterior domain satisfying the strong energy inequality. Zbl 1285.35065Farwig, Reinhard; Kozono, Hideo 8 2014 Global weak solutions of the Navier-Stokes equations with nonhomogeneous boundary data and divergence. Zbl 1236.35103Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 8 2011 Existence of solutions on the whole time axis to the Navier-Stokes equations with precompact range in \(L^3\). Zbl 1321.35133Farwig, Reinhard; Nakatsuka, Tomoyuki; Taniuchi, Yasushi 7 2015 On regularity of weak solutions to the instationary Navier-Stokes system: a review on recent results. Zbl 1304.35484Farwig, Reinhard 7 2014 The stationary and non-stationary Stokes system in exterior domains with non-zero divergence and non-zero boundary values. Zbl 0798.35125Farwig, Reinhard; Sohr, Hermann 7 1994 Spectral analysis of a Stokes-type operator arising from flow around a rotating body. Zbl 1223.35257Farwig, Reinhard; Nečasová, Šárka; Neustupa, Jiří 7 2011 Maximal regularity of the Stokes operator in general unbounded domains of \(\mathbb R^n\). Zbl 1171.35448Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 7 2008 Uniqueness of almost periodic-in-time solutions to Navier-Stokes equations in unbounded domains. Zbl 1231.35145Farwig, Reinhard; Taniuchi, Yasushi 7 2011 The fundamental solution of linearized nonstationary Navier-Stokes equations of motion around a rotating and translating body. Zbl 1280.35087Farwig, Reinhard; Guenther, Ronald B.; Thomann, Enrique A.; Nečasová, Šarka 6 2014 Some divided difference inequalities for n-convex functions. Zbl 0579.41011Farwig, R.; Zwick, D. 6 1985 Very weak solutions to the Navier-Stokes system in general unbounded domains. Zbl 1328.35010Farwig, Reinhard; Riechwald, Paul Felix 6 2015 On the existence of local strong solutions for the Navier-Stokes equations in completely general domains. Zbl 1194.35306Farwig, Reinhard; Sohr, Hermann 6 2010 Criteria of local in time regularity of the Navier-Stokes equations beyond Serrin’s condition. Zbl 1154.35416Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 6 2008 Global Leray-Hopf weak solutions of the Navier-Stokes equations with nonzero time-dependent boundary values. Zbl 1247.35090Farwig, R.; Kozono, H.; Sohr, H. 6 2011 Stokes resolvent systems in an infinite cylinder. Zbl 1131.35055Farwig, Reinhard; Ri, Myong-Hwan 6 2007 Partial regularity and weighted energy estimates of global weak solutions of the Navier-Stokes system. Zbl 0865.35100Farwig, R. 6 1996 Optimal initial value conditions for local strong solutions of the Navier-Stokes equations in exterior domains. Zbl 1274.76189Farwig, Reinhard; Komo, Christian 5 2013 Multivariate interpolation of scattered data by moving least squares methods. Zbl 0615.41001Farwig, R. 5 1987 Uniqueness of solutions on the whole time axis to the Navier-Stokes equations in unbounded domains. Zbl 1334.35203Farwig, Reinhard; Nakatsuka, Tomoyuki; Taniuchi, Yasushi 5 2015 Necessary and sufficient conditions on local strong solvability of the Navier-Stokes system. Zbl 1209.35096Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner 5 2011 Global weak solutions of the Navier-Stokes system with nonzero boundary conditions. Zbl 1291.35030Farwig, R.; Kozono, H.; Sohr, H. 5 2010 Leray’s inequality in general multi-connected domains in \({\mathbb{R}^n}\). Zbl 1248.35142Farwig, Reinhard; Kozono, Hideo; Yanagisawa, Taku 5 2012 Existence and exponential stability in \(L^{r}\)-spaces of stationary Navier-Stokes flows with prescribed flux in infinite cylindrical domains. Zbl 1127.35040Ri, Myong-Hwan; Farwig, Reinhard 5 2007 Uniqueness of backward asymptotically almost periodic-in-time solutions to Navier-Stokes equations in unbounded domains. Zbl 1260.35109Farwig, Reinhard; Taniuchi, Yasushi 5 2013 Resolvent estimates of the Stokes system with Navier boundary conditions in general unbounded domains. Zbl 1341.35098Farwig, Reinhard; Rosteck, Veronika 5 2016 An approach to resolvent estimates for the Stokes equations in \(L^ q\)- spaces. Zbl 0779.35087Farwig, Reinhard; Sohr, Hermann 5 1992 The time periodic problem of the Navier-Stokes equations in a bounded domain with moving boundary. Zbl 1478.35167Farwig, Reinhard; Kozono, Hideo; Tsuda, Kazuyuki; Wegmann, David 5 2021 Energy-based regularity criteria for the Navier-Stokes equations. Zbl 1185.35162Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 5 2009 Maximal regularity of the Stokes operator in an exterior domain with moving boundary and application to the Navier-Stokes equations. Zbl 1428.35286Farwig, Reinhard; Kozono, Hideo; Wegmann, David 4 2019 Regularity criteria for weak solutions of the Navier-Stokes system in general unbounded domains. Zbl 1342.35226Riechwald, Paul Felix; Farwig, Reinhard 4 2016 The Stokes resolvent problem in general unbounded domains. Zbl 1127.35035Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 4 2007 Note on the flux condition and pressure drop in the resolvent problem of the Stokes system. Zbl 0847.35102Farwig, Reinhard 4 1996 Asymptotic behavior for the quasi-geostrophic equations with fractional dissipation in \(\mathbb{R}^2\). Zbl 1409.35034Farwig, Reinhard; Qian, Chenyin 4 2019 Besov space regularity conditions for weak solutions of the Navier-Stokes equations. Zbl 1291.35177Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner 4 2014 On the continuity of the solutions to the Navier-Stokes equations with initial data in critical Besov spaces. Zbl 1428.35285Farwig, Reinhard; Giga, Yoshikazu; Hsu, Pen-Yuan 3 2019 Multivariate truncated powers and B-splines with coalescent knots. Zbl 0573.41023Farwig, R. 3 1985 An \(L^ q\)-theory for weak solutions of the Stokes system in exterior domains. Zbl 0787.35063Farwig, R.; Simader, C. G.; Sohr, H. 3 1993 Leray’s inequality for fluid flow in symmetric multi-connected two-dimensional domains. Zbl 1256.35053Farwig, Reinhard; Morimoto, Hiroko 3 2012 On the essential spectrum of a Stokes-type operator arising from flow around a rotating body in the \(L^q\)-framework. Zbl 1119.35046Farwig, Reinhard; Neǎsová, Šárka; Neustupa, Jiří 3 2007 Note on Friedrichs’ inequality in \(N\)-star-shaped domains. Zbl 1342.26054Farwig, Reinhard; Rosteck, Veronika 3 2016 Regularity of weak solutions for the Navier-Stokes equations via energy criteria. Zbl 1374.35280Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 3 2010 Well-chosen weak solutions of the instationary Navier-Stokes system and their uniqueness. Zbl 1397.35170Farwig, Reinhard; Giga, Yoshikazu 3 2018 Existence of strong solutions and decay of turbulent solutions of Navier-Stokes flow with nonzero Dirichlet boundary data. Zbl 1367.35107Farwig, Reinhard; Kozono, Hideo; Wegmann, David 3 2017 Optimality of Serrin type extension criteria to the Navier-Stokes equations. Zbl 1473.35400Farwig, Reinhard; Kanamaru, Ryo 2 2021 Incompressible inhomogeneous fluids in bounded domains of \(\mathbb{R}^3\) with bounded density. Zbl 1433.35222Farwig, Reinhard; Qian, Chenyin; Zhang, Ping 2 2020 Maximal regularity in exponentially weighted Lebesgue spaces of the Stokes operator in unbounded cylinders. Zbl 1321.35140Ri, Myong-Hwan; Farwig, Reinhard 2 2015 The weak Neumann problem and the Helmholtz decomposition in general aperture domains. Zbl 0806.35021Farwig, R. 2 1993 Weighted \(L^2\) and \(L^q\) approaches to fluid flow past a rotating body. Zbl 1167.76048Farwig, R.; Kračmar, S.; Krbec, M.; Nečasová, Š.; Penel, P. 2 2009 On the type of spectral operators and the non-spectrality of several differential operators on \(L^ p\). Zbl 0473.47018Farwig, Reinhard; Marschall, Erich 2 1981 An \(L^q(L^2)\)-theory of the generalized Stokes resolvent system in infinite cylinders. Zbl 1111.35034Farwig, Reinhard; Ri, Myong-Hwan 2 2007 General properties of the Helmholtz decomposition in spaces of \(L^q\)-type. Zbl 1349.35292Farwig, Reinhard; Simader, Christian; Sohr, Hermann; Varnhorn, Werner 2 2016 The fundamental solution of a modified Oseen problem. Zbl 0969.35005Farwig, R.; Novotný, A.; Pokorný, M. 2 2000 Uniform estimates for fractional operators. Zbl 1464.35176Farwig, Reinhard; Tsuda, Kazuyuki 2 2021 The Fujita-Kato approach for the Navier-Stokes equations with moving boundary and its application. Zbl 1493.35065Farwig, Reinhard; Tsuda, Kazuyuki 1 2022 The time periodic problem of the Navier-Stokes equations in a bounded domain with moving boundary. Zbl 1478.35167Farwig, Reinhard; Kozono, Hideo; Tsuda, Kazuyuki; Wegmann, David 5 2021 Optimality of Serrin type extension criteria to the Navier-Stokes equations. Zbl 1473.35400Farwig, Reinhard; Kanamaru, Ryo 2 2021 Uniform estimates for fractional operators. Zbl 1464.35176Farwig, Reinhard; Tsuda, Kazuyuki 2 2021 Incompressible inhomogeneous fluids in bounded domains of \(\mathbb{R}^3\) with bounded density. Zbl 1433.35222Farwig, Reinhard; Qian, Chenyin; Zhang, Ping 2 2020 Maximal regularity of the Stokes operator in an exterior domain with moving boundary and application to the Navier-Stokes equations. Zbl 1428.35286Farwig, Reinhard; Kozono, Hideo; Wegmann, David 4 2019 Asymptotic behavior for the quasi-geostrophic equations with fractional dissipation in \(\mathbb{R}^2\). Zbl 1409.35034Farwig, Reinhard; Qian, Chenyin 4 2019 On the continuity of the solutions to the Navier-Stokes equations with initial data in critical Besov spaces. Zbl 1428.35285Farwig, Reinhard; Giga, Yoshikazu; Hsu, Pen-Yuan 3 2019 Well-chosen weak solutions of the instationary Navier-Stokes system and their uniqueness. Zbl 1397.35170Farwig, Reinhard; Giga, Yoshikazu 3 2018 Spatial asymptotic profiles of solutions to the Navier-Stokes system in a rotating frame with fast decaying data. Zbl 1401.76159Farwig, Reinhard; Schulz, Raphael; Taniuchi, Yasushi 1 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 1 2018 The Navier-Stokes equations with initial values in Besov spaces of type \(B^{-1+3/q}_{q,\infty}\). Zbl 1390.35229Farwig, Reinhard; Giga, Yoshikazu; Hsu, Pen-Yuan 8 2017 Existence of strong solutions and decay of turbulent solutions of Navier-Stokes flow with nonzero Dirichlet boundary data. Zbl 1367.35107Farwig, Reinhard; Kozono, Hideo; Wegmann, David 3 2017 Decay of non-stationary Navier-Stokes flow with nonzero Dirichlet boundary data. Zbl 1390.35238Wegmann, David; Farwig, Reinhard; Kozono, Hideo 1 2017 Jean Leray: Sur le mouvement d’un liquide visqueux emplissant l’espace. Acta Math. 63 (1934), 193–248. Zbl 1373.76004Farwig, Reinhard 1 2017 Initial values for the Navier-Stokes equations in spaces with weights in time. Zbl 1364.35236Farwig, Reinhard; Giga, Yoshikazu; Hsu, Pen-Yuan 11 2016 Resolvent estimates of the Stokes system with Navier boundary conditions in general unbounded domains. Zbl 1341.35098Farwig, Reinhard; Rosteck, Veronika 5 2016 Regularity criteria for weak solutions of the Navier-Stokes system in general unbounded domains. Zbl 1342.35226Riechwald, Paul Felix; Farwig, Reinhard 4 2016 Note on Friedrichs’ inequality in \(N\)-star-shaped domains. Zbl 1342.26054Farwig, Reinhard; Rosteck, Veronika 3 2016 General properties of the Helmholtz decomposition in spaces of \(L^q\)-type. Zbl 1349.35292Farwig, 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 1321.35133Farwig, Reinhard; Nakatsuka, Tomoyuki; Taniuchi, Yasushi 7 2015 Very weak solutions to the Navier-Stokes system in general unbounded domains. Zbl 1328.35010Farwig, Reinhard; Riechwald, Paul Felix 6 2015 Uniqueness of solutions on the whole time axis to the Navier-Stokes equations in unbounded domains. Zbl 1334.35203Farwig, Reinhard; Nakatsuka, Tomoyuki; Taniuchi, Yasushi 5 2015 Maximal regularity in exponentially weighted Lebesgue spaces of the Stokes operator in unbounded cylinders. Zbl 1321.35140Ri, Myong-Hwan; Farwig, Reinhard 2 2015 A linearized model for compressible flow past a rotating obstacle: analysis via modified Bochner-Riesz multipliers. Zbl 1325.35163Farwig, Reinhard; Pokorný, Milan 2 2015 Very weak solutions and the Fujita-Kato approach to the Navier-Stokes system in general unbounded domains. Zbl 1333.35162Farwig, Reinhard; Riechwald, Paul Felix 2 2015 Very weak solutions of the stationary Stokes equations in unbounded domains of half space type. Zbl 1349.76055Farwig, Reinhard; Sauer, Jonas 1 2015 Local strong solutions of the nonhomogeneous Navier-Stokes system with control of the interval of existence. Zbl 1362.35207Farwig, 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 1285.35065Farwig, Reinhard; Kozono, Hideo 8 2014 On regularity of weak solutions to the instationary Navier-Stokes system: a review on recent results. Zbl 1304.35484Farwig, Reinhard 7 2014 The fundamental solution of linearized nonstationary Navier-Stokes equations of motion around a rotating and translating body. Zbl 1280.35087Farwig, Reinhard; Guenther, Ronald B.; Thomann, Enrique A.; Nečasová, Šarka 6 2014 Besov space regularity conditions for weak solutions of the Navier-Stokes equations. Zbl 1291.35177Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner 4 2014 Concentration-diffusion phenomena of heat convection in an incompressible fluid. Zbl 1294.35095Farwig, Reinhard; Schulz, Raphael; Yamazaki, Masao 1 2014 Optimal initial value conditions for local strong solutions of the Navier-Stokes equations in exterior domains. Zbl 1274.76189Farwig, Reinhard; Komo, Christian 5 2013 Uniqueness of backward asymptotically almost periodic-in-time solutions to Navier-Stokes equations in unbounded domains. Zbl 1260.35109Farwig, Reinhard; Taniuchi, Yasushi 5 2013 Extensions of Serrin’s uniqueness and regularity conditions for the Navier-Stokes equations. Zbl 1254.76053Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner 11 2012 Leray’s inequality in general multi-connected domains in \({\mathbb{R}^n}\). Zbl 1248.35142Farwig, Reinhard; Kozono, Hideo; Yanagisawa, Taku 5 2012 Leray’s inequality for fluid flow in symmetric multi-connected two-dimensional domains. Zbl 1256.35053Farwig, Reinhard; Morimoto, Hiroko 3 2012 Asymptotic structure of a Leray solution to the Navier-Stokes flow around a rotating body. Zbl 1234.35035Farwig, Reinhard; Galdi, Giovanni P.; Kyed, Mads 19 2011 Leading term at infinity of steady Navier-Stokes flow around a rotating obstacle. Zbl 1229.35173Farwig, Reinhard; Hishida, Toshiaki 19 2011 Asymptotic profile of steady Stokes flow around a rotating obstacle. Zbl 1229.35172Farwig, Reinhard; Hishida, Toshiaki 17 2011 Global weak solutions of the Navier-Stokes equations with nonhomogeneous boundary data and divergence. Zbl 1236.35103Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 8 2011 Spectral analysis of a Stokes-type operator arising from flow around a rotating body. Zbl 1223.35257Farwig, Reinhard; Nečasová, Šárka; Neustupa, Jiří 7 2011 Uniqueness of almost periodic-in-time solutions to Navier-Stokes equations in unbounded domains. Zbl 1231.35145Farwig, Reinhard; Taniuchi, Yasushi 7 2011 Global Leray-Hopf weak solutions of the Navier-Stokes equations with nonzero time-dependent boundary values. Zbl 1247.35090Farwig, R.; Kozono, H.; Sohr, H. 6 2011 Necessary and sufficient conditions on local strong solvability of the Navier-Stokes system. Zbl 1209.35096Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner 5 2011 On the energy equality of Navier-Stokes equations in general unbounded domains. Zbl 1202.35169Farwig, Reinhard; Taniuchi, Yasushi 17 2010 Periodic solutions of the Navier-Stokes equations with inhomogeneous boundary conditions. Zbl 1205.35192Farwig, Reinhard; Okabe, Takahiro 15 2010 Spectral properties in \(L^q\) of an Oseen operator modelling fluid flow past a rotating body. Zbl 1194.35324Farwig, Reinhard; Neustupa, Jiří 14 2010 Regularity of weak solutions to the Navier-Stokes equations in exterior domains. Zbl 1189.76115Farwig, Reinhard; Komo, Christian 9 2010 On the existence of local strong solutions for the Navier-Stokes equations in completely general domains. Zbl 1194.35306Farwig, Reinhard; Sohr, Hermann 6 2010 Global weak solutions of the Navier-Stokes system with nonzero boundary conditions. Zbl 1291.35030Farwig, R.; Kozono, H.; Sohr, H. 5 2010 Regularity of weak solutions for the Navier-Stokes equations via energy criteria. Zbl 1374.35280Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 3 2010 On optimal initial value conditions for local strong solutions of the Navier-Stokes equations. Zbl 1179.35210Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner 30 2009 On the Stokes operator in general unbounded domains. Zbl 1170.76011Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 22 2009 Optimal initial value conditions for the existence of local strong solutions of the Navier-Stokes equations. Zbl 1173.35096Farwig, Reinhard; Sohr, Hermann 21 2009 Existence, uniqueness and regularity of stationary solutions to inhomogeneous Navier-Stokes equations in \(\mathbb R^n\). Zbl 1224.76034Farwig, R.; Sohr, H. 15 2009 Asymptotic profiles of steady Stokes and Navier-Stokes flows around a rotating obstacle. Zbl 1205.35191Farwig, Reinhard; Hishida, Toshiaki 13 2009 Energy-based regularity criteria for the Navier-Stokes equations. Zbl 1185.35162Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 5 2009 Weighted \(L^2\) and \(L^q\) approaches to fluid flow past a rotating body. Zbl 1167.76048Farwig, R.; Kračmar, S.; Krbec, M.; Nečasová, Š.; Penel, P. 2 2009 A weighted \(L^q\)-approach to Oseen flow around a rotating body. Zbl 1132.76015Farwig, R.; Krbec, M.; Nečasová, Š. 19 2008 A weighted \(L^q\)-approach to Stokes flow around a rotating body. Zbl 1248.35158Farwig, Reinhard; Krbec, Miroslav; Nečasová, Šárka 15 2008 On the spectrum of an Oseen-type operator arising from flow past a rotating body. Zbl 1180.35382Farwig, Reinhard; Neustupa, Jiří 12 2008 Resolvent estimates and maximal regularity in weighted \(L^{q}\)-spaces of the Stokes operator in an infinite cylinder. Zbl 1162.76322Farwig, Reinhard; Myong-Hwan, Ri 12 2008 Maximal regularity of the Stokes operator in general unbounded domains of \(\mathbb R^n\). Zbl 1171.35448Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 7 2008 Criteria of local in time regularity of the Navier-Stokes equations beyond Serrin’s condition. Zbl 1154.35416Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 6 2008 Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data. Zbl 1107.76022Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 34 2007 Stationary Navier-Stokes flow around a rotating obstacle. Zbl 1180.35408Farwig, Reinhard; Hishida, Toshiaki 30 2007 On the Helmholtz decomposition in general unbounded domains. Zbl 1121.35097Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 29 2007 On the spectrum of a Stokes-type operator arising from flow around a rotating body. Zbl 1126.35050Farwig, Reinhard; Neustupa, Jiří 26 2007 Local in time regularity properties of the Navier-Stokes equations. Zbl 1175.35100Farwig, 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 1170.35073Farwig, Reinhard; Myong-Hwan, Ri 8 2007 Stokes resolvent systems in an infinite cylinder. Zbl 1131.35055Farwig, Reinhard; Ri, Myong-Hwan 6 2007 Existence and exponential stability in \(L^{r}\)-spaces of stationary Navier-Stokes flows with prescribed flux in infinite cylindrical domains. Zbl 1127.35040Ri, Myong-Hwan; Farwig, Reinhard 5 2007 The Stokes resolvent problem in general unbounded domains. Zbl 1127.35035Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 4 2007 On the essential spectrum of a Stokes-type operator arising from flow around a rotating body in the \(L^q\)-framework. Zbl 1119.35046Farwig, Reinhard; Neǎsová, Šárka; Neustupa, Jiří 3 2007 An \(L^q(L^2)\)-theory of the generalized Stokes resolvent system in infinite cylinders. Zbl 1111.35034Farwig, Reinhard; Ri, Myong-Hwan 2 2007 An \(L^q\)-analysis of viscous fluid flow past a rotating obstacle. Zbl 1136.76340Farwig, Reinhard 46 2006 A new class of weak solutions of the Navier-Stokes equations with nonhomogeneous data. Zbl 1104.35032Farwig, Reinhard; Galdi, Giovanni P.; Sohr, Hermann 45 2006 Very weak solutions and large uniqueness classes of stationary Navier-Stokes equations in bounded domains of \(\mathbb R^2\). Zbl 1119.35045Farwig, R.; Galdi, G. P.; Sohr, H. 25 2006 An \(L^q\)-approach to Stokes and Navier-Stokes equations in general domains. Zbl 1111.35033Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 69 2005 Estimates of lower order derivatives of viscous fluid flow past a rotating obstacle. Zbl 1101.35348Farwig, Reinhard 23 2005 Very weak solutions of stationary and instationary Navier-Stokes equations with nonhomogeneous data. Zbl 1246.35148Farwig, Reinhard; Galdi, Giovanni P.; Sohr, Hermann 18 2005 \(L^q\)-theory of a singular ”winding” integral operator arising from fluid dynamics. Zbl 1057.35028Farwig, Reinhard; Hishida, Toshiaki; Müller, Detlef 44 2004 Weighted \(L^q\)-Helmholtz decompositions in infinite cylinders and in infinite layers. Zbl 1038.35068Farwig, Reinhard 9 2003 The fundamental solution of a modified Oseen problem. Zbl 0969.35005Farwig, R.; Novotný, A.; Pokorný, M. 2 2000 Weighted estimates for the Oseen equations and the Navier-Stokes equations in exterior domains. Zbl 0934.35120Farwig, Reinhard; Sohr, Hermann 23 1998 The stationary Navier-Stokes equations in a 3D-exterior domain. Zbl 0941.35064Farwig, Reinhard 18 1998 Weighted \(L^q\)-theory for the Stokes resolvent in exterior domains. Zbl 0918.35106Farwig, Reinhard; Sohr, Hermann 50 1997 Helmholtz decomposition and Stokes resolvent system for aperture domains in \(L^ q\)-spaces. Zbl 0847.35101Farwig, Reinhard; Sohr, Hermann 26 1996 Global estimates in weighted spaces of weak solutions of the Navier-Stokes equations in exterior domains. Zbl 0855.35099Farwig, R.; Sohr, H. 17 1996 Partial regularity and weighted energy estimates of global weak solutions of the Navier-Stokes system. Zbl 0865.35100Farwig, R. 6 1996 Note on the flux condition and pressure drop in the resolvent problem of the Stokes system. Zbl 0847.35102Farwig, Reinhard 4 1996 Weighted energy inequalities for the Navier-Stokes equations in exterior domains. Zbl 0833.35107Farwig, Reinhard; Sohr, Hermann 10 1995 Generalized resolvent estimates for the Stokes system in bounded and unbounded domains. Zbl 0819.35109Farwig, Reinhard; Sohr, Hermann 86 1994 A note on the reflection principle for the biharmonic equation and the Stokes system. Zbl 0815.31002Farwig, Reinhard 18 1994 On the Stokes and Navier-Stokes system for domains with noncompact boundary in \(L^ q\)-spaces. Zbl 0836.35117Farwig, Reinhard; Sohr, Hermann 11 1994 The stationary and non-stationary Stokes system in exterior domains with non-zero divergence and non-zero boundary values. Zbl 0798.35125Farwig, Reinhard; Sohr, Hermann 7 1994 An \(L^ q\)-theory for weak solutions of the Stokes system in exterior domains. Zbl 0787.35063Farwig, R.; Simader, C. G.; Sohr, H. 3 1993 The weak Neumann problem and the Helmholtz decomposition in general aperture domains. Zbl 0806.35021Farwig, R. 2 1993 ...and 11 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 537 Authors 54 Farwig, Reinhard 26 Nečasová, Šárka 21 Amrouche, Chérif 18 Galdi, Giovanni Paolo 18 Kozono, Hideo 17 Deuring, Paul 16 Hishida, Toshiaki 16 Sohr, Hermann 15 Jin, Bumja 13 Neustupa, Jiří 12 Kračmar, Stanislav 11 Dell’Accio, Francesco 11 Maremonti, Paolo 10 Di Tommaso, Filomena 10 Kyed, Mads 10 Shimizu, Senjo 9 Novotný, Antonín 9 Razafison, Ulrich 9 Taniuchi, Yasushi 8 Bae, Hyeong-Ohk 8 Chang, Tongkeun 8 Giga, Yoshikazu 8 Kim, Hyunseok 8 Matevosyan, Hovik A. 8 Otárola, Enrique 8 Schumacher, Katrin 8 Shibata, Yoshihiro 8 Silvestre, Ana Leonor 8 Varnhorn, Werner 7 Haroske, Dorothee D. 7 Hieber, Matthias 7 Meslameni, Mohamed 7 Salgado, Abner J. 7 Wittwer, Peter 6 Abe, Ken 6 Crispo, Francesca 6 Heck, Horst 6 Maekawa, Yasunori 6 Penel, Patrick 6 Ri, Myong-Hwan 5 Berselli, Luigi Carlo 5 Feireisl, Eduard 5 Geissert, Matthias 5 Han, Pigong 5 He, Cheng 5 Kim, Dugyu 5 Komo, Christian 5 Kunstmann, Peer Christian 5 Medková, Dagmar 5 Pileckas, Konstantin 5 Pokorný, Milan 5 Qian, Chenyin 5 Riechwald, Paul Felix 4 Abels, Helmut 4 Della Vecchia, Biancamaria 4 Guo, Zhengguang 4 Krbec, Miroslav 4 Kubo, Takayuki 4 Miura, Hideyuki 4 Nakatsuka, Tomoyuki 4 Nouisser, Otheman 4 Okabe, Takahiro 4 Sauer, Jonas 4 Scitovski, Rudolf 4 Skalák, Zdeněk 4 Takahashi, Takéo 3 Allendes, Alejandro 3 An, Rong 3 Barker, Tobias 3 Bolkart, Martin 3 Bouzit, Hamid 3 Choe, Hi Jun 3 Duman, Oktay 3 Hayat, Tasawar 3 Jin, Chunhua 3 Kakizawa, Ryôhei 3 Khai, D. Q. 3 Konieczny, Paweł 3 Kreml, Ondřej 3 Li, Kaitai 3 Mohan, Manil Thankamani 3 Mucha, Piotr Bogusław 3 Nguyễn Minh Trí 3 Nguyen Thieu Huy 3 Pečarić, Josip 3 Raudin, Yves 3 Rodríguez-Bellido, Maria Angeles 3 Shakhmurov, Veli B. 3 Skrzypczak, Leszek 3 Suzuki, Takuya 3 Tan, Zhong 3 Tartaglione, Alfonsina 3 Tolksdorf, Patrick 3 Trinh Viet Duoc 3 Wang, Yejuan 3 Wegmann, David 3 Weng, Shangkun 3 Wolf, Jörg 3 Zerroudi, Benaissa 3 Zhou, Yong ...and 437 more Authors all top 5 Cited in 151 Serials 53 Journal of Differential Equations 43 Journal of Mathematical Fluid Mechanics 25 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 24 Archive for Rational Mechanics and Analysis 24 Journal of Mathematical Analysis and Applications 22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 21 Journal of Evolution Equations 17 Mathematical Methods in the Applied Sciences 14 Mathematische Annalen 12 Journal of the Mathematical Society of Japan 11 Journal of Functional Analysis 11 Mathematische Nachrichten 10 Journal of Computational and Applied Mathematics 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 Manuscripta Mathematica 6 Communications in Mathematical Physics 6 Czechoslovak Mathematical Journal 6 Proceedings of the American Mathematical Society 6 Discrete and Continuous Dynamical Systems. Series B 5 Applicable Analysis 5 Journal of Mathematical Physics 5 Archiv der Mathematik 5 Mathematische Zeitschrift 5 Acta Applicandae Mathematicae 5 Applied Numerical Mathematics 5 Applied Mathematics Letters 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Nonlinear Analysis. Real World Applications 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 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 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 Calculus of Variations and Partial Differential Equations 3 Journal of Mathematical Sciences (New York) 3 Engineering Analysis with Boundary Elements 3 Communications on Pure and Applied Analysis 3 Boundary Value Problems 3 Complex Variables and Elliptic Equations 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 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Nonlinear Science 2 Potential Analysis 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Analysis (München) 2 Acta Mathematica Sinica. English Series 2 Lobachevskii Journal of Mathematics 2 Differential Equations 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Mediterranean Journal of Mathematics 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 1 Functiones et Approximatio. Commentarii Mathematici 1 Fuzzy Sets and Systems 1 Hiroshima Mathematical Journal 1 Integral Equations and Operator Theory 1 International Journal for Numerical Methods in Engineering 1 Journal of Multivariate Analysis 1 Meccanica 1 Memoirs of the American Mathematical Society 1 Numerical Functional Analysis and Optimization 1 Pacific Journal of Mathematics ...and 51 more Serials all top 5 Cited in 38 Fields 527 Partial differential equations (35-XX) 451 Fluid mechanics (76-XX) 56 Numerical analysis (65-XX) 38 Functional analysis (46-XX) 30 Approximations and expansions (41-XX) 30 Operator theory (47-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 17 Mechanics of deformable solids (74-XX) 13 Potential theory (31-XX) 12 Real functions (26-XX) 11 Biology and other natural sciences (92-XX) 9 Probability theory and stochastic processes (60-XX) 9 Geophysics (86-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Systems theory; control (93-XX) 5 Ordinary differential equations (34-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Functions of a complex variable (30-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Computer science (68-XX) 4 Mechanics of particles and systems (70-XX) 3 Abstract harmonic analysis (43-XX) 3 Integral equations (45-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistics (62-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-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