Edit Profile (opens in new tab) Varnhorn, Werner Co-Author Distance Author ID: varnhorn.werner Published as: Varnhorn, Werner; Varnhorn, W. External Links: MGP Documents Indexed: 69 Publications since 1984, including 2 Books 1 Contribution as Editor Co-Authors: 22 Co-Authors with 38 Joint Publications 355 Co-Co-Authors all top 5 Co-Authors 31 single-authored 9 Medková, Dagmar 8 Sohr, Hermann 6 Farwig, Reinhard 6 Müller, Frank 3 Deuring, Paul 2 Borchers, Wolfgang 2 Nečasová, Šárka 2 Ptashnyk, Mariya 2 Samrowski, Tatiana S. 2 Simader, Christian Georg 2 Skopin, Emma 2 Zanger, Florian 1 Asanalieva, Nazgul 1 Feireisl, Eduard 1 Hebeker, Friedrich-Karl 1 Heutling, Carolin 1 König, Sergej 1 Kračmar, Stanislav 1 Meister, Oliver 1 Rautmann, Raimund 1 Rautmann, Reimund 1 Specovius-Neugebauer, Maria Ursula all top 5 Serials 7 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 6 Mathematical Methods in the Applied Sciences 5 International Journal of Pure and Applied Mathematics 4 Applicable Analysis 4 PAMM. Proceedings in Applied Mathematics and Mechanics 3 Mathematische Nachrichten 3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 Journal of Mathematical Fluid Mechanics 2 Applied Mathematical Sciences (Ruse) 1 International Journal for Numerical Methods in Fluids 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Analysis 1 Acta Applicandae Mathematicae 1 Differential and Integral Equations 1 Journal of Partial Differential Equations 1 Advances in Mathematical Sciences and Applications 1 Topological Methods in Nonlinear Analysis 1 Discrete and Continuous Dynamical Systems 1 Far East Journal of Applied Mathematics 1 Analysis (München) 1 Discrete and Continuous Dynamical Systems. Series S 1 Nonlinear Analysis. Theory, Methods & Applications 1 Constructive Mathematical Analysis 1 Mathematical Research all top 5 Fields 57 Partial differential equations (35-XX) 54 Fluid mechanics (76-XX) 22 Numerical analysis (65-XX) 11 Potential theory (31-XX) 5 Integral equations (45-XX) 4 Approximations and expansions (41-XX) 3 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 40 Publications have been cited 278 times in 210 Documents Cited by ▼ Year ▼ The Stokes equations. Zbl 0813.35085 Varnhorn, Werner 56 1994 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 boundedness of the Stokes semigroup in two-dimensional exterior domains. Zbl 0794.35070 Borchers, Wolfgang; Varnhorn, Werner 29 1993 The boundary value problems for the Stokes resolvent equations in \(\mathbb{R}^ 2\). Zbl 0838.35099 Varnhorn, W. 15 1995 An explicit potential theory for the Stokes resolvent boundary value problems in three dimensions. Zbl 0734.35077 Varnhorn, Werner 14 1991 On approximation and numerical solution of Fredholm integral equations of second kind using quasi-interpolation. Zbl 1215.65202 Müller, Frank; Varnhorn, Werner 12 2011 Extensions of Serrin’s uniqueness and regularity conditions for the Navier-Stokes equations. Zbl 1254.76053 Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner 11 2012 The boundary value problems of the Stokes resolvent equations in \(n\) dimensions. Zbl 1129.35064 Varnhorn, Werner 10 2004 Error estimates for approximate approximations with Gaussian kernels on compact intervals. Zbl 1152.41011 Müller, Frank; Varnhorn, Werner 9 2007 On Oseen resolvent estimates. Zbl 1240.35381 Deuring, Paul; Varnhorn, Werner 8 2010 Boundary value problems for the Stokes equations with jumps in open sets. Zbl 1149.76017 Medkova, Dagmar; Varnhorn, Werner 8 2008 Zur Numerik der Gleichungen von Navier-Stokes. Zbl 0597.76023 Varnhorn, Werner 6 1985 The Poisson equation with weights in exterior domains of \(R^ n\). Zbl 0719.35020 Varnhorn, Werner 6 1992 Boundary value problems and integral equations for the Stokes resolvent in bounded and exterior domains of \(\mathbb{R}^n\). Zbl 0933.35154 Varnhorn, Werner 5 1998 Time stepping procedures for the non-stationary Stokes equations. Zbl 0762.35088 Varnhorn, Werner 5 1992 Necessary and sufficient conditions on local strong solvability of the Navier-Stokes system. Zbl 1209.35096 Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner 5 2011 The boundary value problems for the scalar Oseen equation. Zbl 1257.31006 Medkova, Dagmar; Skopin, Emma; Varnhorn, Werner 4 2012 Necessary and sufficient conditions for the existence of Helmholtz decompositions in general domains. Zbl 1304.35506 Simader, Christian G.; Sohr, Hermann; Varnhorn, Werner 4 2014 Besov space regularity conditions for weak solutions of the Navier-Stokes equations. Zbl 1291.35177 Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner 4 2014 On decay properties of the Stokes equations in exterior domains. Zbl 0719.35069 Sohr, Hermann; Varnhorn, Werner 4 1990 Efficient quadrature for a boundary element method to compute three- dimensional Stokes flow. Zbl 0658.76034 Varnhorn, Werner 3 1989 A maximum modulus theorem for the Oseen problem. Zbl 1284.35342 Kračmar, S.; Medková, D.; Nečasová, Š.; Varnhorn, W. 3 2013 The Poisson equation in homogeneous Sobolev spaces. Zbl 1155.35318 Samrowski, Tatiana; Varnhorn, Werner 2 2004 The Navier-Stokes equations with time delay. Zbl 1152.76361 Varnhorn, Werner 2 2008 On strong solutions of the Stokes equations in exterior domains. Zbl 0815.35090 Varnhorn, Werner 2 1994 Über die Hölderstetigkeit der direkten Werte der Tangentialableitungen Stokesscher Einfachschichtpotentiale. (About the Hölder continuity of the direct values of the tangential derivative of Stokeslike monolayer potentials). Zbl 0584.76038 Hebeker, F.-K.; Specovius, M.; Varnhorn, W. 2 1984 Energy conserving Lagrangian approximation for the equations of Navier- Stokes. Zbl 0675.35068 Varnhorn, Werner 2 1988 The planar Dirichlet problem for the Stokes equations. Zbl 1321.76019 Medková, Dagmar; Varnhorn, Werner 2 2011 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 An approximation method using approximate approximations. Zbl 1207.35107 Müller, Frank; Varnhorn, Werner 1 2006 Ein neues Verfahren zur numerischen Berechnung dreidimensionaler Navier- Stokes-Strömungen. (A new method for the numerical calculation of three-dimensional Navier-Stokes flows). Zbl 0629.76031 Varnhorn, W. 1 1987 The Robin problem for the scalar Oseen equation. Zbl 1277.31011 Medková, Dagmar; Skopin, Emma; Varnhorn, Werner 1 2013 Schauder estimates for the single layer potential in hydrodynamics. Zbl 0778.76024 Deuring, Paul; Varnhorn, Werner 1 1992 Die Navier-Stokessche Anfangsrandwertaufgabe mit einer Differenzennäherung. (Difference approximation of the Navier-Stokes- initial-boundary value problem). Zbl 0624.76030 Rautmann, R.; Varnhorn, W. 1 1985 A fractional step method for regularized Navier-Stokes equations. Zbl 0776.76060 Varnhorn, Werner 1 1992 Time delay and finite differences for the non-stationary nonlinear Navier-Stokes equations. Zbl 0748.35030 Varnhorn, Werner 1 1992 Integral representation of a solution to the Stokes-Darcy problem. Zbl 1335.35184 Medková, Dagmar; Ptashnyk, Mariya; Varnhorn, Werner 1 2015 On approximation and computation of Navier-Stokes flow. Zbl 1299.35230 Varnhorn, Werner; Zanger, Florian 1 2013 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 On the Poisson equation in exterior domains. Zbl 1513.31007 Varnhorn, Werner 1 2022 On the Poisson equation in exterior domains. Zbl 1513.31007 Varnhorn, Werner 1 2022 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 Integral representation of a solution to the Stokes-Darcy problem. Zbl 1335.35184 Medková, Dagmar; Ptashnyk, Mariya; Varnhorn, Werner 1 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 Necessary and sufficient conditions for the existence of Helmholtz decompositions in general domains. Zbl 1304.35506 Simader, Christian G.; Sohr, Hermann; Varnhorn, Werner 4 2014 Besov space regularity conditions for weak solutions of the Navier-Stokes equations. Zbl 1291.35177 Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner 4 2014 A maximum modulus theorem for the Oseen problem. Zbl 1284.35342 Kračmar, S.; Medková, D.; Nečasová, Š.; Varnhorn, W. 3 2013 The Robin problem for the scalar Oseen equation. Zbl 1277.31011 Medková, Dagmar; Skopin, Emma; Varnhorn, Werner 1 2013 On approximation and computation of Navier-Stokes flow. Zbl 1299.35230 Varnhorn, Werner; Zanger, Florian 1 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 The boundary value problems for the scalar Oseen equation. Zbl 1257.31006 Medkova, Dagmar; Skopin, Emma; Varnhorn, Werner 4 2012 On approximation and numerical solution of Fredholm integral equations of second kind using quasi-interpolation. Zbl 1215.65202 Müller, Frank; Varnhorn, Werner 12 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 The planar Dirichlet problem for the Stokes equations. Zbl 1321.76019 Medková, Dagmar; Varnhorn, Werner 2 2011 On Oseen resolvent estimates. Zbl 1240.35381 Deuring, Paul; Varnhorn, Werner 8 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 Boundary value problems for the Stokes equations with jumps in open sets. Zbl 1149.76017 Medkova, Dagmar; Varnhorn, Werner 8 2008 The Navier-Stokes equations with time delay. Zbl 1152.76361 Varnhorn, Werner 2 2008 Error estimates for approximate approximations with Gaussian kernels on compact intervals. Zbl 1152.41011 Müller, Frank; Varnhorn, Werner 9 2007 An approximation method using approximate approximations. Zbl 1207.35107 Müller, Frank; Varnhorn, Werner 1 2006 The boundary value problems of the Stokes resolvent equations in \(n\) dimensions. Zbl 1129.35064 Varnhorn, Werner 10 2004 The Poisson equation in homogeneous Sobolev spaces. Zbl 1155.35318 Samrowski, Tatiana; Varnhorn, Werner 2 2004 Boundary value problems and integral equations for the Stokes resolvent in bounded and exterior domains of \(\mathbb{R}^n\). Zbl 0933.35154 Varnhorn, Werner 5 1998 The boundary value problems for the Stokes resolvent equations in \(\mathbb{R}^ 2\). Zbl 0838.35099 Varnhorn, W. 15 1995 The Stokes equations. Zbl 0813.35085 Varnhorn, Werner 56 1994 On strong solutions of the Stokes equations in exterior domains. Zbl 0815.35090 Varnhorn, Werner 2 1994 On the boundedness of the Stokes semigroup in two-dimensional exterior domains. Zbl 0794.35070 Borchers, Wolfgang; Varnhorn, Werner 29 1993 The Poisson equation with weights in exterior domains of \(R^ n\). Zbl 0719.35020 Varnhorn, Werner 6 1992 Time stepping procedures for the non-stationary Stokes equations. Zbl 0762.35088 Varnhorn, Werner 5 1992 Schauder estimates for the single layer potential in hydrodynamics. Zbl 0778.76024 Deuring, Paul; Varnhorn, Werner 1 1992 A fractional step method for regularized Navier-Stokes equations. Zbl 0776.76060 Varnhorn, Werner 1 1992 Time delay and finite differences for the non-stationary nonlinear Navier-Stokes equations. Zbl 0748.35030 Varnhorn, Werner 1 1992 An explicit potential theory for the Stokes resolvent boundary value problems in three dimensions. Zbl 0734.35077 Varnhorn, Werner 14 1991 On decay properties of the Stokes equations in exterior domains. Zbl 0719.35069 Sohr, Hermann; Varnhorn, Werner 4 1990 Efficient quadrature for a boundary element method to compute three- dimensional Stokes flow. Zbl 0658.76034 Varnhorn, Werner 3 1989 Energy conserving Lagrangian approximation for the equations of Navier- Stokes. Zbl 0675.35068 Varnhorn, Werner 2 1988 Ein neues Verfahren zur numerischen Berechnung dreidimensionaler Navier- Stokes-Strömungen. (A new method for the numerical calculation of three-dimensional Navier-Stokes flows). Zbl 0629.76031 Varnhorn, W. 1 1987 Zur Numerik der Gleichungen von Navier-Stokes. Zbl 0597.76023 Varnhorn, Werner 6 1985 Die Navier-Stokessche Anfangsrandwertaufgabe mit einer Differenzennäherung. (Difference approximation of the Navier-Stokes- initial-boundary value problem). Zbl 0624.76030 Rautmann, R.; Varnhorn, W. 1 1985 Über die Hölderstetigkeit der direkten Werte der Tangentialableitungen Stokesscher Einfachschichtpotentiale. (About the Hölder continuity of the direct values of the tangential derivative of Stokeslike monolayer potentials). Zbl 0584.76038 Hebeker, F.-K.; Specovius, M.; Varnhorn, W. 2 1984 all cited Publications top 5 cited Publications all top 5 Cited by 197 Authors 24 Kohr, Mirela 21 Varnhorn, Werner 18 Medková, Dagmar 18 Wendland, Wolfgang L. 15 Farwig, Reinhard 10 Kozono, Hideo 7 Deuring, Paul 7 Shimizu, Senjo 7 Sohr, Hermann 5 Lanza de Cristoforis, Massimo 5 Sekhar, G. P. Raja 4 Amrouche, Chérif 4 Cao, Feilong 4 Daveau, Christian 4 Komo, Christian 4 Krutitskii, Pavel A. 4 Mikhailov, Sergey E. 4 Zhou, Yong 3 Abe, Ken 3 Auchmuty, Giles 3 Chen, Zhixiang 3 Han, Qi 3 Hishida, Toshiaki 3 Meslameni, Mohamed 3 Peng, Li 3 You, Xiaoguang 3 Zang, Aibin 2 Abels, Helmut 2 Albişoru, Andrei-Florin 2 Alliot, Frédéric 2 Ayed, Sabria Ben 2 Balloumi, Imen 2 Bessaih, Hakima 2 Borchers, Wolfgang 2 Chang, Tongkeun 2 Chapko, Roman 2 Fericean, Denisa 2 Garrido-Atienza, María José 2 Giga, Yoshikazu 2 Girault, Vivette 2 Groşan, Teodor S. 2 Gutt, Robert 2 Han, Pigong 2 Hou, Mimi 2 Jalilian, Hamed 2 Jin, Bumja 2 Khai, D. Q. 2 Khelifi, Abdessatar 2 Kračmar, Stanislav 2 Kučera, Petr 2 Kyed, Mads 2 Maekawa, Yasunori 2 Maleknejad, Khosrow 2 Maremonti, Paolo 2 Martins, Nuno F. M. 2 Mitrea, Marius 2 Müller, Frank 2 Nečasová, Šárka 2 Neustupa, Jiří 2 Nguyễn Minh Trí 2 Okada, Akira 2 Ptashnyk, Mariya 2 Rashidinia, Jalil 2 Rautmann, Reimund 2 Riechwald, Paul Felix 2 Samrowski, Tatiana S. 2 Solonnikov, Vsevolod Alekseevich 2 Triggiani, Roberto 2 Wiegner, Michael 2 Xi, Xuanxuan 2 Yu, Dansheng 2 Zhang, Ping 2 Zhang, Zhifei 2 Zhong, Xian-Ci 1 Alves, Carlos J. S. 1 Amirfakhrian, Majid 1 Amiri, Sadegh 1 Anselmann, Mathias 1 Băleanu, Dumitru I. 1 Bause, Markus 1 Bermejo, Rodolfo 1 Bogovskij, M. E. 1 Borachok, Ihor 1 Chakrabarti, Aloknath 1 Choi, Jongkeun 1 Debbi, Latifa 1 Debbouche, Amar 1 Dong, Boqing 1 Dong, Hongjie 1 Duong, V. T. T. 1 Enomoto, Yuko 1 Esser, Patrick 1 Fardi, Mojtaba 1 Fresneda-Portillo, Carlos 1 Galdi, Giovanni Paolo 1 Galligani, Emanuele 1 Gangl, Peter 1 Ghasemi, Mehdi 1 Giroire, Jean 1 Girouard, Alexandre ...and 97 more Authors all top 5 Cited in 80 Serials 20 Mathematical Methods in the Applied Sciences 12 Journal of Mathematical Fluid Mechanics 8 Journal of Differential Equations 8 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Applied Mathematics and Computation 7 Mathematische Nachrichten 6 Journal of Mathematical Analysis and Applications 6 Journal of Functional Analysis 6 Journal of Evolution Equations 4 Applicable Analysis 4 Computers & Mathematics with Applications 4 Mathematische Annalen 4 Acta Applicandae Mathematicae 4 Complex Variables and Elliptic Equations 3 Journal of Computational and Applied Mathematics 3 Quarterly of Applied Mathematics 3 Numerical Algorithms 3 Journal of Mathematical Sciences (New York) 3 Engineering Analysis with Boundary Elements 3 Communications on Pure and Applied Analysis 3 Nonlinear Analysis. Theory, Methods & Applications 2 Nonlinearity 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Applied Mathematics and Optimization 2 Manuscripta Mathematica 2 Mathematische Zeitschrift 2 Numerische Mathematik 2 Zeitschrift für Analysis und ihre Anwendungen 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Applied Mathematical Modelling 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Mathematical Analysis 2 Doklady Mathematics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Journal of the Institute of Mathematics of Jussieu 2 Constructive Mathematical Analysis 1 Analysis Mathematica 1 Archive for Rational Mechanics and Analysis 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Engineering Mathematics 1 Lithuanian Mathematical Journal 1 Acta Mathematica 1 Calcolo 1 Functional Analysis and its Applications 1 Journal of the Mathematical Society of Japan 1 Mathematics and Computers in Simulation 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Pacific Journal of Mathematics 1 Results in Mathematics 1 Chinese Annals of Mathematics. Series B 1 Physica D 1 Applied Numerical Mathematics 1 Journal of Integral Equations and Applications 1 Geometric and Functional Analysis. GAFA 1 Computational Mathematics and Mathematical Physics 1 International Journal of Computer Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Potential Analysis 1 Calculus of Variations and Partial Differential Equations 1 Computational and Applied Mathematics 1 Advances in Applied Clifford Algebras 1 Bulletin des Sciences Mathématiques 1 Advances in Computational Mathematics 1 Mathematical Physics, Analysis and Geometry 1 Taiwanese Journal of Mathematics 1 European Journal of Mechanics. B. Fluids 1 Analysis (München) 1 Qualitative Theory of Dynamical Systems 1 Differential Equations 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Analysis and Applications (Singapore) 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Discrete and Continuous Dynamical Systems. Series S 1 Asian-European Journal of Mathematics 1 S\(\vec{\text{e}}\)MA Journal 1 Computational Methods for Differential Equations 1 Journal of Elliptic and Parabolic Equations all top 5 Cited in 23 Fields 174 Partial differential equations (35-XX) 143 Fluid mechanics (76-XX) 40 Numerical analysis (65-XX) 18 Integral equations (45-XX) 16 Functional analysis (46-XX) 13 Operator theory (47-XX) 9 Potential theory (31-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Approximations and expansions (41-XX) 3 Special functions (33-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Functions of a complex variable (30-XX) 2 Mechanics of deformable solids (74-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Citations by Year