Edit Profile (opens in new tab) Vogel, Thomas Irvin Co-Author Distance Author ID: vogel.thomas-i Published as: Vogel, Thomas I.; Vogel, T. I. Homepage: http://www.math.tamu.edu/~tom.vogel/ External Links: MGP Documents Indexed: 32 Publications since 1973 Co-Authors: 2 Co-Authors with 6 Joint Publications 218 Co-Co-Authors Co-Authors 25 single-authored 4 Finn, Robert Samuel 2 Friedman, Avner 1 del Pino, Álvaro all top 5 Serials 9 Pacific Journal of Mathematics 4 Journal of Mathematical Fluid Mechanics 3 Analysis (München) 2 Indiana University Mathematics Journal 2 SIAM Journal on Applied Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Lithuanian Mathematical Journal 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 International Journal of Mathematics and Mathematical Sciences 1 Zeitschrift für Analysis und ihre Anwendungen 1 SIAM Journal on Mathematical Analysis 1 Discrete and Continuous Dynamical Systems 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 Geometry & Topology all top 5 Fields 20 Differential geometry (53-XX) 18 Fluid mechanics (76-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 6 Partial differential equations (35-XX) 5 Global analysis, analysis on manifolds (58-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 23 Publications have been cited 166 times in 99 Documents Cited by ▼ Year ▼ Stability of a liquid drop trapped between two parallel planes. Zbl 0627.53004 Vogel, Thomas I. 35 1987 Sufficient conditions for capillary surfaces to be energy minima. Zbl 1021.58014 Vogel, Thomas I. 17 2000 Stability of a liquid drop trapped between two parallel planes. II: General contact angles. Zbl 0691.53007 Vogel, Thomas I. 15 1989 Symmetric unbounded liquid bridges. Zbl 0504.76025 Vogel, Thomas I. 14 1982 Cavitational flow in a channel with oscillatory wall. Zbl 0523.76007 Friedman, Avner; Vogel, Thomas I. 13 1983 Uniqueness for certain surfaces of prescribed mean curvature. Zbl 0621.58008 Vogel, Thomas I. 9 1988 Convex, rotationally symmetric liquid bridges between spheres. Zbl 1118.53006 Vogel, Thomas I. 8 2006 Stability and bifurcation of a surface of constant mean curvature in a wedge. Zbl 0758.53033 Vogel, Thomas I. 8 1992 Liquid bridges between balls: the small volume instability. Zbl 1267.76016 Vogel, Thomas I. 8 2013 On the volume infimum for liquid bridges. Zbl 0760.76015 Finn, R.; Vogel, T. I. 6 1992 Local energy minimality of capillary surfaces in the presence of symmetry. Zbl 1050.58011 Vogel, Thomas I. 5 2002 The Engel-Lutz twist and overtwisted Engel structures. Zbl 1461.58002 del Pino, Álvaro; Vogel, Thomas 5 2020 Floating criteria in three dimensions. Zbl 1423.76073 Finn, Robert; Vogel, Thomas I. 4 2009 On constrained extrema. Zbl 0866.49009 Vogel, Thomas I. 4 1996 Comments on radially symmetric liquid bridges with inflected profiles. Zbl 1158.53307 Vogel, Thomas I. 4 2005 Sufficient conditions for multiply constrained extrema. Zbl 0885.49003 Vogel, Thomas I. 3 1997 Unbounded parametric surfaces of prescribed mean curvature. Zbl 0457.53031 Vogel, Thomas I. 3 1982 Asymmetric unbounded liquid bridges. Zbl 0501.49021 Vogel, Thomas I. 2 1982 Nonlinear stability of a certain capillary surface. Zbl 0959.53008 Vogel, Thomas I. 2 1999 Floating criteria in three dimensions. Zbl 1186.76629 Finn, Robert; Vogel, Thomas I. 2 2009 Liquid bridges between contacting balls. Zbl 1308.76047 Vogel, Thomas I. 2 2014 A free-boundary problem arising from a galvanizing process. Zbl 0581.76042 Vogel, Thomas I. 1 1985 Uniqueness of capillary surfaces in wedges and cones. Zbl 0798.76009 Vogel, Thomas I. 1 1993 The Engel-Lutz twist and overtwisted Engel structures. Zbl 1461.58002 del Pino, Álvaro; Vogel, Thomas 5 2020 Liquid bridges between contacting balls. Zbl 1308.76047 Vogel, Thomas I. 2 2014 Liquid bridges between balls: the small volume instability. Zbl 1267.76016 Vogel, Thomas I. 8 2013 Floating criteria in three dimensions. Zbl 1423.76073 Finn, Robert; Vogel, Thomas I. 4 2009 Floating criteria in three dimensions. Zbl 1186.76629 Finn, Robert; Vogel, Thomas I. 2 2009 Convex, rotationally symmetric liquid bridges between spheres. Zbl 1118.53006 Vogel, Thomas I. 8 2006 Comments on radially symmetric liquid bridges with inflected profiles. Zbl 1158.53307 Vogel, Thomas I. 4 2005 Local energy minimality of capillary surfaces in the presence of symmetry. Zbl 1050.58011 Vogel, Thomas I. 5 2002 Sufficient conditions for capillary surfaces to be energy minima. Zbl 1021.58014 Vogel, Thomas I. 17 2000 Nonlinear stability of a certain capillary surface. Zbl 0959.53008 Vogel, Thomas I. 2 1999 Sufficient conditions for multiply constrained extrema. Zbl 0885.49003 Vogel, Thomas I. 3 1997 On constrained extrema. Zbl 0866.49009 Vogel, Thomas I. 4 1996 Uniqueness of capillary surfaces in wedges and cones. Zbl 0798.76009 Vogel, Thomas I. 1 1993 Stability and bifurcation of a surface of constant mean curvature in a wedge. Zbl 0758.53033 Vogel, Thomas I. 8 1992 On the volume infimum for liquid bridges. Zbl 0760.76015 Finn, R.; Vogel, T. I. 6 1992 Stability of a liquid drop trapped between two parallel planes. II: General contact angles. Zbl 0691.53007 Vogel, Thomas I. 15 1989 Uniqueness for certain surfaces of prescribed mean curvature. Zbl 0621.58008 Vogel, Thomas I. 9 1988 Stability of a liquid drop trapped between two parallel planes. Zbl 0627.53004 Vogel, Thomas I. 35 1987 A free-boundary problem arising from a galvanizing process. Zbl 0581.76042 Vogel, Thomas I. 1 1985 Cavitational flow in a channel with oscillatory wall. Zbl 0523.76007 Friedman, Avner; Vogel, Thomas I. 13 1983 Symmetric unbounded liquid bridges. Zbl 0504.76025 Vogel, Thomas I. 14 1982 Unbounded parametric surfaces of prescribed mean curvature. Zbl 0457.53031 Vogel, Thomas I. 3 1982 Asymmetric unbounded liquid bridges. Zbl 0501.49021 Vogel, Thomas I. 2 1982 all cited Publications top 5 cited Publications all top 5 Cited by 110 Authors 9 Finn, Robert Samuel 9 Vogel, Thomas Irvin 6 Abels, Helmut 6 Cheng, Jianfeng 6 Koiso, Miyuki 5 López Camino, Rafael 5 Treinen, Ray 4 Du, Lili 3 Brubaker, Nicholas D. 3 Garcke, Harald 3 Moser, Maximilian 3 Palmer, Bennett 2 Abd-Ellah, Hambdy N. 2 Abdel-All, Nassar Hassan 2 Acker, Andrew F. 2 Capodanno, Pierre 2 Concus, Paul 2 Friedman, Avner 2 Li, Haizhong 2 Miyamoto, Umpei 2 Müller, Lars 2 Pyo, Juncheol 2 Rauchecker, Maximilian 2 Souam, Rabah 2 Tran Hung 2 Wang, Guofang 2 Wheeler, Valentina-Mira 2 Xia, Chao 2 Xiang, Wei 2 Xiong, Changwei 2 Zhou, Detang 1 Akbari, Amir 1 Alarcón, Antonio 1 Alexander, J. Iwan D. 1 Alt, Hans Wilhelm 1 Arroyo, Josu J. 1 Athanassenas, Maria 1 Athukorallage, Bhagya 1 Bagley, Zachary 1 Bauer, Helmut F. 1 Benilov, Eugene S. 1 Bertozzi, Andrea Louise 1 Biria, Aisa 1 Bostwick, Joshua B. 1 Butz, Julia 1 Cabré, Xavier 1 Caffarelli, Luis Ángel 1 Collicott, Steven H. 1 Csató, Gyula 1 Cummins, Cathal P. 1 da Silva, Márcio Fabiano 1 de Rutte, Joseph 1 Depner, Daniel 1 Dharmasena, Dayal 1 Di Carlo, Dino 1 Domokos, Gábor 1 Eidel, Werner 1 Elcrat, Alan R. 1 Fedoseyev, Alexandre I. 1 Fel, Leonid G. 1 Fried, Eliot 1 Friedrich, Manuel 1 Gagneux, Gérard 1 Garay, Oscar Jesus 1 Guo, Jinyu 1 Gutkin, Eugene 1 Hill, Reghan J. 1 Huang, Jinli 1 Hutchings, Michael Lounsbery 1 Iyer, Ram Venkataraman 1 Kagaya, Takashi 1 Kohsaka, Yoshihito 1 Korevaar, Nicholas Jacob 1 Kružík, Martin 1 Lancaster, Kirk Eugene 1 Lega, J. 1 Leonardi, Gian Paolo 1 Lubarda, Vlado A. 1 Mas, Albert 1 McCuan, John 1 Millet, Olivier 1 Negron, K. Oskar 1 Nguyen, Hien Nho Gia 1 Pámpano, Álvaro 1 Paragoda, Thanuja 1 Pei, Zhenlei 1 Perera, Binuri 1 Ribeiro Merkle, Monica Moulin 1 Ritoré, Manuel 1 Rosso, Riccardo 1 Rubinstein, Boris Y. 1 Shimojō, Masahiko 1 Slobozhanin, Lev A. 1 Steen, Paul Herman 1 Stefanelli, Ulisse 1 Stojanović, Srđan Đ. 1 Szeberényi, Imre 1 Treinen, Raymond 1 van de Ven, Theo G. M. 1 Vernadakis, Efstratios ...and 10 more Authors all top 5 Cited in 55 Serials 7 Journal of Mathematical Fluid Mechanics 5 Mathematische Nachrichten 5 Calculus of Variations and Partial Differential Equations 4 The Journal of Geometric Analysis 4 SIAM Journal on Applied Mathematics 4 Physics of Fluids 3 Journal of Fluid Mechanics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Journal of Differential Equations 3 Analysis (München) 2 Archive for Rational Mechanics and Analysis 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Advances in Mathematics 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Asymptotic Analysis 2 Communications in Partial Differential Equations 2 SIAM Journal on Mathematical Analysis 2 Experimental Mathematics 1 Acta Mechanica 1 International Journal of Engineering Science 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Lithuanian Mathematical Journal 1 Nonlinearity 1 Chaos, Solitons and Fractals 1 Journal of Geometry and Physics 1 Prikladnaya Matematika i Mekhanika 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Geometriae Dedicata 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Tôhoku Mathematical Journal. Second Series 1 Japan Journal of Industrial and Applied Mathematics 1 Differential Geometry and its Applications 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Scientific Computing 1 Electronic Journal of Differential Equations (EJDE) 1 Filomat 1 Mathematics and Mechanics of Solids 1 Interfaces and Free Boundaries 1 Missouri Journal of Mathematical Sciences 1 Journal of Geometry and Symmetry in Physics 1 Complex Analysis and Operator Theory 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 Science China. Mathematics 1 JSIAM Letters 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Cited in 13 Fields 62 Fluid mechanics (76-XX) 50 Differential geometry (53-XX) 32 Calculus of variations and optimal control; optimization (49-XX) 31 Partial differential equations (35-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Mechanics of deformable solids (74-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Real functions (26-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year