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## Siegel, Michael

Compute Distance To:
 Author ID: siegel.michael Published as: Siegel, M.; Siegel, Michael External Links: MGP · Wikidata
 Documents Indexed: 41 Publications since 1990, including 1 Book
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#### Co-Authors

 4 single-authored 8 Booty, Michael R. 5 Caflisch, Russel E. 4 Ambrose, David M. 3 Baker, Gregory L. 3 Papageorgiou, Demetrios T. 3 Pnueli, Amir 3 Tanveer, Saleh 2 Hansen, Mark H. 2 Madnick, Stuart E. 2 Rodeh, Yoav 2 Shtrichman, Ofer 2 Tornberg, Anna-Karin 2 Wang, Qiming 2 Young, Yuan-Nan 1 Crowdy, Darren Gregory 1 Dai, Wei-Shen 1 Hameed, Mohammed A. Shahul 1 Higley, Michael 1 Howell, Peter D. 1 Howison, Sam D. 1 Kas-Danouche, S. A. 1 Lakhnech, Yassine 1 Li, Jialong 1 Li, Jie 1 Liu, Yang 1 Malakuti, Kamyar 1 Orellana, Oscar F. 1 Pålsson, Sara 1 Strichman, Ofer 1 Tlupova, Svetlana 1 Virodov, Alex 1 Xu, Kuan 1 Yariv, Ehud
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#### Serials

 8 Journal of Fluid Mechanics 5 Journal of Computational Physics 5 SIAM Journal on Applied Mathematics 2 IMA Journal of Applied Mathematics 2 Physics of Fluids 1 Communications on Pure and Applied Mathematics 1 Mathematics of Computation 1 Mathematics and Computers in Simulation 1 Information and Computation 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Methods and Applications of Analysis 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1
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#### Fields

 28 Fluid mechanics (76-XX) 10 Partial differential equations (35-XX) 7 Computer science (68-XX) 6 Numerical analysis (65-XX) 3 Mathematical logic and foundations (03-XX) 2 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Mechanics of deformable solids (74-XX)

#### Citations contained in zbMATH

33 Publications have been cited 328 times in 276 Documents Cited by Year
Global existence, singular solutions, and ill-posedness for the Muskat problem. Zbl 1062.35089
Siegel, Michael; Caflisch, Russel E.; Howison, Sam
2004
Singularity formation during Rayleigh-Taylor instability. Zbl 0791.76027
Baker, Gregory; Caflisch, Russel E.; Siegel, Michael
1993
Two-dimensional spreading of a granular avalanche down an inclined plane. I: Theory. Zbl 0821.73002
Hutter, K.; Siegel, M.; Savage, S. B.; Nohguchi, Y.
1993
A hybrid numerical method for interfacial fluid flow with soluble surfactant. Zbl 1423.76331
Booty, M. R.; Siegel, M.
2010
Influence of insoluble surfactant on the deformation and breakup of a bubble or thread in a viscous fluid. Zbl 1159.76315
Hameed, M.; Siegel, M.; Young, Y.-N.; Li, Jie; Booty, M. R.; Papageorgiou, D. T.
2008
Steady deformation and tip-streaming of a slender bubble with surfactant in an extensional flow. Zbl 1083.76059
Booty, M. R.; Siegel, M.
2005
Evolution of material voids for highly anisotropic surface energy. Zbl 1079.74513
Siegel, M.; Miksis, M. J.; Voorhees, P. W.
2004
Singular effects of surface tension in evolving Hele-Shaw flows. Zbl 0885.76022
Siegel, Michael; Tanveer, Saleh; Dai, Wei-Shen
1996
Deciding equality formulas by small domains instantiations. Zbl 1046.68605
Pnueli, Amir; Rodeh, Yoav; Shtrichman, Ofer; Siegel, Michael
1999
Influence of surfactant on rounded and pointed bubbles in two-dimensional Stokes flow. Zbl 0940.76015
Siegel, Michael
1999
Cusp formation for time-evolving bubbles in two-dimensional Stokes flow. Zbl 0967.76028
Siegel, Michael
2000
Well-posedness of two-dimensional hydroelastic waves. Zbl 1373.76015
Ambrose, David M.; Siegel, Michael
2017
A study of singularity formation in the Kelvin-Helmholtz instability with surface tension. Zbl 0839.76012
Siegel, Michael
1995
Influence of surfactant solubility on the deformation and breakup of a bubble or capillary jet in a viscous fluid. Zbl 1183.76595
Young, Y.-N.; Booty, M. R.; Siegel, M.; Li, J.
2009
The code validation tool (CVT). Automatic verification of a compilation process. Zbl 1022.68733
Pnueli, A.; Shtrichman, O.; Siegel, M.
1998
A small-scale decomposition for 3D boundary integral computations with surface tension. Zbl 1349.76413
Ambrose, David M.; Siegel, Michael; Tlupova, Svetlana
2013
Calculation of complex singular solutions to the 3D incompressible Euler equations. Zbl 1180.37124
Siegel, M.; Caflisch, R. E.
2009
A localized approximation method for vortical flows. Zbl 0712.76026
Caflisch, R. E.; Orellana, O. F.; Siegel, M.
1990
A local target specific quadrature by expansion method for evaluation of layer potentials in 3D. Zbl 1398.65356
Siegel, Michael; Tornberg, Anna-Karin
2018
Analytical and computational methods for two-phase flow with soluble surfactant. Zbl 1329.76357
Xu, Kuan; Booty, M. R.; Siegel, M.
2013
Nonlinear dynamics of core-annular film flows in the presence of surfactant. Zbl 1171.76374
Kas-Danouche, S. A.; Papageorgiou, D. T.; Siegel, M.
2009
The small model property: How small can it be? Zbl 1012.03040
Pnueli, Amir; Rodeh, Yoav; Strichman, Ofer; Siegel, Michael
2002
A non-stiff boundary integral method for 3D porous media flow with surface tension. Zbl 1320.76087
Ambrose, David M.; Siegel, Michael
2012
A mathematical model for core-annular flows with surfactants. Zbl 1100.35087
Kas-Danouche, S.; Papageorgiou, D.; Siegel, M.
2004
A semi-analytic approach to Euler singularities. Zbl 1100.76009
Caflisch, Russel E.; Siegel, Michael
2004
The evolution of a slender non-axisymmetric drop in an extensional flow. Zbl 1065.76050
Howell, P. D.; Siegel, M.
2004
A well-posed numerical method to track isolated conformal map singularities in the Hele-Shaw flow. Zbl 0841.76061
Baker, Gregory; Siegel, Michael; Tanveer, Saleh
1995
Numerical simulation of drop and bubble dynamics with soluble surfactant. Zbl 1321.76067
Wang, Qiming; Siegel, Michael; Booty, Michael R.
2014
Long-wave equations and direct simulations for the breakup of a viscous fluid thread surrounded by an immiscible viscous fluid. Zbl 1282.76073
Booty, M. R.; Papageorgiou, D. T.; Siegel, M.; Wang, Q.
2013
Exact solutions for the evolution of a bubble in Stokes flow: A Cauchy transform approach. Zbl 1072.76024
Crowdy, Darren; Siegel, Michael
2005
Rotation of a superhydrophobic cylinder in a viscous liquid. Zbl 1430.76461
Yariv, Ehud; Siegel, Michael
2019
Convergence of a boundary integral method for 3D interfacial Darcy flow with surface tension. Zbl 1403.76136
Ambrose, David M.; Liu, Yang; Siegel, Michael
2017
Detection of complex singularities for a function of several variables. Zbl 1282.76089
Malakuti, Kamyar; Caflisch, Russel E.; Siegel, Michael; Virodov, Alex
2013
Rotation of a superhydrophobic cylinder in a viscous liquid. Zbl 1430.76461
Yariv, Ehud; Siegel, Michael
2019
A local target specific quadrature by expansion method for evaluation of layer potentials in 3D. Zbl 1398.65356
Siegel, Michael; Tornberg, Anna-Karin
2018
Well-posedness of two-dimensional hydroelastic waves. Zbl 1373.76015
Ambrose, David M.; Siegel, Michael
2017
Convergence of a boundary integral method for 3D interfacial Darcy flow with surface tension. Zbl 1403.76136
Ambrose, David M.; Liu, Yang; Siegel, Michael
2017
Numerical simulation of drop and bubble dynamics with soluble surfactant. Zbl 1321.76067
Wang, Qiming; Siegel, Michael; Booty, Michael R.
2014
A small-scale decomposition for 3D boundary integral computations with surface tension. Zbl 1349.76413
Ambrose, David M.; Siegel, Michael; Tlupova, Svetlana
2013
Analytical and computational methods for two-phase flow with soluble surfactant. Zbl 1329.76357
Xu, Kuan; Booty, M. R.; Siegel, M.
2013
Long-wave equations and direct simulations for the breakup of a viscous fluid thread surrounded by an immiscible viscous fluid. Zbl 1282.76073
Booty, M. R.; Papageorgiou, D. T.; Siegel, M.; Wang, Q.
2013
Detection of complex singularities for a function of several variables. Zbl 1282.76089
Malakuti, Kamyar; Caflisch, Russel E.; Siegel, Michael; Virodov, Alex
2013
A non-stiff boundary integral method for 3D porous media flow with surface tension. Zbl 1320.76087
Ambrose, David M.; Siegel, Michael
2012
A hybrid numerical method for interfacial fluid flow with soluble surfactant. Zbl 1423.76331
Booty, M. R.; Siegel, M.
2010
Influence of surfactant solubility on the deformation and breakup of a bubble or capillary jet in a viscous fluid. Zbl 1183.76595
Young, Y.-N.; Booty, M. R.; Siegel, M.; Li, J.
2009
Calculation of complex singular solutions to the 3D incompressible Euler equations. Zbl 1180.37124
Siegel, M.; Caflisch, R. E.
2009
Nonlinear dynamics of core-annular film flows in the presence of surfactant. Zbl 1171.76374
Kas-Danouche, S. A.; Papageorgiou, D. T.; Siegel, M.
2009
Influence of insoluble surfactant on the deformation and breakup of a bubble or thread in a viscous fluid. Zbl 1159.76315
Hameed, M.; Siegel, M.; Young, Y.-N.; Li, Jie; Booty, M. R.; Papageorgiou, D. T.
2008
Steady deformation and tip-streaming of a slender bubble with surfactant in an extensional flow. Zbl 1083.76059
Booty, M. R.; Siegel, M.
2005
Exact solutions for the evolution of a bubble in Stokes flow: A Cauchy transform approach. Zbl 1072.76024
Crowdy, Darren; Siegel, Michael
2005
Global existence, singular solutions, and ill-posedness for the Muskat problem. Zbl 1062.35089
Siegel, Michael; Caflisch, Russel E.; Howison, Sam
2004
Evolution of material voids for highly anisotropic surface energy. Zbl 1079.74513
Siegel, M.; Miksis, M. J.; Voorhees, P. W.
2004
A mathematical model for core-annular flows with surfactants. Zbl 1100.35087
Kas-Danouche, S.; Papageorgiou, D.; Siegel, M.
2004
A semi-analytic approach to Euler singularities. Zbl 1100.76009
Caflisch, Russel E.; Siegel, Michael
2004
The evolution of a slender non-axisymmetric drop in an extensional flow. Zbl 1065.76050
Howell, P. D.; Siegel, M.
2004
The small model property: How small can it be? Zbl 1012.03040
Pnueli, Amir; Rodeh, Yoav; Strichman, Ofer; Siegel, Michael
2002
Cusp formation for time-evolving bubbles in two-dimensional Stokes flow. Zbl 0967.76028
Siegel, Michael
2000
Deciding equality formulas by small domains instantiations. Zbl 1046.68605
Pnueli, Amir; Rodeh, Yoav; Shtrichman, Ofer; Siegel, Michael
1999
Influence of surfactant on rounded and pointed bubbles in two-dimensional Stokes flow. Zbl 0940.76015
Siegel, Michael
1999
The code validation tool (CVT). Automatic verification of a compilation process. Zbl 1022.68733
Pnueli, A.; Shtrichman, O.; Siegel, M.
1998
Singular effects of surface tension in evolving Hele-Shaw flows. Zbl 0885.76022
Siegel, Michael; Tanveer, Saleh; Dai, Wei-Shen
1996
A study of singularity formation in the Kelvin-Helmholtz instability with surface tension. Zbl 0839.76012
Siegel, Michael
1995
A well-posed numerical method to track isolated conformal map singularities in the Hele-Shaw flow. Zbl 0841.76061
Baker, Gregory; Siegel, Michael; Tanveer, Saleh
1995
Singularity formation during Rayleigh-Taylor instability. Zbl 0791.76027
Baker, Gregory; Caflisch, Russel E.; Siegel, Michael
1993
Two-dimensional spreading of a granular avalanche down an inclined plane. I: Theory. Zbl 0821.73002
Hutter, K.; Siegel, M.; Savage, S. B.; Nohguchi, Y.
1993
A localized approximation method for vortical flows. Zbl 0712.76026
Caflisch, R. E.; Orellana, O. F.; Siegel, M.
1990
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#### Cited by 450 Authors

 17 Gancedo, Francisco 14 Cordoba, Diego 12 Ambrose, David M. 12 Siegel, Michael 11 Forbes, Lawrence K. 9 Hou, Thomas Yizhao 9 Papageorgiou, Demetrios T. 8 Lowengrub, John Samuel 7 Hutter, Kolumban 6 Matioc, Bogdan-Vasile 5 Caflisch, Russel E. 5 Crowdy, Darren Gregory 5 Pudasaini, Shiva P. 5 Tornberg, Anna-Karin 4 Booty, Michael R. 4 Castro, Ángel 4 Ceniceros, Hector D. 4 Fefferman, Charles Louis 4 Fusco, Nicola 4 Gargano, Francesco 4 Lai, Mingchih 4 Morini, Massimiliano 4 Sciacca, Vincenzo 4 Strichman, Ofer 4 Wang, Qiming 4 Wang, Yongqi 4 Young, Yuan-Nan 4 Zohdi, Tarek I. 3 Akers, Benjamin F. 3 Badban, Bahareh 3 Beale, J. Thomas 3 Bławzdziewicz, Jerzy 3 Blyth, Mark G. 3 Chen, Michael J. 3 Fonseca, Irene 3 Leoni, Giovanni 3 Liu, Shunlian 3 Luo, Guo 3 Nie, Qing 3 Pitman, E. Bruce 3 Protas, Bartosz 3 Sammartino, Marco Maria Luigi 3 Savina, Tatiana V. 3 Shelley, Michael J. 3 Smyrlis, Yiorgos-Sokratis 3 Strain, Robert M. 3 Vanden-Broeck, Jean-Marc 3 Vasylyeva, Nataliya V. 2 Akinyemi, Lanre 2 Akrivis, Georgios D. 2 Aksel, Nuri 2 Anna, Shelley Lynn 2 Ayala, Diego 2 Baker, Greg R. 2 Baker, Gregory R. 2 Barrett, Clark W. 2 Bassom, Andrew P. 2 Bazaliy, Borys V. 2 Booth, R. J. S. 2 Bothe, Dieter 2 Constantin, Peter 2 Córdoba Barba, Antonio Juan 2 Craster, Richard V. 2 Cristini, Vittorio 2 Daripa, Prabir K. 2 de la Hoz, Francisco 2 Dutto, Patrick 2 Escher, Joachim 2 Favelukis, Moshe 2 Fontelos López, Marco Antonio 2 Ganesan, Sashikumaar 2 Gómez-Serrano, Javier 2 Granero Belinchón, Rafael 2 Greengard, Leslie F. 2 Hsiau, Shu-San 2 Julin, Vesa 2 Kalogirou, Anna 2 Khatri, Shilpa 2 Kou, Jisheng 2 Kröning, Daniel 2 Lei, Zhen 2 Li, Jie 2 Li, Xiaofan 2 López-Fernández, María 2 Marschall, Holger 2 Matar, Omar K. 2 Matioc, Anca-Voichita 2 Mira, Pablo 2 Moore, M. Nicholas J. 2 Nguyen, Huy Quang 2 Nitsche, Monika 2 Orive Illera, Rafael 2 Părău, Emilian I. 2 Pastor, M. J. 2 Patra, Abani K. 2 Pnueli, Amir 2 Qamar, Shamsul 2 Renardy, Michael 2 Renardy, Yuriko Yamamuro 2 Rodeh, Yoav ...and 350 more Authors
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#### Cited in 84 Serials

 42 Journal of Computational Physics 31 Journal of Fluid Mechanics 27 Physics of Fluids 11 Archive for Rational Mechanics and Analysis 6 Computers and Fluids 6 Communications in Mathematical Physics 6 Journal of Engineering Mathematics 6 Physica D 5 Journal of Differential Equations 5 Journal of Mathematical Fluid Mechanics 4 Formal Methods in System Design 3 Computer Methods in Applied Mechanics and Engineering 3 Communications on Pure and Applied Mathematics 3 Advances in Mathematics 3 Mathematics and Computers in Simulation 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Information and Computation 3 Journal of Automated Reasoning 3 Proceedings of the National Academy of Sciences of the United States of America 3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 The ANZIAM Journal 3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Journal of Mathematical Analysis and Applications 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Mathematics of Computation 2 Calcolo 2 Numerische Mathematik 2 Quarterly of Applied Mathematics 2 Ricerche di Matematica 2 Transactions of the American Mathematical Society 2 Journal of Symbolic Computation 2 Formal Aspects of Computing 2 European Journal of Applied Mathematics 2 SIAM Review 2 Archive of Applied Mechanics 2 Journal of Nonlinear Science 2 Continuum Mechanics and Thermodynamics 2 SIAM Journal on Scientific Computing 2 Chaos 2 Annals of Mathematics. Second Series 2 Archives of Computational Methods in Engineering 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 S$$\vec{\text{e}}$$MA Journal 1 Acta Mechanica 1 Computers & Mathematics with Applications 1 Fluid Dynamics 1 International Journal of Solids and Structures 1 Journal of Mathematical Physics 1 Journal of the Mechanics and Physics of Solids 1 Physics Reports 1 Indiana University Mathematics Journal 1 Theoretical Computer Science 1 Annals of Pure and Applied Logic 1 Journal of Computer Science and Technology 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 Japan Journal of Industrial and Applied Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Applied Mathematical Modelling 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Applied and Computational Harmonic Analysis 1 Journal of Mathematical Sciences (New York) 1 Discrete and Continuous Dynamical Systems 1 Mathematics and Mechanics of Solids 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 European Journal of Mechanics. B. Fluids 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Turbulence 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Computational Methods and Function Theory 1 Multiscale Modeling & Simulation 1 Complex Variables and Elliptic Equations 1 Complex Analysis and Operator Theory 1 Journal of Physics A: Mathematical and Theoretical 1 Analysis & PDE 1 Fractional Differential Calculus 1 Evolution Equations and Control Theory 1 SIAM/ASA Journal on Uncertainty Quantification 1 Philosophical Transactions A. Royal Society of London 1 Bollettino dell’Unione Matematica Italiana
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#### Cited in 30 Fields

 212 Fluid mechanics (76-XX) 89 Partial differential equations (35-XX) 41 Numerical analysis (65-XX) 30 Mechanics of deformable solids (74-XX) 21 Computer science (68-XX) 13 Geophysics (86-XX) 10 Mathematical logic and foundations (03-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Functions of a complex variable (30-XX) 4 Integral equations (45-XX) 4 Biology and other natural sciences (92-XX) 3 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Ordinary differential equations (34-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)

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