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Siegel, Michael

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Author ID: siegel.michael Recent zbMATH articles by "Siegel, Michael"
Published as: Siegel, M.; Siegel, Michael
External Links: MGP · Wikidata
Documents Indexed: 41 Publications since 1990, including 1 Book

Publications by Year

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
51
2004
Singularity formation during Rayleigh-Taylor instability. Zbl 0791.76027
Baker, Gregory; Caflisch, Russel E.; Siegel, Michael
35
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.
23
1993
A hybrid numerical method for interfacial fluid flow with soluble surfactant. Zbl 1423.76331
Booty, M. R.; Siegel, M.
20
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.
16
2008
Steady deformation and tip-streaming of a slender bubble with surfactant in an extensional flow. Zbl 1083.76059
Booty, M. R.; Siegel, M.
15
2005
Evolution of material voids for highly anisotropic surface energy. Zbl 1079.74513
Siegel, M.; Miksis, M. J.; Voorhees, P. W.
14
2004
Singular effects of surface tension in evolving Hele-Shaw flows. Zbl 0885.76022
Siegel, Michael; Tanveer, Saleh; Dai, Wei-Shen
13
1996
Deciding equality formulas by small domains instantiations. Zbl 1046.68605
Pnueli, Amir; Rodeh, Yoav; Shtrichman, Ofer; Siegel, Michael
12
1999
Influence of surfactant on rounded and pointed bubbles in two-dimensional Stokes flow. Zbl 0940.76015
Siegel, Michael
12
1999
Cusp formation for time-evolving bubbles in two-dimensional Stokes flow. Zbl 0967.76028
Siegel, Michael
11
2000
Well-posedness of two-dimensional hydroelastic waves. Zbl 1373.76015
Ambrose, David M.; Siegel, Michael
10
2017
A study of singularity formation in the Kelvin-Helmholtz instability with surface tension. Zbl 0839.76012
Siegel, Michael
10
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.
8
2009
The code validation tool (CVT). Automatic verification of a compilation process. Zbl 1022.68733
Pnueli, A.; Shtrichman, O.; Siegel, M.
8
1998
A small-scale decomposition for 3D boundary integral computations with surface tension. Zbl 1349.76413
Ambrose, David M.; Siegel, Michael; Tlupova, Svetlana
7
2013
Calculation of complex singular solutions to the 3D incompressible Euler equations. Zbl 1180.37124
Siegel, M.; Caflisch, R. E.
7
2009
A localized approximation method for vortical flows. Zbl 0712.76026
Caflisch, R. E.; Orellana, O. F.; Siegel, M.
7
1990
A local target specific quadrature by expansion method for evaluation of layer potentials in 3D. Zbl 1398.65356
Siegel, Michael; Tornberg, Anna-Karin
6
2018
Analytical and computational methods for two-phase flow with soluble surfactant. Zbl 1329.76357
Xu, Kuan; Booty, M. R.; Siegel, M.
6
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.
6
2009
The small model property: How small can it be? Zbl 1012.03040
Pnueli, Amir; Rodeh, Yoav; Strichman, Ofer; Siegel, Michael
6
2002
A non-stiff boundary integral method for 3D porous media flow with surface tension. Zbl 1320.76087
Ambrose, David M.; Siegel, Michael
4
2012
A mathematical model for core-annular flows with surfactants. Zbl 1100.35087
Kas-Danouche, S.; Papageorgiou, D.; Siegel, M.
3
2004
A semi-analytic approach to Euler singularities. Zbl 1100.76009
Caflisch, Russel E.; Siegel, Michael
3
2004
The evolution of a slender non-axisymmetric drop in an extensional flow. Zbl 1065.76050
Howell, P. D.; Siegel, M.
3
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
3
1995
Numerical simulation of drop and bubble dynamics with soluble surfactant. Zbl 1321.76067
Wang, Qiming; Siegel, Michael; Booty, Michael R.
2
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.
2
2013
Exact solutions for the evolution of a bubble in Stokes flow: A Cauchy transform approach. Zbl 1072.76024
Crowdy, Darren; Siegel, Michael
2
2005
Rotation of a superhydrophobic cylinder in a viscous liquid. Zbl 1430.76461
Yariv, Ehud; Siegel, Michael
1
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
1
2017
Detection of complex singularities for a function of several variables. Zbl 1282.76089
Malakuti, Kamyar; Caflisch, Russel E.; Siegel, Michael; Virodov, Alex
1
2013
Rotation of a superhydrophobic cylinder in a viscous liquid. Zbl 1430.76461
Yariv, Ehud; Siegel, Michael
1
2019
A local target specific quadrature by expansion method for evaluation of layer potentials in 3D. Zbl 1398.65356
Siegel, Michael; Tornberg, Anna-Karin
6
2018
Well-posedness of two-dimensional hydroelastic waves. Zbl 1373.76015
Ambrose, David M.; Siegel, Michael
10
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
1
2017
Numerical simulation of drop and bubble dynamics with soluble surfactant. Zbl 1321.76067
Wang, Qiming; Siegel, Michael; Booty, Michael R.
2
2014
A small-scale decomposition for 3D boundary integral computations with surface tension. Zbl 1349.76413
Ambrose, David M.; Siegel, Michael; Tlupova, Svetlana
7
2013
Analytical and computational methods for two-phase flow with soluble surfactant. Zbl 1329.76357
Xu, Kuan; Booty, M. R.; Siegel, M.
6
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.
2
2013
Detection of complex singularities for a function of several variables. Zbl 1282.76089
Malakuti, Kamyar; Caflisch, Russel E.; Siegel, Michael; Virodov, Alex
1
2013
A non-stiff boundary integral method for 3D porous media flow with surface tension. Zbl 1320.76087
Ambrose, David M.; Siegel, Michael
4
2012
A hybrid numerical method for interfacial fluid flow with soluble surfactant. Zbl 1423.76331
Booty, M. R.; Siegel, M.
20
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.
8
2009
Calculation of complex singular solutions to the 3D incompressible Euler equations. Zbl 1180.37124
Siegel, M.; Caflisch, R. E.
7
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.
6
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.
16
2008
Steady deformation and tip-streaming of a slender bubble with surfactant in an extensional flow. Zbl 1083.76059
Booty, M. R.; Siegel, M.
15
2005
Exact solutions for the evolution of a bubble in Stokes flow: A Cauchy transform approach. Zbl 1072.76024
Crowdy, Darren; Siegel, Michael
2
2005
Global existence, singular solutions, and ill-posedness for the Muskat problem. Zbl 1062.35089
Siegel, Michael; Caflisch, Russel E.; Howison, Sam
51
2004
Evolution of material voids for highly anisotropic surface energy. Zbl 1079.74513
Siegel, M.; Miksis, M. J.; Voorhees, P. W.
14
2004
A mathematical model for core-annular flows with surfactants. Zbl 1100.35087
Kas-Danouche, S.; Papageorgiou, D.; Siegel, M.
3
2004
A semi-analytic approach to Euler singularities. Zbl 1100.76009
Caflisch, Russel E.; Siegel, Michael
3
2004
The evolution of a slender non-axisymmetric drop in an extensional flow. Zbl 1065.76050
Howell, P. D.; Siegel, M.
3
2004
The small model property: How small can it be? Zbl 1012.03040
Pnueli, Amir; Rodeh, Yoav; Strichman, Ofer; Siegel, Michael
6
2002
Cusp formation for time-evolving bubbles in two-dimensional Stokes flow. Zbl 0967.76028
Siegel, Michael
11
2000
Deciding equality formulas by small domains instantiations. Zbl 1046.68605
Pnueli, Amir; Rodeh, Yoav; Shtrichman, Ofer; Siegel, Michael
12
1999
Influence of surfactant on rounded and pointed bubbles in two-dimensional Stokes flow. Zbl 0940.76015
Siegel, Michael
12
1999
The code validation tool (CVT). Automatic verification of a compilation process. Zbl 1022.68733
Pnueli, A.; Shtrichman, O.; Siegel, M.
8
1998
Singular effects of surface tension in evolving Hele-Shaw flows. Zbl 0885.76022
Siegel, Michael; Tanveer, Saleh; Dai, Wei-Shen
13
1996
A study of singularity formation in the Kelvin-Helmholtz instability with surface tension. Zbl 0839.76012
Siegel, Michael
10
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
3
1995
Singularity formation during Rayleigh-Taylor instability. Zbl 0791.76027
Baker, Gregory; Caflisch, Russel E.; Siegel, Michael
35
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.
23
1993
A localized approximation method for vortical flows. Zbl 0712.76026
Caflisch, R. E.; Orellana, O. F.; Siegel, M.
7
1990
all top 5

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
all top 5

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

Citations by Year

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