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O’Brien, S. B. G. M.

Co-Author Distance
Author ID: obrien.s-b-g-m Recent zbMATH articles by "O’Brien, S. B. G. M."
Published as: O’Brien, S. B. G. M.
Documents Indexed: 32 Publications since 1989
Co-Authors: 1 Co-Author with 1 Joint Publication
4 Co-Co-Authors
all top 5

Co-Authors

8 single-authored
7 Benilov, Eugene S.
4 Mitchell, Sarah L.
4 Vynnycky, Michael
2 Devine, K. M.
2 Florio, Brendan J.
2 Lacey, S. M.
2 Lammers, J. H.
2 Slikkerveer, Peter J.
1 Benilov, M. S.
1 Casey, V.
1 Dijksman, J. F.
1 Hayes, Mark A.
1 Kopteva, Natalia Viktorovna
1 Lapin, Vasiliĭ Nikolaevich
1 McInerney, N. P.
1 Sazonov, Igor A.
1 van Lohuizen, E. P.
all top 5

Serials

4 Quarterly of Applied Mathematics
3 Journal of Fluid Mechanics
3 Quarterly Journal of Mechanics and Applied Mathematics
2 IMA Journal of Applied Mathematics
2 Journal of Engineering Mathematics
2 Applied Mathematics and Computation
2 International Journal of Mathematics and Mathematical Sciences
2 Physics of Fluids
1 Acta Mechanica
1 International Journal of Engineering Science
1 International Journal for Numerical Methods in Fluids
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Applied Mathematical Modelling
1 SIAM Journal on Applied Mathematics
1 SIAM Review
1 Mathematical Engineering in Industry
1 International Journal of Pure and Applied Mathematics
all top 5

Fields

26 Fluid mechanics (76-XX)
6 Partial differential equations (35-XX)
5 Classical thermodynamics, heat transfer (80-XX)
4 Mechanics of deformable solids (74-XX)
3 Ordinary differential equations (34-XX)
2 Numerical analysis (65-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematics education (97-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

21 Publications have been cited 13 times in 13 Documents Cited by ▼ Year ▼
A new type of instability: Explosive disturbances in a liquid film inside a rotating horizontal cylinder. Zbl 1072.76027
Benilov, E. S.; O’Brien, S. B. G.; Sazonov, I. A.
21
2003
Inertial instability of a liquid film inside a rotating horizontal cylinder. Zbl 1187.76043
Benilov, E. S.; O’brien, S. B. G.
19
2005
Asymptotic, numerical and approximate techniques for a free boundary problem arising in the diffusion of glassy polymers. Zbl 1294.82043
Mitchell, S. L.; O’Brien, S. B. G.
13
2012
Green’s function for steady flow over a small two-dimensional topography. Zbl 1184.76213
Hayes, M.; O’brien, S. B. G.; Lammers, J. H.
11
2000
Asymptotic and numerical solutions of a free boundary problem for the sorption of a finite amount of solvent into a glassy polymer. Zbl 1298.35257
Mitchell, S. L.; O’Brien, S. B. G.
10
2014
An implicit surface tension algorithm for Picard solvers of surface-tension-dominated free and moving boundary problems. Zbl 0865.76042
Slikkerveer, P. J.; van Lohuizen, E. P.; O’Brien, S. B. G.
10
1996
On the shape of small sessile and pendant drops by singular perturbation techniques. Zbl 0738.76018
O’Brien, S. B. G.
10
1991
On Marangoni drying: Nonlinear kinematic waves in a thin film. Zbl 0800.76097
O’Brien, S. B. G. M.
8
1993
Existence and stability of regularized shock solutions, with applications to rimming flows. Zbl 1160.76016
Benilov, E. S.; Benilov, M. S.; O’Brien, S. B. G.
7
2009
Linear stability of rimming flow. Zbl 1026.76018
O’Brien, S. B. G.
5
2002
On rimming flows with shocks. Zbl 1254.76161
Benilov, E. S.; Lapin, V. N.; O’Brien, S. B. G.
5
2012
Mould-taper asymptotics and air gap formation in continuous casting. Zbl 1410.74018
Florio, B. J.; Vynnycky, M.; Mitchell, S. L.; O’Brien, S. B. G.
5
2015
Does surface tension stabilize liquid films inside a rotating horizontal cylinder? Zbl 1073.76035
Benilov, E. S.; Kopteva, N.; O’Brien, S. B. G.
4
2005
A mechanism for linear instability in two-dimensional rimming flow. Zbl 1075.76029
O’Brien, S. B. G.
4
2002
On the interactive effects of mould taper and superheat on air gaps in continuous casting. Zbl 1401.74073
Florio, Brendan J.; Vynnycky, M.; Mitchell, S. L.; O’Brien, S. B. G.
4
2017
A moving boundary problem in porous flow. Zbl 0838.76089
O’Brien, S. B. G. M.; Dijksman, J. F.
3
1989
Exploding solutions for three-dimensional rimming flow. Zbl 1082.76042
Benilov, E. S.; Lacey, S. M.; O’Brien, S. B. G.
2
2005
Asymptotic solutions for double pendant and extended sessile drops. Zbl 0793.76015
O’Brien, S. B. G. M.
2
1994
A model for gravity driven flow of a thin liquid-solid solution with evaporation effects. Zbl 1075.76007
Hayes, M.; O’Brien, S. B. G.
1
2005
A validated asymptotic thermomechanical model for air-gap formation in tapered moulds in the continuous casting of steel. Zbl 1471.76082
Devine, K. M.; Vynnycky, M.; Mitchell, S. L.; O’Brien, S. B. G.
1
2021
Approximate solution techniques for the sorption of a finite amount of swelling solvent in a glassy polymer. Zbl 1481.80015
Mitchell, S. L.; McInerney, N. P.; O’Brien, S. B. G.
1
2021
A validated asymptotic thermomechanical model for air-gap formation in tapered moulds in the continuous casting of steel. Zbl 1471.76082
Devine, K. M.; Vynnycky, M.; Mitchell, S. L.; O’Brien, S. B. G.
1
2021
Approximate solution techniques for the sorption of a finite amount of swelling solvent in a glassy polymer. Zbl 1481.80015
Mitchell, S. L.; McInerney, N. P.; O’Brien, S. B. G.
1
2021
On the interactive effects of mould taper and superheat on air gaps in continuous casting. Zbl 1401.74073
Florio, Brendan J.; Vynnycky, M.; Mitchell, S. L.; O’Brien, S. B. G.
4
2017
Mould-taper asymptotics and air gap formation in continuous casting. Zbl 1410.74018
Florio, B. J.; Vynnycky, M.; Mitchell, S. L.; O’Brien, S. B. G.
5
2015
Asymptotic and numerical solutions of a free boundary problem for the sorption of a finite amount of solvent into a glassy polymer. Zbl 1298.35257
Mitchell, S. L.; O’Brien, S. B. G.
10
2014
Asymptotic, numerical and approximate techniques for a free boundary problem arising in the diffusion of glassy polymers. Zbl 1294.82043
Mitchell, S. L.; O’Brien, S. B. G.
13
2012
On rimming flows with shocks. Zbl 1254.76161
Benilov, E. S.; Lapin, V. N.; O’Brien, S. B. G.
5
2012
Existence and stability of regularized shock solutions, with applications to rimming flows. Zbl 1160.76016
Benilov, E. S.; Benilov, M. S.; O’Brien, S. B. G.
7
2009
Inertial instability of a liquid film inside a rotating horizontal cylinder. Zbl 1187.76043
Benilov, E. S.; O’brien, S. B. G.
19
2005
Does surface tension stabilize liquid films inside a rotating horizontal cylinder? Zbl 1073.76035
Benilov, E. S.; Kopteva, N.; O’Brien, S. B. G.
4
2005
Exploding solutions for three-dimensional rimming flow. Zbl 1082.76042
Benilov, E. S.; Lacey, S. M.; O’Brien, S. B. G.
2
2005
A model for gravity driven flow of a thin liquid-solid solution with evaporation effects. Zbl 1075.76007
Hayes, M.; O’Brien, S. B. G.
1
2005
A new type of instability: Explosive disturbances in a liquid film inside a rotating horizontal cylinder. Zbl 1072.76027
Benilov, E. S.; O’Brien, S. B. G.; Sazonov, I. A.
21
2003
Linear stability of rimming flow. Zbl 1026.76018
O’Brien, S. B. G.
5
2002
A mechanism for linear instability in two-dimensional rimming flow. Zbl 1075.76029
O’Brien, S. B. G.
4
2002
Green’s function for steady flow over a small two-dimensional topography. Zbl 1184.76213
Hayes, M.; O’brien, S. B. G.; Lammers, J. H.
11
2000
An implicit surface tension algorithm for Picard solvers of surface-tension-dominated free and moving boundary problems. Zbl 0865.76042
Slikkerveer, P. J.; van Lohuizen, E. P.; O’Brien, S. B. G.
10
1996
Asymptotic solutions for double pendant and extended sessile drops. Zbl 0793.76015
O’Brien, S. B. G. M.
2
1994
On Marangoni drying: Nonlinear kinematic waves in a thin film. Zbl 0800.76097
O’Brien, S. B. G. M.
8
1993
On the shape of small sessile and pendant drops by singular perturbation techniques. Zbl 0738.76018
O’Brien, S. B. G.
10
1991
A moving boundary problem in porous flow. Zbl 0838.76089
O’Brien, S. B. G. M.; Dijksman, J. F.
3
1989
all cited Publications top 5 cited Publications
all top 5

Cited by 26 Authors

2 Christiansen, Søren
2 Craster, Richard V.
2 Matar, Omar K.
1 Ben Amar, Martine
1 Boudaoud, Arezki
1 Cai, Xiao-Chuan
1 Calmelet, Colette
1 Cregan, Vincent
1 Geer, J.
1 Hansen, Per Christian
1 Herrero, Henar
1 Homentcovschi, Dorel
1 Hwang, Fengnan
1 Jensen, Oliver E.
1 Khodabocus, M. Irshad
1 McKee, Sean
1 Nock, Volker
1 O’Brien, Stephen B. G.
1 Rosenhaus, Vladimir
1 Sellier, Mathieu
1 Singler, Timothy J.
1 Slikkerveer, Peter J.
1 Squellati, Cody
1 Sultan, Eric
1 Warner, Mark R. E.
1 Yang, Haijian
all top 5

Cited in 7 Serials

4 Physics of Fluids
2 Acta Mechanica
2 Journal of Computational and Applied Mathematics
1 International Journal of Engineering Science
1 Journal of Engineering Mathematics
1 SIAM Journal on Scientific Computing
1 Advances in Mathematical Physics
all top 5

Cited in 8 Fields

11 Fluid mechanics (76-XX)
3 Partial differential equations (35-XX)
3 Numerical analysis (65-XX)
1 Nonassociative rings and algebras (17-XX)
1 Ordinary differential equations (34-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year