## Forbes, Lawrence K.

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 Author ID: forbes.lawrence-k Published as: Forbes, Lawrence K.; Forbes, L. K. Homepage: http://www.maths.utas.edu.au/People/Forbes External Links: MGP · ORCID · dblp
 Documents Indexed: 144 Publications since 1979 Co-Authors: 55 Co-Authors with 106 Joint Publications 426 Co-Co-Authors
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### Co-Authors

 37 single-authored 39 Hocking, Graeme Charles 10 Stokes, Timothy E. 7 Gray, Brian F. 7 Walters, Stephen J. 6 Belward, Shaun R. 6 Chen, Michael J. 4 Cosgrove, Jason M. 4 Crozier, Stuart 4 McCue, Scott William 4 Paul, Rhys A. 3 Beeton, Nicholas J. 3 Brideson, Michael A. 3 Koerber, Adrian J. 3 Sexton, M. Jane 2 Bassom, Andrew P. 2 Carver, Scott 2 Chandler, Graeme A. 2 Farrow, Duncan E. 2 Holmes, R. J. 2 Horsley, David E. 2 Krzysik, Oliver A. 2 Nguyen, H. H. N. 2 Reading, Anya M. 2 Schwartz, Leonard W. 2 Sidhu, Harvinder Singh 1 Allwright, Emma J. 1 Baillard, N. Y. 1 Browne, Catherine A. 1 Bulte, D. P. 1 Callaghan, T. G. 1 Chen, Sue Ann 1 Cockerill, Madeleine 1 Derrick, William R. 1 Doddrell, David M. 1 Forbes, Anne-Marie H. 1 Gujarati, K. 1 Hadley, Scott A. 1 Hansen, John M. 1 Hayes, Keith R. 1 Hindle, Ivy J. 1 Holmes, Catherine A. 1 Hosack, Geoffrey R. 1 Ickowicz, Adrien 1 Lester, Earl S. 1 Letchford, Nicholas A. 1 Myerscough, Mary R. 1 Osborne, Tobias J. 1 Russell, Patrick S. 1 Shraida, Shaymaa M. 1 Snape-Jenkinson, C. J. 1 Trenham, Claire E. 1 Turner, Ross J. 1 Vanden-Broeck, Jean-Marc 1 Watts, Anthony M. 1 While, Peter T. 1 Wilkins, Andrew H. 1 Wotherspoon, Simon J.
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### Serials

 37 Journal of Engineering Mathematics 26 The ANZIAM Journal 15 Journal of Fluid Mechanics 12 Journal of the Australian Mathematical Society, Series B 6 Computers and Fluids 6 European Journal of Applied Mathematics 4 Journal of Computational Physics 4 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 3 Dynamics and Stability of Systems 3 Applied Mathematical Modelling 3 SIAM Journal on Applied Mathematics 3 Physics of Fluids 2 Physica D 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 European Journal of Mechanics. B. Fluids 2 Journal of Theoretical Biology 1 Bulletin of the Australian Mathematical Society 1 IMA Journal of Applied Mathematics 1 Journal of Sound and Vibration 1 Quarterly Journal of Mechanics and Applied Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Physics of Fluids, A 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Journal of Elasticity 1 Journal of Applied Mathematics 1 Journal of Biological Dynamics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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### Fields

 111 Fluid mechanics (76-XX) 22 Geophysics (86-XX) 20 Partial differential equations (35-XX) 17 Biology and other natural sciences (92-XX) 16 Classical thermodynamics, heat transfer (80-XX) 14 Numerical analysis (65-XX) 13 Ordinary differential equations (34-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Optics, electromagnetic theory (78-XX) 3 Mechanics of deformable solids (74-XX) 2 Integral equations (45-XX) 2 Mechanics of particles and systems (70-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

118 Publications have been cited 831 times in 353 Documents Cited by Year
Free-surface flow over a semicircular obstruction. Zbl 0517.76020
Forbes, Lawrence K.; Schwartz, Leonard W.
1982
Critical free-surfaces flow over a semi-circular obstruction. Zbl 0638.76008
Forbes, L. K.
1988
Surface waves of large amplitude beneath an elastic sheet. I. High-order series solution. Zbl 0607.76015
Forbes, Lawrence K.
1986
Surface waves of large amplitude beneath an elastic sheet. II. Galerkin solution. Zbl 0643.76013
Forbes, Lawrence K.
1988
Caluculating current densities and fields produced by shielded magnetic resonance imaging probes. Zbl 0871.65116
Forbes, Lawrence K.; Crozier, Stuart; Doddrell, David M.
1997
The Rayleigh-Taylor instability for inviscid and viscous fluids. Zbl 1180.76023
Forbes, Lawrence K.
2009
An algorithm for 3-dimensional free-surface problems in hydrodynamics. Zbl 0667.76028
Forbes, Lawrence K.
1989
Flow caused by a point sink in a fluid having a free surface. Zbl 0708.76032
Forbes, Lawrence K.; Hocking, Graeme C.
1990
On the wave resistance of a submerged semi-elliptical body. Zbl 0477.76018
Forbes, L. K.
1981
On the effects of nonlinearity in free-surface flow about a submerged point vortex. Zbl 0585.76035
Forbes, L. K.
1985
Computing unstable periodic waves at the interface of two inviscid fluids in uniform vertical flow. Zbl 1123.76012
Forbes, Lawrence K.; Chen, Michael J.; Trenham, Claire E.
2007
Unsteady free-surface flow induced by a line sink. Zbl 1038.76510
Stokes, T. E.; Hocking, G. C.; Forbes, L. K.
2003
A note on the flow induced by a line sink beneath a free surface. Zbl 0716.76016
Hocking, G. C.; Forbes, L. K.
1991
A cylindrical Rayleigh-Taylor instability: radial outflow from pipes or stars. Zbl 1254.76084
Forbes, Lawrence K.
2011
Nonlinear, drag-free flow over a submerged semi-elliptical body. Zbl 0491.76025
Forbes, L. K.
1982
Subcritical free-surface flow caused by a line source in a fluid of finite depth. Zbl 0763.76011
Hocking, G. C.; Forbes, L. K.
1992
Super-critical withdrawal from a two-layer fluid through a line sink if the lower layer is of finite depth. Zbl 0973.76020
Hocking, G. C.; Forbes, L. K.
2001
Free-surface flow over a semicircular obstruction, including the influence of gravity and surface tension. Zbl 0524.76021
Forbes, Lawrence K.
1983
Flow induced by a line sink in a quiescent fluid with surface-tension effects. Zbl 0771.76012
Forbes, Lawrence K.; Hocking, Graeme C.
1993
Two-layer critical flow over a semi-circular obstruction. Zbl 0707.76100
Forbes, L. K.
1989
Unsteady flow induced by a withdrawal point beneath a free surface. Zbl 1123.76321
Stokes, T. E.; Hocking, G. C.; Forbes, L. K.
2005
Fully non-linear two-layer flow over arbitrary topography. Zbl 0793.76106
Belward, S. R.; Forbes, L. K.
1993
The bath-plug vortex. Zbl 0846.76013
Forbes, Lawrence K.; Hocking, Graeme C.
1995
Accurate methods for computing inviscid and viscous Kelvin-Helmholtz instability. Zbl 1391.76147
Chen, Michael J.; Forbes, Lawrence K.
2011
Rayleigh-Taylor instabilities in axi-symmetric outflow from a point source. Zbl 1247.76032
Forbes, Lawrence K.
2011
On the computation of steady axisymmetric withdrawal from a two-layer fluid. Zbl 1013.76019
Forbes, Lawrence K.; Hocking, Graeme C.
2003
Free-surface flows emerging from beneath a semi-infinite plate with constant vorticity. Zbl 1003.76008
McCue, Scott W.; Forbes, Lawrence K.
2002
Unsteady draining flows from a rectangular tank. Zbl 1182.76252
Forbes, Lawrence K.; Hocking, Graeme C.
2007
Bow and stern flows with constant vorticity. Zbl 0958.76010
McCue, Scott W.; Forbes, Lawrence K.
1999
A note on withdrawal from a fluid of finite depth through a point sink. Zbl 1018.76007
Hocking, G. C.; Vanden-Broeck, J.-M.; Forbes, L. K.
2002
Waveless subcritical flow past symmetric bottom topography. Zbl 1267.76011
Holmes, R. J.; Hocking, G. C.; Forbes, L. K.; Baillard, N. Y.
2013
Unsteady free surface flow induced by a line sink in a fluid of finite depth. Zbl 1237.76132
Stokes, T. E.; Hocking, G. C.; Forbes, L. K.
2008
Limit-cycle behaviour in a model chemical reaction: The Sal’nikov thermokinetic oscillator. Zbl 0729.92033
Forbes, Lawrence K.
1990
Interfacial waves and hydraulic falls: Some applications to atmospheric flows in the lee of mountains. Zbl 0823.76014
Belward, Shaun R.; Forbes, Lawrence K.
1995
A note on waveless subcritical flow past a submerged semi-ellipse. Zbl 1359.76060
Hocking, G. C.; Holmes, R. J.; Forbes, L. K.
2013
Steady flow of a buoyant plume into a constant-density layer. Zbl 1310.76176
Hocking, G. C.; Forbes, L. K.
2010
Salt-water up-coning during extraction of fresh water from a tropical island. Zbl 1046.76050
Forbes, Lawrence K.; Hocking, Graeme C.; Wotherspoon, Simon
2004
How strain and spin may make a star bi-polar. Zbl 1309.85004
Forbes, Lawrence K.
2014
A note on withdrawal through point sink in fluid of finite depth. Zbl 0854.76007
Forbes, Lawrence K.; Hocking, Graeme C.; Chandler, Graeme A.
1996
Irregular frequencies and iterative methods in the solution of steady surface-wave problems in hydrodynamics. Zbl 0569.76020
Forbes, L. K.
1984
Atmospheric interfacial waves. Zbl 0825.76126
Forbes, Lawrence K.; Belward, Shaun R.
1992
An intrusion layer in stationary incompressible fluids. II: A solitary wave. Zbl 1124.76004
Forbes, Lawrence K.; Hocking, Graeme C.
2006
Withdrawal from a two-layer inviscid fluid in a duct. Zbl 0916.76093
Forbes, Lawrence K.; Hocking, Graeme C.
1998
Inviscid and viscous models of axisymmetric fluid jets or plumes. Zbl 1254.76074
Letchford, Nicholas A.; Forbes, Lawrence K.; Hocking, Graeme C.
2012
A note on steady flow into a submerged point sink. Zbl 1306.76005
Hocking, G. C.; Forbes, L. K.; Stokes, T. E.
2014
The initiation of a planar fluid plume beneath a rigid lid. Zbl 1469.76039
Russell, Patrick S.; Forbes, Lawrence K.; Hocking, Graeme C.
2017
A combustion wave of permanent form in a compressible gas. Zbl 1065.80505
Forbes, Lawrence K.; Derrick, William
2001
On the presence of limit-cycles in a model exothermic chemical reaction: Sal’nikov’s oscillator with two temperature-dependent reaction rates. Zbl 0729.34502
Forbes, Lawrence K.; Myerscough, Mary R.; Gray, Brian F.
1991
Dynamical systems analysis of a five-dimensional trophic food web model in the southern oceans. Zbl 1196.37125
Hadley, Scott A.; Forbes, Lawrence K.
2009
An intrusion layer in stationary incompressible fluids. I: Periodic waves. Zbl 1123.76007
Forbes, Lawrence K.; Hocking, Graeme C.; Farrow, Duncan E.
2006
One-dimensional pattern formation in a model of burning. Zbl 0797.35084
Forbes, Lawrence K.
1993
Flow due to a sink near a vertical wall, in infinitely deep fluid. Zbl 1134.76318
Forbes, Lawrence K.; Hocking, Graeme C.
2005
Kelvin-Helmholtz creeping flow at the interface between two viscous fluids. Zbl 1327.76064
Forbes, Lawrence K.; Paul, Rhys A.; Chen, Michael J.; Horsley, David E.
2015
A two-dimensional model for large-scale bushfire spread. Zbl 0902.92024
Forbes, Lawrence K.
1997
Forced transverse oscillations in a simple spring-mass system. Zbl 0743.70022
Forbes, Lawrence K.
1991
A numerical method for nonlinear flow about a submerged hydrofoil. Zbl 0584.76015
Forbes, L. K.
1985
On the evolution of shock-waves in mathematical models of the aorta. Zbl 0468.76128
Forbes, L. K.
1981
Sloshing of an ideal fluid in a horizontally forced rectangular tank. Zbl 1273.76057
Forbes, Lawrence K.
2010
A line vortex in a two-fluid system. Zbl 1367.76014
Forbes, Lawrence K.; Cosgrove, Jason M.
2014
Steady periodic waves in a three-layer fluid with shear in the middle layer. Zbl 1159.76312
Chen, Michael J.; Forbes, Lawrence K.
2008
Withdrawal from a fluid of finite depth through a line sink, including surface-tension effects. Zbl 0977.76011
Hocking, G. C.; Forbes, L. K.
2000
Unsteady plumes in planar flow of viscous and inviscid fluids. Zbl 1319.76012
Forbes, Lawrence K.; Hocking, Graeme C.
2013
Steady free surface flows induced by a submerged ring source or sink. Zbl 1250.76025
Stokes, T. E.; Hocking, G. C.; Forbes, L. K.
2012
The lens of freshwater in a tropical island– 2D withdrawal. Zbl 1035.76050
Hocking, G. C.; Forbes, L. K.
2004
The design of a full-scale industrial mineral leaching process. Zbl 1076.86504
Forbes, Lawrence K.
2001
Fully 3D Rayleigh-Taylor instability in a Boussinesq fluid. Zbl 1422.76066
Walters, S. J.; Forbes, L. K.
2019
On stability and uniqueness of stationary one-dimensional patterns in the Belousov-Zhabotinsky reaction. Zbl 0739.65102
Forbes, Lawrence K.
1991
The effect of surface tension on free-surface flow induced by a point sink. Zbl 1408.76114
Hocking, G. C.; Nguyen, H. H. N.; Forbes, L. K.; Stokes, T. E.
2016
Limit-cycle behaviour in a model chemical reaction: The cubic autocatalator. Zbl 0719.34047
Forbes, L. K.; Holmes, C. A.
1990
Forced oscillations in an exothermic chemical reaction. Zbl 0822.34034
Forbes, Lawrence K.; Gray, Brian F.
1994
Computing large-amplitude progressive Rossby waves on a sphere. Zbl 1151.76409
Callaghan, T. G.; Forbes, L. K.
2006
Optimal fluid injection strategies for in situ mineral leaching in two dimensions. Zbl 0953.76085
Forbes, Lawrence K.; McCue, Scott W.
1999
Exact solutions for interfacial outflows with straining. Zbl 1300.76009
Forbes, Lawrence K.; Brideson, Michael A.
2014
A spectral method for Faraday waves in rectangular tanks. Zbl 1294.76203
Horsley, David E.; Forbes, Lawrence K.
2013
On turbulence modelling and the transition from laminar to turbulent flow. Zbl 1302.76071
Forbes, Lawrence K.
2014
An exothermic chemical reaction with linear feedback control. Zbl 0864.92018
Sexton, M. J.; Forbes, L. K.
1996
A study of the dynamics of a continuously stirred tank reactor with feedback control of the temperature. Zbl 0876.34045
Sexton, M. J.; Forbes, L. K.; Gray, B. F.
1997
Analysis of chemical kinetic systems over the entire parameter space. IV: The Sal’nikov oscillator with two temperature-dependent reaction rates. Zbl 0818.92029
Gray, B. F.; Forbes, L. K.
1994
Travelling waves and oscillations in Sal’nikov’s combustion reaction in a compressible gas. Zbl 1312.76056
Paul, Rhys A.; Forbes, Lawrence K.
2015
Non-linear free-surface flows about blunt bodies. Zbl 0461.76009
Forbes, Lawrence K.
1982
A note on the flow of a homogeneous intrusion into a two-layer fluid. Zbl 1121.76016
Hocking, G. C.; Forbes, L. K.
2007
On starting conditions for a submerged sink in a fluid. Zbl 1138.76021
Forbes, Lawrence K.; Hocking, Graeme C.; Stokes, Tim E.
2008
A series analysis of forced transverse oscillations in a spring-mass system. Zbl 0684.34040
Forbes, Lawrence K.
1989
Stationary patterns of chemical concentration in the Belousov- Zhabotinskij reaction. Zbl 0701.35087
Forbes, Lawrence K.
1990
Flow fields associated with in situ mineral leaching. Zbl 0828.76080
Forbes, Lawrence K.; Watts, Anthony M.; Chandler, Graeme A.
1994
Progress toward a mining strategy based on mineral leaching with secondary recovery. Zbl 0854.76090
Forbes, Lawrence K.
1996
Atmospheric interfacial waves in the presence of two moving fluid layers. Zbl 0842.76013
Forbes, Lawrence K.; Belward, Shaun R.
1994
Thermal solitons: travelling waves in combustion. Zbl 1371.80031
Forbes, Lawrence K.
2013
Planar Rayleigh-Taylor instabilities: outflows from a binary line-source system. Zbl 1359.76118
Forbes, Lawrence K.
2014
A rational approximation to the evolution of a free surface during fluid withdrawal through a point sink. Zbl 1333.76035
Hocking, Graeme Charles; Stokes, Timothy E.; Forbes, Lawrence K.
2010
An analysis of two- and three-dimensional unsteady withdrawal flows, using shallow water theory. Zbl 0948.76010
Koerber, A. J.; Forbes, L. K.
2000
Atmospheric solitary waves: Some applications to the morning glory of the Gulf of Carpentaria. Zbl 0880.76014
Forbes, Lawrence K.; Belward, Shaun R.
1996
Burning down the house: The time to ignition of an irradiated solid. Zbl 0915.65129
Forbes, Lawrence K.; Gray, Brian F.
1998
An analytical and numerical study of the forced vibration of a spherically cavity. Zbl 0925.76154
Forbes, L. K.
1994
Dynamical systems analysis of a model describing Tasmanian devil facial tumour-disease. Zbl 1264.92034
Beeton, N. J.; Forbes, L. K.
2012
Waves in two-layer shear flow for viscous and inviscid fluids. Zbl 1258.76075
Chen, Michael J.; Forbes, Lawrence K.
2011
Selective withdrawal of a two-layer viscous fluid. Zbl 1379.76014
Cosgrove, Jason M.; Forbes, Lawrence K.
2012
A note on oscillations in a simple model of a chemical reaction. Zbl 0854.34040
Sexton, M. Jane; Forbes, Lawrence K.
1996
Large amplitude axisymmetric capillary waves. Zbl 1187.76636
Osborne, Tobias; Forbes, Lawrence K.
2001
Interfacial behaviour in two-fluid Taylor-Couette flow. Zbl 1448.76086
Forbes, L. K.; Bassom, Andrew P.
2018
Ideal planar fluid flow over a submerged obstacle: review and extension. Zbl 07455957
Forbes, Lawrence K.; Walters, Stephen J.; Hocking, Graeme C.
2021
Analytic and numerical solutions to the seismic wave equation in continuous media. Zbl 1472.86012
Walters, S. J.; Forbes, L. K.; Reading, A. M.
2020
Fully 3D Rayleigh-Taylor instability in a Boussinesq fluid. Zbl 1422.76066
Walters, S. J.; Forbes, L. K.
2019
A model for the treatment of environmentally transmitted sarcoptic mange in bare-nosed wombats (Vombatus ursinus). Zbl 1406.92349
Beeton, Nicholas J.; Carver, Scott; Forbes, Lawrence K.
2019
Interfacial behaviour in two-fluid Taylor-Couette flow. Zbl 1448.76086
Forbes, L. K.; Bassom, Andrew P.
2018
The initiation of a planar fluid plume beneath a rigid lid. Zbl 1469.76039
Russell, Patrick S.; Forbes, Lawrence K.; Hocking, Graeme C.
2017
Compressibility effects on outflows in a two-fluid system. I: Line source in cylindrical geometry. Zbl 1388.76330
Krzysik, Oliver A.; Forbes, Lawrence K.
2017
The effect of surface tension on free surface flow induced by a point sink in a fluid of finite depth. Zbl 1390.76045
Hocking, G. C.; Nguyen, H. H. N.; Stokes, T. E.; Forbes, L. K.
2017
On modelling the transition to turbulence in pipe flow. Zbl 1373.76052
Forbes, Lawrence K.; Brideson, Michael A.
2017
Unsteady flows induced by a point source or sink in a fluid of finite depth. Zbl 1386.76027
Stokes, T. E.; Hocking, G. C.; Forbes, L. K.
2017
Nonlinear behaviour of interacting mid-latitude atmospheric vortices. Zbl 1369.86003
Cosgrove, Jason M.; Forbes, Lawrence K.
2017
The effect of surface tension on free-surface flow induced by a point sink. Zbl 1408.76114
Hocking, G. C.; Nguyen, H. H. N.; Forbes, L. K.; Stokes, T. E.
2016
The formation of large-amplitude fingers in atmospheric vortices. Zbl 1428.86013
Cosgrove, Jason M.; Forbes, Lawrence K.
2016
Combustion waves in Sal’nikov’s reaction scheme in a spherically symmetric gas. Zbl 1360.80012
Paul, Rhys A.; Forbes, Lawrence K.
2016
Kelvin-Helmholtz creeping flow at the interface between two viscous fluids. Zbl 1327.76064
Forbes, Lawrence K.; Paul, Rhys A.; Chen, Michael J.; Horsley, David E.
2015
Travelling waves and oscillations in Sal’nikov’s combustion reaction in a compressible gas. Zbl 1312.76056
Paul, Rhys A.; Forbes, Lawrence K.
2015
Transition to turbulence from plane Couette flow. Zbl 1331.76052
Forbes, L. K.
2015
How strain and spin may make a star bi-polar. Zbl 1309.85004
Forbes, Lawrence K.
2014
A note on steady flow into a submerged point sink. Zbl 1306.76005
Hocking, G. C.; Forbes, L. K.; Stokes, T. E.
2014
A line vortex in a two-fluid system. Zbl 1367.76014
Forbes, Lawrence K.; Cosgrove, Jason M.
2014
Exact solutions for interfacial outflows with straining. Zbl 1300.76009
Forbes, Lawrence K.; Brideson, Michael A.
2014
On turbulence modelling and the transition from laminar to turbulent flow. Zbl 1302.76071
Forbes, Lawrence K.
2014
Planar Rayleigh-Taylor instabilities: outflows from a binary line-source system. Zbl 1359.76118
Forbes, Lawrence K.
2014
Waveless subcritical flow past symmetric bottom topography. Zbl 1267.76011
Holmes, R. J.; Hocking, G. C.; Forbes, L. K.; Baillard, N. Y.
2013
A note on waveless subcritical flow past a submerged semi-ellipse. Zbl 1359.76060
Hocking, G. C.; Holmes, R. J.; Forbes, L. K.
2013
Unsteady plumes in planar flow of viscous and inviscid fluids. Zbl 1319.76012
Forbes, Lawrence K.; Hocking, Graeme C.
2013
A spectral method for Faraday waves in rectangular tanks. Zbl 1294.76203
Horsley, David E.; Forbes, Lawrence K.
2013
Thermal solitons: travelling waves in combustion. Zbl 1371.80031
Forbes, Lawrence K.
2013
Inviscid and viscous models of axisymmetric fluid jets or plumes. Zbl 1254.76074
Letchford, Nicholas A.; Forbes, Lawrence K.; Hocking, Graeme C.
2012
Steady free surface flows induced by a submerged ring source or sink. Zbl 1250.76025
Stokes, T. E.; Hocking, G. C.; Forbes, L. K.
2012
Dynamical systems analysis of a model describing Tasmanian devil facial tumour-disease. Zbl 1264.92034
Beeton, N. J.; Forbes, L. K.
2012
Selective withdrawal of a two-layer viscous fluid. Zbl 1379.76014
Cosgrove, Jason M.; Forbes, Lawrence K.
2012
A cylindrical Rayleigh-Taylor instability: radial outflow from pipes or stars. Zbl 1254.76084
Forbes, Lawrence K.
2011
Accurate methods for computing inviscid and viscous Kelvin-Helmholtz instability. Zbl 1391.76147
Chen, Michael J.; Forbes, Lawrence K.
2011
Rayleigh-Taylor instabilities in axi-symmetric outflow from a point source. Zbl 1247.76032
Forbes, Lawrence K.
2011
Waves in two-layer shear flow for viscous and inviscid fluids. Zbl 1258.76075
Chen, Michael J.; Forbes, Lawrence K.
2011
Steady flow of a buoyant plume into a constant-density layer. Zbl 1310.76176
Hocking, G. C.; Forbes, L. K.
2010
Sloshing of an ideal fluid in a horizontally forced rectangular tank. Zbl 1273.76057
Forbes, Lawrence K.
2010
A rational approximation to the evolution of a free surface during fluid withdrawal through a point sink. Zbl 1333.76035
Hocking, Graeme Charles; Stokes, Timothy E.; Forbes, Lawrence K.
2010
Unsteady draining of a fluid from a circular tank. Zbl 1201.76037
Forbes, Lawrence K.; Hocking, Graeme C.
2010
The Rayleigh-Taylor instability for inviscid and viscous fluids. Zbl 1180.76023
Forbes, Lawrence K.
2009
Dynamical systems analysis of a five-dimensional trophic food web model in the southern oceans. Zbl 1196.37125
Hadley, Scott A.; Forbes, Lawrence K.
2009
Unsteady free surface flow induced by a line sink in a fluid of finite depth. Zbl 1237.76132
Stokes, T. E.; Hocking, G. C.; Forbes, L. K.
2008
Steady periodic waves in a three-layer fluid with shear in the middle layer. Zbl 1159.76312
Chen, Michael J.; Forbes, Lawrence K.
2008
On starting conditions for a submerged sink in a fluid. Zbl 1138.76021
Forbes, Lawrence K.; Hocking, Graeme C.; Stokes, Tim E.
2008
Computing unstable periodic waves at the interface of two inviscid fluids in uniform vertical flow. Zbl 1123.76012
Forbes, Lawrence K.; Chen, Michael J.; Trenham, Claire E.
2007
Unsteady draining flows from a rectangular tank. Zbl 1182.76252
Forbes, Lawrence K.; Hocking, Graeme C.
2007
A note on the flow of a homogeneous intrusion into a two-layer fluid. Zbl 1121.76016
Hocking, G. C.; Forbes, L. K.
2007
Calculating the movement of MRI coils, and minimizing their noise. Zbl 1347.92038
Forbes, L. K.; Brideson, M. A.; Crozier, S.; While, P. T.
2007
An intrusion layer in stationary incompressible fluids. II: A solitary wave. Zbl 1124.76004
Forbes, Lawrence K.; Hocking, Graeme C.
2006
An intrusion layer in stationary incompressible fluids. I: Periodic waves. Zbl 1123.76007
Forbes, Lawrence K.; Hocking, Graeme C.; Farrow, Duncan E.
2006
Computing large-amplitude progressive Rossby waves on a sphere. Zbl 1151.76409
Callaghan, T. G.; Forbes, L. K.
2006
Unsteady flow induced by a withdrawal point beneath a free surface. Zbl 1123.76321
Stokes, T. E.; Hocking, G. C.; Forbes, L. K.
2005
Flow due to a sink near a vertical wall, in infinitely deep fluid. Zbl 1134.76318
Forbes, Lawrence K.; Hocking, Graeme C.
2005
Salt-water up-coning during extraction of fresh water from a tropical island. Zbl 1046.76050
Forbes, Lawrence K.; Hocking, Graeme C.; Wotherspoon, Simon
2004
The lens of freshwater in a tropical island– 2D withdrawal. Zbl 1035.76050
Hocking, G. C.; Forbes, L. K.
2004
Unsteady free-surface flow induced by a line sink. Zbl 1038.76510
Stokes, T. E.; Hocking, G. C.; Forbes, L. K.
2003
On the computation of steady axisymmetric withdrawal from a two-layer fluid. Zbl 1013.76019
Forbes, Lawrence K.; Hocking, Graeme C.
2003
Free-surface flows emerging from beneath a semi-infinite plate with constant vorticity. Zbl 1003.76008
McCue, Scott W.; Forbes, Lawrence K.
2002
A note on withdrawal from a fluid of finite depth through a point sink. Zbl 1018.76007
Hocking, G. C.; Vanden-Broeck, J.-M.; Forbes, L. K.
2002
Super-critical withdrawal from a two-layer fluid through a line sink if the lower layer is of finite depth. Zbl 0973.76020
Hocking, G. C.; Forbes, L. K.
2001
A combustion wave of permanent form in a compressible gas. Zbl 1065.80505
Forbes, Lawrence K.; Derrick, William
2001
The design of a full-scale industrial mineral leaching process. Zbl 1076.86504
Forbes, Lawrence K.
2001
Large amplitude axisymmetric capillary waves. Zbl 1187.76636
Osborne, Tobias; Forbes, Lawrence K.
2001
Withdrawal from a fluid of finite depth through a line sink, including surface-tension effects. Zbl 0977.76011
Hocking, G. C.; Forbes, L. K.
2000
An analysis of two- and three-dimensional unsteady withdrawal flows, using shallow water theory. Zbl 0948.76010
Koerber, A. J.; Forbes, L. K.
2000
Bow and stern flows with constant vorticity. Zbl 0958.76010
McCue, Scott W.; Forbes, Lawrence K.
1999
Optimal fluid injection strategies for in situ mineral leaching in two dimensions. Zbl 0953.76085
Forbes, Lawrence K.; McCue, Scott W.
1999
Withdrawal from a two-layer inviscid fluid in a duct. Zbl 0916.76093
Forbes, Lawrence K.; Hocking, Graeme C.
1998
Burning down the house: The time to ignition of an irradiated solid. Zbl 0915.65129
Forbes, Lawrence K.; Gray, Brian F.
1998
Two-dimensional steady free surface flow into a semi-infinite mat sink. Zbl 1185.76458
Koerber, A. J.; Forbes, L. K.
1998
Caluculating current densities and fields produced by shielded magnetic resonance imaging probes. Zbl 0871.65116
Forbes, Lawrence K.; Crozier, Stuart; Doddrell, David M.
1997
A two-dimensional model for large-scale bushfire spread. Zbl 0902.92024
Forbes, Lawrence K.
1997
A study of the dynamics of a continuously stirred tank reactor with feedback control of the temperature. Zbl 0876.34045
Sexton, M. J.; Forbes, L. K.; Gray, B. F.
1997
A note on withdrawal through point sink in fluid of finite depth. Zbl 0854.76007
Forbes, Lawrence K.; Hocking, Graeme C.; Chandler, Graeme A.
1996
An exothermic chemical reaction with linear feedback control. Zbl 0864.92018
Sexton, M. J.; Forbes, L. K.
1996
Progress toward a mining strategy based on mineral leaching with secondary recovery. Zbl 0854.76090
Forbes, Lawrence K.
1996
Atmospheric solitary waves: Some applications to the morning glory of the Gulf of Carpentaria. Zbl 0880.76014
Forbes, Lawrence K.; Belward, Shaun R.
1996
A note on oscillations in a simple model of a chemical reaction. Zbl 0854.34040
Sexton, M. Jane; Forbes, Lawrence K.
1996
The bath-plug vortex. Zbl 0846.76013
Forbes, Lawrence K.; Hocking, Graeme C.
1995
Interfacial waves and hydraulic falls: Some applications to atmospheric flows in the lee of mountains. Zbl 0823.76014
Belward, Shaun R.; Forbes, Lawrence K.
1995
Analysis of the unified thermal and chain branching model of hydrocarbon oxidation. Zbl 0833.92027
Sidhu, H. S.; Forbes, L. K.; Gray, B. F.
1995
Forced oscillations in an exothermic chemical reaction. Zbl 0822.34034
Forbes, Lawrence K.; Gray, Brian F.
1994
Analysis of chemical kinetic systems over the entire parameter space. IV: The Sal’nikov oscillator with two temperature-dependent reaction rates. Zbl 0818.92029
Gray, B. F.; Forbes, L. K.
1994
Flow fields associated with in situ mineral leaching. Zbl 0828.76080
Forbes, Lawrence K.; Watts, Anthony M.; Chandler, Graeme A.
1994
Atmospheric interfacial waves in the presence of two moving fluid layers. Zbl 0842.76013
Forbes, Lawrence K.; Belward, Shaun R.
1994
An analytical and numerical study of the forced vibration of a spherically cavity. Zbl 0925.76154
Forbes, L. K.
1994
Flow induced by a line sink in a quiescent fluid with surface-tension effects. Zbl 0771.76012
Forbes, Lawrence K.; Hocking, Graeme C.
1993
Fully non-linear two-layer flow over arbitrary topography. Zbl 0793.76106
Belward, S. R.; Forbes, L. K.
1993
One-dimensional pattern formation in a model of burning. Zbl 0797.35084
Forbes, Lawrence K.
1993
Subcritical free-surface flow caused by a line source in a fluid of finite depth. Zbl 0763.76011
Hocking, G. C.; Forbes, L. K.
1992
Atmospheric interfacial waves. Zbl 0825.76126
Forbes, Lawrence K.; Belward, Shaun R.
1992
A note on the flow induced by a line sink beneath a free surface. Zbl 0716.76016
Hocking, G. C.; Forbes, L. K.
1991
On the presence of limit-cycles in a model exothermic chemical reaction: Sal’nikov’s oscillator with two temperature-dependent reaction rates. Zbl 0729.34502
Forbes, Lawrence K.; Myerscough, Mary R.; Gray, Brian F.
1991
Forced transverse oscillations in a simple spring-mass system. Zbl 0743.70022
Forbes, Lawrence K.
1991
On stability and uniqueness of stationary one-dimensional patterns in the Belousov-Zhabotinsky reaction. Zbl 0739.65102
Forbes, Lawrence K.
1991
Flow caused by a point sink in a fluid having a free surface. Zbl 0708.76032
Forbes, Lawrence K.; Hocking, Graeme C.
1990
Limit-cycle behaviour in a model chemical reaction: The Sal’nikov thermokinetic oscillator. Zbl 0729.92033
Forbes, Lawrence K.
1990
Limit-cycle behaviour in a model chemical reaction: The cubic autocatalator. Zbl 0719.34047
Forbes, L. K.; Holmes, C. A.
1990
Stationary patterns of chemical concentration in the Belousov- Zhabotinskij reaction. Zbl 0701.35087
Forbes, Lawrence K.
1990
...and 18 more Documents
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### Cited by 357 Authors

 84 Forbes, Lawrence K. 40 Hocking, Graeme Charles 40 Vanden-Broeck, Jean-Marc 16 Părău, Emilian I. 10 Il’ichev, Andreĭ Teĭmurazovich 9 Abd-el-Malek, Mina B. 8 Belward, Shaun R. 8 Dias, Frédéric 8 Milewski, Paul A. 8 Stokes, Timothy E. 7 McCue, Scott William 7 Trinh, Philippe H. 7 Walters, Stephen J. 6 Arqub, Omar Abu 6 Chapman, Stephen Jonathan 6 Cooker, Mark J. 6 Shen, Samuel Shan-Pu 5 Allahyari, Reza 5 Binder, Benjamin James 5 Cosgrove, Jason M. 5 Hanna, Sarwat N. 5 Ingham, Derek Binns 5 Lustri, Christopher J. 5 Pethiyagoda, Ravindra 5 Wang, Zhan 4 Al-Smadi, Mohammed H. 4 Chen, Michael J. 4 Gao, Tao 4 Gray, Brian F. 4 Holmes, R. J. 4 Manik, K. 4 Masoud, S. Z. 4 Momani, Shaher M. 4 Moroney, Timothy J. 4 Paul, Rhys A. 4 Tyvand, Peder A. 3 Arab, Reza 3 Elliott, Lionel 3 Farrow, Duncan E. 3 Forbes, Larry K. 3 Ibragimov, Ranis N. 3 Kiliçman, Adem 3 Kim, Hongjoong 3 Lonyangapuo, J. K. 3 Sexton, M. Jane 3 Shole Haghighi, Ali 3 Sidhu, Harvinder Singh 3 Trichtchenko, Olga 2 Abdel-Gawad, Hamdy Ibrahim 2 Abou-Dina, Moustafa S. 2 Boutros, Youssef Zaki 2 Brevdo, Leonid 2 Brideson, Michael A. 2 Bridges, Thomas J. 2 Caflisch, Russel E. 2 Carver, Scott 2 Choi, Heesun 2 Derrick, William R. 2 Erfanian, Majid 2 Gargano, Francesco 2 Grandison, Scott 2 Guyenne, Philippe 2 Haugen, Kjetil B. 2 Higgins, Patrick J. 2 Horsley, David E. 2 Hunt, M. J. 2 Kazemi Nasab, A. 2 Kim, Junseok 2 Kroot, J. M. B. 2 Krzysik, Oliver A. 2 Lee, Hyun Geun 2 Liang, Hui 2 Maklakov, Dmitri V. 2 Mandal, Birendra Nath 2 Miloh, Touvia 2 Nelson, Mark Ian 2 Nguyen, H. H. N. 2 Omar, Hanan Abdulmotalab M. 2 Pashazadeh Atabakan, Z. 2 Peregrine, D. Howell 2 Petrov, Aleksandr Georgievich 2 Pierotti, Dario 2 Read, Wayne W. 2 Reading, Anya M. 2 Sahoo, Trilochan 2 Sammartino, Marco Maria Luigi 2 Sciacca, Michele 2 Sciacca, Vincenzo 2 Sha, Huyun 2 Shraida, Shaymaa M. 2 Simpson, Matthew J. 2 Teniou, D. 2 Titri-Bouadjenak, C. 2 Van de Ven, Alphons Adrianus Francisca 2 van Eijndhoven, Stephanus Jacobus Louis 2 Wang, Yongyan 2 Zhang, Yinglong 2 Zhao, Min 2 Zhu, Songping 1 Abdel-Malek, M. N. ...and 257 more Authors
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### Cited in 79 Serials

 60 Journal of Engineering Mathematics 52 Journal of Fluid Mechanics 29 The ANZIAM Journal 20 Physics of Fluids 13 Applied Mathematical Modelling 11 Computers and Fluids 11 European Journal of Mechanics. B. Fluids 7 Applied Mathematics and Computation 7 Journal of Computational and Applied Mathematics 7 European Journal of Applied Mathematics 6 Journal of Computational Physics 6 Engineering Analysis with Boundary Elements 6 Journal of Applied Mathematics 5 Acta Mechanica 5 Fluid Dynamics 5 Wave Motion 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Physics of Fluids, A 4 Theoretical and Mathematical Physics 4 Journal of Mathematical Chemistry 3 Bulletin of the Australian Mathematical Society 3 International Journal for Numerical Methods in Fluids 3 Mathematics and Computers in Simulation 3 Physica D 3 Mathematical and Computer Modelling 3 Dynamics and Stability of Systems 3 Mathematical Problems in Engineering 3 Abstract and Applied Analysis 3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Advances in Mathematical Physics 2 Studies in Applied Mathematics 2 European Journal of Mechanics. A. Solids 2 Journal of Fixed Point Theory and Applications 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Heat and Mass Transfer 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Physics Letters. A 1 Physics Reports 1 Theoretical and Computational Fluid Dynamics 1 Chaos, Solitons and Fractals 1 Journal of Differential Equations 1 Kybernetes 1 Mathematika 1 Publications de l’Institut Mathématique. Nouvelle Série 1 International Journal of Computer Mathematics 1 Journal of Elasticity 1 Annales Mathématiques Blaise Pascal 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Journal of Shanghai University 1 Chaos 1 Revista Matemática Complutense 1 Discrete Dynamics in Nature and Society 1 Computational Geosciences 1 Combustion Theory and Modelling 1 Qualitative Theory of Dynamical Systems 1 International Journal of Modern Physics C 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Portugaliae Mathematica. Nova Série 1 Iranian Journal of Science and Technology. Transaction A: Science 1 Advances in Difference Equations 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Journal of Ocean University of China. Oceanic and Coastal Sea Research 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Biological Dynamics 1 Discrete and Continuous Dynamical Systems. Series S 1 Asian-European Journal of Mathematics 1 Advances in Numerical Analysis 1 Analysis and Mathematical Physics 1 S$$\vec{\text{e}}$$MA Journal 1 Journal of Theoretical Biology 1 Mathematical Sciences 1 East Asian Journal on Applied Mathematics 1 Bollettino dell’Unione Matematica Italiana 1 AIMS Mathematics
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### Cited in 24 Fields

 284 Fluid mechanics (76-XX) 59 Partial differential equations (35-XX) 44 Geophysics (86-XX) 31 Numerical analysis (65-XX) 30 Mechanics of deformable solids (74-XX) 23 Integral equations (45-XX) 23 Biology and other natural sciences (92-XX) 18 Classical thermodynamics, heat transfer (80-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Ordinary differential equations (34-XX) 9 Operator theory (47-XX) 5 Optics, electromagnetic theory (78-XX) 4 Functions of a complex variable (30-XX) 4 Systems theory; control (93-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)