Edit Profile (opens in new tab) Forbes, Lawrence K. Compute Distance To: Compute 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 all top 5 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. all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0517.76020Forbes, Lawrence K.; Schwartz, Leonard W. 73 1982 Critical free-surfaces flow over a semi-circular obstruction. Zbl 0638.76008Forbes, L. K. 40 1988 Surface waves of large amplitude beneath an elastic sheet. I. High-order series solution. Zbl 0607.76015Forbes, Lawrence K. 34 1986 Surface waves of large amplitude beneath an elastic sheet. II. Galerkin solution. Zbl 0643.76013Forbes, Lawrence K. 30 1988 Caluculating current densities and fields produced by shielded magnetic resonance imaging probes. Zbl 0871.65116Forbes, Lawrence K.; Crozier, Stuart; Doddrell, David M. 27 1997 The Rayleigh-Taylor instability for inviscid and viscous fluids. Zbl 1180.76023Forbes, Lawrence K. 25 2009 An algorithm for 3-dimensional free-surface problems in hydrodynamics. Zbl 0667.76028Forbes, Lawrence K. 21 1989 Flow caused by a point sink in a fluid having a free surface. Zbl 0708.76032Forbes, Lawrence K.; Hocking, Graeme C. 21 1990 On the wave resistance of a submerged semi-elliptical body. Zbl 0477.76018Forbes, L. K. 20 1981 On the effects of nonlinearity in free-surface flow about a submerged point vortex. Zbl 0585.76035Forbes, L. K. 20 1985 Computing unstable periodic waves at the interface of two inviscid fluids in uniform vertical flow. Zbl 1123.76012Forbes, Lawrence K.; Chen, Michael J.; Trenham, Claire E. 20 2007 Unsteady free-surface flow induced by a line sink. Zbl 1038.76510Stokes, T. E.; Hocking, G. C.; Forbes, L. K. 19 2003 A note on the flow induced by a line sink beneath a free surface. Zbl 0716.76016Hocking, G. C.; Forbes, L. K. 19 1991 A cylindrical Rayleigh-Taylor instability: radial outflow from pipes or stars. Zbl 1254.76084Forbes, Lawrence K. 16 2011 Nonlinear, drag-free flow over a submerged semi-elliptical body. Zbl 0491.76025Forbes, L. K. 15 1982 Subcritical free-surface flow caused by a line source in a fluid of finite depth. Zbl 0763.76011Hocking, G. C.; Forbes, L. K. 15 1992 Super-critical withdrawal from a two-layer fluid through a line sink if the lower layer is of finite depth. Zbl 0973.76020Hocking, G. C.; Forbes, L. K. 14 2001 Free-surface flow over a semicircular obstruction, including the influence of gravity and surface tension. Zbl 0524.76021Forbes, Lawrence K. 14 1983 Flow induced by a line sink in a quiescent fluid with surface-tension effects. Zbl 0771.76012Forbes, Lawrence K.; Hocking, Graeme C. 14 1993 Two-layer critical flow over a semi-circular obstruction. Zbl 0707.76100Forbes, L. K. 14 1989 Unsteady flow induced by a withdrawal point beneath a free surface. Zbl 1123.76321Stokes, T. E.; Hocking, G. C.; Forbes, L. K. 13 2005 Fully non-linear two-layer flow over arbitrary topography. Zbl 0793.76106Belward, S. R.; Forbes, L. K. 11 1993 The bath-plug vortex. Zbl 0846.76013Forbes, Lawrence K.; Hocking, Graeme C. 11 1995 Accurate methods for computing inviscid and viscous Kelvin-Helmholtz instability. Zbl 1391.76147Chen, Michael J.; Forbes, Lawrence K. 11 2011 Rayleigh-Taylor instabilities in axi-symmetric outflow from a point source. Zbl 1247.76032Forbes, Lawrence K. 10 2011 On the computation of steady axisymmetric withdrawal from a two-layer fluid. Zbl 1013.76019Forbes, Lawrence K.; Hocking, Graeme C. 10 2003 Free-surface flows emerging from beneath a semi-infinite plate with constant vorticity. Zbl 1003.76008McCue, Scott W.; Forbes, Lawrence K. 9 2002 Unsteady draining flows from a rectangular tank. Zbl 1182.76252Forbes, Lawrence K.; Hocking, Graeme C. 9 2007 Bow and stern flows with constant vorticity. Zbl 0958.76010McCue, Scott W.; Forbes, Lawrence K. 8 1999 A note on withdrawal from a fluid of finite depth through a point sink. Zbl 1018.76007Hocking, G. C.; Vanden-Broeck, J.-M.; Forbes, L. K. 8 2002 Waveless subcritical flow past symmetric bottom topography. Zbl 1267.76011Holmes, R. J.; Hocking, G. C.; Forbes, L. K.; Baillard, N. Y. 7 2013 Unsteady free surface flow induced by a line sink in a fluid of finite depth. Zbl 1237.76132Stokes, T. E.; Hocking, G. C.; Forbes, L. K. 7 2008 Limit-cycle behaviour in a model chemical reaction: The Sal’nikov thermokinetic oscillator. Zbl 0729.92033Forbes, Lawrence K. 7 1990 Interfacial waves and hydraulic falls: Some applications to atmospheric flows in the lee of mountains. Zbl 0823.76014Belward, Shaun R.; Forbes, Lawrence K. 7 1995 A note on waveless subcritical flow past a submerged semi-ellipse. Zbl 1359.76060Hocking, G. C.; Holmes, R. J.; Forbes, L. K. 7 2013 Steady flow of a buoyant plume into a constant-density layer. Zbl 1310.76176Hocking, G. C.; Forbes, L. K. 7 2010 Salt-water up-coning during extraction of fresh water from a tropical island. Zbl 1046.76050Forbes, Lawrence K.; Hocking, Graeme C.; Wotherspoon, Simon 6 2004 How strain and spin may make a star bi-polar. Zbl 1309.85004Forbes, Lawrence K. 6 2014 A note on withdrawal through point sink in fluid of finite depth. Zbl 0854.76007Forbes, Lawrence K.; Hocking, Graeme C.; Chandler, Graeme A. 6 1996 Irregular frequencies and iterative methods in the solution of steady surface-wave problems in hydrodynamics. Zbl 0569.76020Forbes, L. K. 6 1984 Atmospheric interfacial waves. Zbl 0825.76126Forbes, Lawrence K.; Belward, Shaun R. 6 1992 An intrusion layer in stationary incompressible fluids. II: A solitary wave. Zbl 1124.76004Forbes, Lawrence K.; Hocking, Graeme C. 6 2006 Withdrawal from a two-layer inviscid fluid in a duct. Zbl 0916.76093Forbes, Lawrence K.; Hocking, Graeme C. 5 1998 Inviscid and viscous models of axisymmetric fluid jets or plumes. Zbl 1254.76074Letchford, Nicholas A.; Forbes, Lawrence K.; Hocking, Graeme C. 5 2012 A note on steady flow into a submerged point sink. Zbl 1306.76005Hocking, G. C.; Forbes, L. K.; Stokes, T. E. 5 2014 The initiation of a planar fluid plume beneath a rigid lid. Zbl 1469.76039Russell, Patrick S.; Forbes, Lawrence K.; Hocking, Graeme C. 5 2017 A combustion wave of permanent form in a compressible gas. Zbl 1065.80505Forbes, Lawrence K.; Derrick, William 5 2001 On the presence of limit-cycles in a model exothermic chemical reaction: Sal’nikov’s oscillator with two temperature-dependent reaction rates. Zbl 0729.34502Forbes, Lawrence K.; Myerscough, Mary R.; Gray, Brian F. 5 1991 Dynamical systems analysis of a five-dimensional trophic food web model in the southern oceans. Zbl 1196.37125Hadley, Scott A.; Forbes, Lawrence K. 5 2009 An intrusion layer in stationary incompressible fluids. I: Periodic waves. Zbl 1123.76007Forbes, Lawrence K.; Hocking, Graeme C.; Farrow, Duncan E. 5 2006 One-dimensional pattern formation in a model of burning. Zbl 0797.35084Forbes, Lawrence K. 5 1993 Flow due to a sink near a vertical wall, in infinitely deep fluid. Zbl 1134.76318Forbes, Lawrence K.; Hocking, Graeme C. 5 2005 Kelvin-Helmholtz creeping flow at the interface between two viscous fluids. Zbl 1327.76064Forbes, Lawrence K.; Paul, Rhys A.; Chen, Michael J.; Horsley, David E. 5 2015 A two-dimensional model for large-scale bushfire spread. Zbl 0902.92024Forbes, Lawrence K. 4 1997 Forced transverse oscillations in a simple spring-mass system. Zbl 0743.70022Forbes, Lawrence K. 4 1991 A numerical method for nonlinear flow about a submerged hydrofoil. Zbl 0584.76015Forbes, L. K. 4 1985 On the evolution of shock-waves in mathematical models of the aorta. Zbl 0468.76128Forbes, L. K. 4 1981 Sloshing of an ideal fluid in a horizontally forced rectangular tank. Zbl 1273.76057Forbes, Lawrence K. 4 2010 A line vortex in a two-fluid system. Zbl 1367.76014Forbes, Lawrence K.; Cosgrove, Jason M. 4 2014 Steady periodic waves in a three-layer fluid with shear in the middle layer. Zbl 1159.76312Chen, Michael J.; Forbes, Lawrence K. 4 2008 Withdrawal from a fluid of finite depth through a line sink, including surface-tension effects. Zbl 0977.76011Hocking, G. C.; Forbes, L. K. 3 2000 Unsteady plumes in planar flow of viscous and inviscid fluids. Zbl 1319.76012Forbes, Lawrence K.; Hocking, Graeme C. 3 2013 Steady free surface flows induced by a submerged ring source or sink. Zbl 1250.76025Stokes, T. E.; Hocking, G. C.; Forbes, L. K. 3 2012 The lens of freshwater in a tropical island– 2D withdrawal. Zbl 1035.76050Hocking, G. C.; Forbes, L. K. 3 2004 The design of a full-scale industrial mineral leaching process. Zbl 1076.86504Forbes, Lawrence K. 3 2001 Fully 3D Rayleigh-Taylor instability in a Boussinesq fluid. Zbl 1422.76066Walters, S. J.; Forbes, L. K. 3 2019 On stability and uniqueness of stationary one-dimensional patterns in the Belousov-Zhabotinsky reaction. Zbl 0739.65102Forbes, Lawrence K. 3 1991 The effect of surface tension on free-surface flow induced by a point sink. Zbl 1408.76114Hocking, G. C.; Nguyen, H. H. N.; Forbes, L. K.; Stokes, T. E. 3 2016 Limit-cycle behaviour in a model chemical reaction: The cubic autocatalator. Zbl 0719.34047Forbes, L. K.; Holmes, C. A. 3 1990 Forced oscillations in an exothermic chemical reaction. Zbl 0822.34034Forbes, Lawrence K.; Gray, Brian F. 3 1994 Computing large-amplitude progressive Rossby waves on a sphere. Zbl 1151.76409Callaghan, T. G.; Forbes, L. K. 3 2006 Optimal fluid injection strategies for in situ mineral leaching in two dimensions. Zbl 0953.76085Forbes, Lawrence K.; McCue, Scott W. 2 1999 Exact solutions for interfacial outflows with straining. Zbl 1300.76009Forbes, Lawrence K.; Brideson, Michael A. 2 2014 A spectral method for Faraday waves in rectangular tanks. Zbl 1294.76203Horsley, David E.; Forbes, Lawrence K. 2 2013 On turbulence modelling and the transition from laminar to turbulent flow. Zbl 1302.76071Forbes, Lawrence K. 2 2014 An exothermic chemical reaction with linear feedback control. Zbl 0864.92018Sexton, M. J.; Forbes, L. K. 2 1996 A study of the dynamics of a continuously stirred tank reactor with feedback control of the temperature. Zbl 0876.34045Sexton, M. J.; Forbes, L. K.; Gray, B. F. 2 1997 Analysis of chemical kinetic systems over the entire parameter space. IV: The Sal’nikov oscillator with two temperature-dependent reaction rates. Zbl 0818.92029Gray, B. F.; Forbes, L. K. 2 1994 Travelling waves and oscillations in Sal’nikov’s combustion reaction in a compressible gas. Zbl 1312.76056Paul, Rhys A.; Forbes, Lawrence K. 2 2015 Non-linear free-surface flows about blunt bodies. Zbl 0461.76009Forbes, Lawrence K. 2 1982 A note on the flow of a homogeneous intrusion into a two-layer fluid. Zbl 1121.76016Hocking, G. C.; Forbes, L. K. 2 2007 On starting conditions for a submerged sink in a fluid. Zbl 1138.76021Forbes, Lawrence K.; Hocking, Graeme C.; Stokes, Tim E. 2 2008 A series analysis of forced transverse oscillations in a spring-mass system. Zbl 0684.34040Forbes, Lawrence K. 2 1989 Stationary patterns of chemical concentration in the Belousov- Zhabotinskij reaction. Zbl 0701.35087Forbes, Lawrence K. 2 1990 Flow fields associated with in situ mineral leaching. Zbl 0828.76080Forbes, Lawrence K.; Watts, Anthony M.; Chandler, Graeme A. 2 1994 Progress toward a mining strategy based on mineral leaching with secondary recovery. Zbl 0854.76090Forbes, Lawrence K. 2 1996 Atmospheric interfacial waves in the presence of two moving fluid layers. Zbl 0842.76013Forbes, Lawrence K.; Belward, Shaun R. 2 1994 Thermal solitons: travelling waves in combustion. Zbl 1371.80031Forbes, Lawrence K. 2 2013 Planar Rayleigh-Taylor instabilities: outflows from a binary line-source system. Zbl 1359.76118Forbes, Lawrence K. 2 2014 A rational approximation to the evolution of a free surface during fluid withdrawal through a point sink. Zbl 1333.76035Hocking, Graeme Charles; Stokes, Timothy E.; Forbes, Lawrence K. 2 2010 An analysis of two- and three-dimensional unsteady withdrawal flows, using shallow water theory. Zbl 0948.76010Koerber, A. J.; Forbes, L. K. 1 2000 Atmospheric solitary waves: Some applications to the morning glory of the Gulf of Carpentaria. Zbl 0880.76014Forbes, Lawrence K.; Belward, Shaun R. 1 1996 Burning down the house: The time to ignition of an irradiated solid. Zbl 0915.65129Forbes, Lawrence K.; Gray, Brian F. 1 1998 An analytical and numerical study of the forced vibration of a spherically cavity. Zbl 0925.76154Forbes, L. K. 1 1994 Dynamical systems analysis of a model describing Tasmanian devil facial tumour-disease. Zbl 1264.92034Beeton, N. J.; Forbes, L. K. 1 2012 Waves in two-layer shear flow for viscous and inviscid fluids. Zbl 1258.76075Chen, Michael J.; Forbes, Lawrence K. 1 2011 Selective withdrawal of a two-layer viscous fluid. Zbl 1379.76014Cosgrove, Jason M.; Forbes, Lawrence K. 1 2012 A note on oscillations in a simple model of a chemical reaction. Zbl 0854.34040Sexton, M. Jane; Forbes, Lawrence K. 1 1996 Large amplitude axisymmetric capillary waves. Zbl 1187.76636Osborne, Tobias; Forbes, Lawrence K. 1 2001 Interfacial behaviour in two-fluid Taylor-Couette flow. Zbl 1448.76086Forbes, L. K.; Bassom, Andrew P. 1 2018 Ideal planar fluid flow over a submerged obstacle: review and extension. Zbl 07455957Forbes, Lawrence K.; Walters, Stephen J.; Hocking, Graeme C. 1 2021 Analytic and numerical solutions to the seismic wave equation in continuous media. Zbl 1472.86012Walters, S. J.; Forbes, L. K.; Reading, A. M. 1 2020 Fully 3D Rayleigh-Taylor instability in a Boussinesq fluid. Zbl 1422.76066Walters, S. J.; Forbes, L. K. 3 2019 A model for the treatment of environmentally transmitted sarcoptic mange in bare-nosed wombats (Vombatus ursinus). Zbl 1406.92349Beeton, Nicholas J.; Carver, Scott; Forbes, Lawrence K. 1 2019 Interfacial behaviour in two-fluid Taylor-Couette flow. Zbl 1448.76086Forbes, L. K.; Bassom, Andrew P. 1 2018 The initiation of a planar fluid plume beneath a rigid lid. Zbl 1469.76039Russell, Patrick S.; Forbes, Lawrence K.; Hocking, Graeme C. 5 2017 Compressibility effects on outflows in a two-fluid system. I: Line source in cylindrical geometry. Zbl 1388.76330Krzysik, Oliver A.; Forbes, Lawrence K. 1 2017 The effect of surface tension on free surface flow induced by a point sink in a fluid of finite depth. Zbl 1390.76045Hocking, G. C.; Nguyen, H. H. N.; Stokes, T. E.; Forbes, L. K. 1 2017 On modelling the transition to turbulence in pipe flow. Zbl 1373.76052Forbes, Lawrence K.; Brideson, Michael A. 1 2017 Unsteady flows induced by a point source or sink in a fluid of finite depth. Zbl 1386.76027Stokes, T. E.; Hocking, G. C.; Forbes, L. K. 1 2017 Nonlinear behaviour of interacting mid-latitude atmospheric vortices. Zbl 1369.86003Cosgrove, Jason M.; Forbes, Lawrence K. 1 2017 The effect of surface tension on free-surface flow induced by a point sink. Zbl 1408.76114Hocking, G. C.; Nguyen, H. H. N.; Forbes, L. K.; Stokes, T. E. 3 2016 The formation of large-amplitude fingers in atmospheric vortices. Zbl 1428.86013Cosgrove, Jason M.; Forbes, Lawrence K. 1 2016 Combustion waves in Sal’nikov’s reaction scheme in a spherically symmetric gas. Zbl 1360.80012Paul, Rhys A.; Forbes, Lawrence K. 1 2016 Kelvin-Helmholtz creeping flow at the interface between two viscous fluids. Zbl 1327.76064Forbes, Lawrence K.; Paul, Rhys A.; Chen, Michael J.; Horsley, David E. 5 2015 Travelling waves and oscillations in Sal’nikov’s combustion reaction in a compressible gas. Zbl 1312.76056Paul, Rhys A.; Forbes, Lawrence K. 2 2015 Transition to turbulence from plane Couette flow. Zbl 1331.76052Forbes, L. K. 1 2015 How strain and spin may make a star bi-polar. Zbl 1309.85004Forbes, Lawrence K. 6 2014 A note on steady flow into a submerged point sink. Zbl 1306.76005Hocking, G. C.; Forbes, L. K.; Stokes, T. E. 5 2014 A line vortex in a two-fluid system. Zbl 1367.76014Forbes, Lawrence K.; Cosgrove, Jason M. 4 2014 Exact solutions for interfacial outflows with straining. Zbl 1300.76009Forbes, Lawrence K.; Brideson, Michael A. 2 2014 On turbulence modelling and the transition from laminar to turbulent flow. Zbl 1302.76071Forbes, Lawrence K. 2 2014 Planar Rayleigh-Taylor instabilities: outflows from a binary line-source system. Zbl 1359.76118Forbes, Lawrence K. 2 2014 Waveless subcritical flow past symmetric bottom topography. Zbl 1267.76011Holmes, R. J.; Hocking, G. C.; Forbes, L. K.; Baillard, N. Y. 7 2013 A note on waveless subcritical flow past a submerged semi-ellipse. Zbl 1359.76060Hocking, G. C.; Holmes, R. J.; Forbes, L. K. 7 2013 Unsteady plumes in planar flow of viscous and inviscid fluids. Zbl 1319.76012Forbes, Lawrence K.; Hocking, Graeme C. 3 2013 A spectral method for Faraday waves in rectangular tanks. Zbl 1294.76203Horsley, David E.; Forbes, Lawrence K. 2 2013 Thermal solitons: travelling waves in combustion. Zbl 1371.80031Forbes, Lawrence K. 2 2013 Inviscid and viscous models of axisymmetric fluid jets or plumes. Zbl 1254.76074Letchford, Nicholas A.; Forbes, Lawrence K.; Hocking, Graeme C. 5 2012 Steady free surface flows induced by a submerged ring source or sink. Zbl 1250.76025Stokes, T. E.; Hocking, G. C.; Forbes, L. K. 3 2012 Dynamical systems analysis of a model describing Tasmanian devil facial tumour-disease. Zbl 1264.92034Beeton, N. J.; Forbes, L. K. 1 2012 Selective withdrawal of a two-layer viscous fluid. Zbl 1379.76014Cosgrove, Jason M.; Forbes, Lawrence K. 1 2012 A cylindrical Rayleigh-Taylor instability: radial outflow from pipes or stars. Zbl 1254.76084Forbes, Lawrence K. 16 2011 Accurate methods for computing inviscid and viscous Kelvin-Helmholtz instability. Zbl 1391.76147Chen, Michael J.; Forbes, Lawrence K. 11 2011 Rayleigh-Taylor instabilities in axi-symmetric outflow from a point source. Zbl 1247.76032Forbes, Lawrence K. 10 2011 Waves in two-layer shear flow for viscous and inviscid fluids. Zbl 1258.76075Chen, Michael J.; Forbes, Lawrence K. 1 2011 Steady flow of a buoyant plume into a constant-density layer. Zbl 1310.76176Hocking, G. C.; Forbes, L. K. 7 2010 Sloshing of an ideal fluid in a horizontally forced rectangular tank. Zbl 1273.76057Forbes, Lawrence K. 4 2010 A rational approximation to the evolution of a free surface during fluid withdrawal through a point sink. Zbl 1333.76035Hocking, Graeme Charles; Stokes, Timothy E.; Forbes, Lawrence K. 2 2010 Unsteady draining of a fluid from a circular tank. Zbl 1201.76037Forbes, Lawrence K.; Hocking, Graeme C. 1 2010 The Rayleigh-Taylor instability for inviscid and viscous fluids. Zbl 1180.76023Forbes, Lawrence K. 25 2009 Dynamical systems analysis of a five-dimensional trophic food web model in the southern oceans. Zbl 1196.37125Hadley, Scott A.; Forbes, Lawrence K. 5 2009 Unsteady free surface flow induced by a line sink in a fluid of finite depth. Zbl 1237.76132Stokes, T. E.; Hocking, G. C.; Forbes, L. K. 7 2008 Steady periodic waves in a three-layer fluid with shear in the middle layer. Zbl 1159.76312Chen, Michael J.; Forbes, Lawrence K. 4 2008 On starting conditions for a submerged sink in a fluid. Zbl 1138.76021Forbes, Lawrence K.; Hocking, Graeme C.; Stokes, Tim E. 2 2008 Computing unstable periodic waves at the interface of two inviscid fluids in uniform vertical flow. Zbl 1123.76012Forbes, Lawrence K.; Chen, Michael J.; Trenham, Claire E. 20 2007 Unsteady draining flows from a rectangular tank. Zbl 1182.76252Forbes, Lawrence K.; Hocking, Graeme C. 9 2007 A note on the flow of a homogeneous intrusion into a two-layer fluid. Zbl 1121.76016Hocking, G. C.; Forbes, L. K. 2 2007 Calculating the movement of MRI coils, and minimizing their noise. Zbl 1347.92038Forbes, L. K.; Brideson, M. A.; Crozier, S.; While, P. T. 1 2007 An intrusion layer in stationary incompressible fluids. II: A solitary wave. Zbl 1124.76004Forbes, Lawrence K.; Hocking, Graeme C. 6 2006 An intrusion layer in stationary incompressible fluids. I: Periodic waves. Zbl 1123.76007Forbes, Lawrence K.; Hocking, Graeme C.; Farrow, Duncan E. 5 2006 Computing large-amplitude progressive Rossby waves on a sphere. Zbl 1151.76409Callaghan, T. G.; Forbes, L. K. 3 2006 Unsteady flow induced by a withdrawal point beneath a free surface. Zbl 1123.76321Stokes, T. E.; Hocking, G. C.; Forbes, L. K. 13 2005 Flow due to a sink near a vertical wall, in infinitely deep fluid. Zbl 1134.76318Forbes, Lawrence K.; Hocking, Graeme C. 5 2005 Salt-water up-coning during extraction of fresh water from a tropical island. Zbl 1046.76050Forbes, Lawrence K.; Hocking, Graeme C.; Wotherspoon, Simon 6 2004 The lens of freshwater in a tropical island– 2D withdrawal. Zbl 1035.76050Hocking, G. C.; Forbes, L. K. 3 2004 Unsteady free-surface flow induced by a line sink. Zbl 1038.76510Stokes, T. E.; Hocking, G. C.; Forbes, L. K. 19 2003 On the computation of steady axisymmetric withdrawal from a two-layer fluid. Zbl 1013.76019Forbes, Lawrence K.; Hocking, Graeme C. 10 2003 Free-surface flows emerging from beneath a semi-infinite plate with constant vorticity. Zbl 1003.76008McCue, Scott W.; Forbes, Lawrence K. 9 2002 A note on withdrawal from a fluid of finite depth through a point sink. Zbl 1018.76007Hocking, G. C.; Vanden-Broeck, J.-M.; Forbes, L. K. 8 2002 Super-critical withdrawal from a two-layer fluid through a line sink if the lower layer is of finite depth. Zbl 0973.76020Hocking, G. C.; Forbes, L. K. 14 2001 A combustion wave of permanent form in a compressible gas. Zbl 1065.80505Forbes, Lawrence K.; Derrick, William 5 2001 The design of a full-scale industrial mineral leaching process. Zbl 1076.86504Forbes, Lawrence K. 3 2001 Large amplitude axisymmetric capillary waves. Zbl 1187.76636Osborne, Tobias; Forbes, Lawrence K. 1 2001 Withdrawal from a fluid of finite depth through a line sink, including surface-tension effects. Zbl 0977.76011Hocking, G. C.; Forbes, L. K. 3 2000 An analysis of two- and three-dimensional unsteady withdrawal flows, using shallow water theory. Zbl 0948.76010Koerber, A. J.; Forbes, L. K. 1 2000 Bow and stern flows with constant vorticity. Zbl 0958.76010McCue, Scott W.; Forbes, Lawrence K. 8 1999 Optimal fluid injection strategies for in situ mineral leaching in two dimensions. Zbl 0953.76085Forbes, Lawrence K.; McCue, Scott W. 2 1999 Withdrawal from a two-layer inviscid fluid in a duct. Zbl 0916.76093Forbes, Lawrence K.; Hocking, Graeme C. 5 1998 Burning down the house: The time to ignition of an irradiated solid. Zbl 0915.65129Forbes, Lawrence K.; Gray, Brian F. 1 1998 Two-dimensional steady free surface flow into a semi-infinite mat sink. Zbl 1185.76458Koerber, A. J.; Forbes, L. K. 1 1998 Caluculating current densities and fields produced by shielded magnetic resonance imaging probes. Zbl 0871.65116Forbes, Lawrence K.; Crozier, Stuart; Doddrell, David M. 27 1997 A two-dimensional model for large-scale bushfire spread. Zbl 0902.92024Forbes, Lawrence K. 4 1997 A study of the dynamics of a continuously stirred tank reactor with feedback control of the temperature. Zbl 0876.34045Sexton, M. J.; Forbes, L. K.; Gray, B. F. 2 1997 A note on withdrawal through point sink in fluid of finite depth. Zbl 0854.76007Forbes, Lawrence K.; Hocking, Graeme C.; Chandler, Graeme A. 6 1996 An exothermic chemical reaction with linear feedback control. Zbl 0864.92018Sexton, M. J.; Forbes, L. K. 2 1996 Progress toward a mining strategy based on mineral leaching with secondary recovery. Zbl 0854.76090Forbes, Lawrence K. 2 1996 Atmospheric solitary waves: Some applications to the morning glory of the Gulf of Carpentaria. Zbl 0880.76014Forbes, Lawrence K.; Belward, Shaun R. 1 1996 A note on oscillations in a simple model of a chemical reaction. Zbl 0854.34040Sexton, M. Jane; Forbes, Lawrence K. 1 1996 The bath-plug vortex. Zbl 0846.76013Forbes, Lawrence K.; Hocking, Graeme C. 11 1995 Interfacial waves and hydraulic falls: Some applications to atmospheric flows in the lee of mountains. Zbl 0823.76014Belward, Shaun R.; Forbes, Lawrence K. 7 1995 Analysis of the unified thermal and chain branching model of hydrocarbon oxidation. Zbl 0833.92027Sidhu, H. S.; Forbes, L. K.; Gray, B. F. 1 1995 Forced oscillations in an exothermic chemical reaction. Zbl 0822.34034Forbes, Lawrence K.; Gray, Brian F. 3 1994 Analysis of chemical kinetic systems over the entire parameter space. IV: The Sal’nikov oscillator with two temperature-dependent reaction rates. Zbl 0818.92029Gray, B. F.; Forbes, L. K. 2 1994 Flow fields associated with in situ mineral leaching. Zbl 0828.76080Forbes, Lawrence K.; Watts, Anthony M.; Chandler, Graeme A. 2 1994 Atmospheric interfacial waves in the presence of two moving fluid layers. Zbl 0842.76013Forbes, Lawrence K.; Belward, Shaun R. 2 1994 An analytical and numerical study of the forced vibration of a spherically cavity. Zbl 0925.76154Forbes, L. K. 1 1994 Flow induced by a line sink in a quiescent fluid with surface-tension effects. Zbl 0771.76012Forbes, Lawrence K.; Hocking, Graeme C. 14 1993 Fully non-linear two-layer flow over arbitrary topography. Zbl 0793.76106Belward, S. R.; Forbes, L. K. 11 1993 One-dimensional pattern formation in a model of burning. Zbl 0797.35084Forbes, Lawrence K. 5 1993 Subcritical free-surface flow caused by a line source in a fluid of finite depth. Zbl 0763.76011Hocking, G. C.; Forbes, L. K. 15 1992 Atmospheric interfacial waves. Zbl 0825.76126Forbes, Lawrence K.; Belward, Shaun R. 6 1992 A note on the flow induced by a line sink beneath a free surface. Zbl 0716.76016Hocking, G. C.; Forbes, L. K. 19 1991 On the presence of limit-cycles in a model exothermic chemical reaction: Sal’nikov’s oscillator with two temperature-dependent reaction rates. Zbl 0729.34502Forbes, Lawrence K.; Myerscough, Mary R.; Gray, Brian F. 5 1991 Forced transverse oscillations in a simple spring-mass system. Zbl 0743.70022Forbes, Lawrence K. 4 1991 On stability and uniqueness of stationary one-dimensional patterns in the Belousov-Zhabotinsky reaction. Zbl 0739.65102Forbes, Lawrence K. 3 1991 Flow caused by a point sink in a fluid having a free surface. Zbl 0708.76032Forbes, Lawrence K.; Hocking, Graeme C. 21 1990 Limit-cycle behaviour in a model chemical reaction: The Sal’nikov thermokinetic oscillator. Zbl 0729.92033Forbes, Lawrence K. 7 1990 Limit-cycle behaviour in a model chemical reaction: The cubic autocatalator. Zbl 0719.34047Forbes, L. K.; Holmes, C. A. 3 1990 Stationary patterns of chemical concentration in the Belousov- Zhabotinskij reaction. Zbl 0701.35087Forbes, Lawrence K. 2 1990 ...and 18 more Documents all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year