Anthony John Roberts

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J. E. BunderUniversity of South AustraliaVerified email at unisa.edu.au
Roderick MelnikProfessor, CRC in Mathematical Modelling, M3AI @ MS2Discovery IRI WaterlooVerified email at wlu.ca
GN MercerNational Centre for Epidemiology and Population Health, Australian National UniversityVerified email at anu.edu.au
Jinqiao Duan, Chair ProfessorGreat Bay University (near Hong Kong, China)Verified email at gbu.edu.cn
Zhenquan LiSenior Lecturer, Charles Sturt University, AustraliaVerified email at csu.edu.au
Sergey A. SuslovProfessor of Applied Mathematics, Swinburne University of TechnologyVerified email at swin.edu.au
Giovanni SamaeyDepartment of Computer Science, KU LeuvenVerified email at cs.kuleuven.be
William R. YoungProfessor of OceanographyVerified email at ucsd.edu
Pavel BedrikovetskyProfessor of Petroleum Engineering, University of AdelaideVerified email at asp.adelaide.edu.au
Sara BorazjaniAdjunct associate lecturer, Adelaide universityVerified email at adelaide.edu.au
Herbert F JelinekDepartment of Medical Sciences, Khalifa University, Abu DhabiVerified email at ku.ac.ae
Xingye KanUniversity of Minnesota, Twin CityVerified email at umn.edu
Stephen M. Cox
Nicola D RobertsWellcome Trust Sanger InstituteVerified email at sanger.ac.uk

Anthony John Roberts

Professor of Applied Maths, University of Adelaide

Verified email at adelaide.edu.au - Homepage

mathematical modelling dynamical systems fluid flow


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Reproductive pair correlations and the clustering of organisms WR Young, AJ Roberts, G Stuhne Nature 412 (6844), 328-331, 2001	246	2001
A centre manifold description of contaminant dispersion in channels with varying flow properties GN Mercer, AJ Roberts SIAM Journal on Applied Mathematics 50 (6), 1547-1565, 1990	210	1990
A lubrication model of coating flows over a curved substrate in space RV Roy, AJ Roberts, ME Simpson Journal of Fluid Mechanics 454, 235-261, 2002	149	2002
Average and deviation for slow–fast stochastic partial differential equations W Wang, AJ Roberts Journal of Differential Equations 253 (5), 1265-1286, 2012	141	2012
Highly nonlinear short-crested water waves AJ Roberts Journal of fluid mechanics 135, 301-321, 1983	127	1983
Model emergent dynamics in complex systems AJ Roberts Society for Industrial and Applied Mathematics, 2014	119	2014
Low-dimensional modelling of dynamics via computer algebra AJ Roberts Computer Physics Communications 100 (3), 215-230, 1997	115	1997
Normal form transforms separate slow and fast modes in stochastic dynamical systems AJ Roberts Physica A: Statistical Mechanics and its Applications 387 (1), 12-38, 2008	104	2008
Appropriate initial conditions for asymptotic descriptions of the long term evolution of dynamical systems AJ Roberts The ANZIAM Journal 31 (1), 48-75, 1989	101	1989
Standing waves in deep water: Their stability and extreme form GN Mercer, AJ Roberts Physics of Fluids A: Fluid Dynamics 4 (2), 259-269, 1992	93	1992
Transient free-surface flows generated by a moving vertical plate AJ Roberts The Quarterly Journal of Mechanics and Applied Mathematics 40 (1), 129-158, 1987	90	1987
A stable and accurate numerical method to calculate the motion of a sharp interface between fluids AJ Roberts IMA journal of applied mathematics 31 (1), 13-35, 1983	86	1983
The utility of an invariant manifold description of the evolution of a dynamical system AJ Roberts SIAM journal on mathematical analysis 20 (6), 1447-1458, 1989	82	1989
Initial conditions for models of dynamical systems SM Cox, AJ Roberts Physica D: Nonlinear Phenomena 85 (1-2), 126-141, 1995	80	1995
The application of centre-manifold theory to the evolution of system which vary slowly in space AJ Roberts The ANZIAM Journal 29 (4), 480-500, 1988	80	1988
Low-dimensional models of thin film fluid dynamics AJ Roberts Physics Letters A 212 (1-2), 63-71, 1996	73	1996
A complete model of shear dispersion in pipes GN Mercer, AJ Roberts Japan journal of industrial and applied mathematics 11, 499-521, 1994	70	1994
A one-dimensional introduction to continuum mechanics TAJ Roberts World Scientific, 1994	66	1994
An accurate and comprehensive model of thin fluid flows with inertia on curved substrates AJ Roberts, Z Li Journal of Fluid Mechanics 553, 33-73, 2006	65	2006
The calculation of nonlinear short-crested gravity waves AJ Roberts, LW Schwartz Physics of Fluids 26 (9), 2388-2392, 1983	65	1983

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