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	244	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	205	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	133	2012
Highly nonlinear short-crested water waves AJ Roberts Journal of fluid mechanics 135, 301-321, 1983	124	1983
Model emergent dynamics in complex systems AJ Roberts Society for Industrial and Applied Mathematics, 2014	114	2014
Low-dimensional modelling of dynamics via computer algebra AJ Roberts Computer physics communications 100 (3), 215-230, 1997	114	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	100	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	99	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	88	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	85	1983
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
Initial conditions for models of dynamical systems SM Cox, AJ Roberts Physica D: Nonlinear Phenomena 85 (1-2), 126-141, 1995	79	1995
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	79	1989
Low-dimensional models of thin film fluid dynamics AJ Roberts Physics Letters A 212 (1-2), 63-71, 1996	74	1996
A complete model of shear dispersion in pipes GN Mercer, AJ Roberts Japan journal of industrial and applied mathematics 11, 499-521, 1994	71	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	67	2006
A one-dimensional introduction to continuum mechanics AJ Roberts World Scientific, 1994	66	1994
Computing dynamics of copper-based SMA via centre manifold reduction of 3D models RVN Melnik, AJ Roberts, KA Thomas Computational materials science 18 (3-4), 255-268, 2000	64	2000

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