Edit Profile (opens in new tab) Hill, James Murray Co-Author Distance Author ID: hill.james-murray Published as: Hill, James M.; Hill, J. M.; Hill, James Murray; Hill, Joe D.; Hill, James; Hill, Jim more...less Homepage: https://people.unisa.edu.au/Jim.Hill External Links: MGP · dblp Documents Indexed: 247 Publications since 1964, including 5 Books 5 Contributions as Editor Co-Authors: 82 Co-Authors with 195 Joint Publications 1,508 Co-Co-Authors all top 5 Co-Authors 52 single-authored 30 Thamwattana, Ngamta 26 Cox, Barry James 16 Cox, Grant M. 14 Baowan, Duangkamon 13 Arrigo, Daniel J. 10 Dewynne, Jeffrey N. 10 Wu, Yonghong 9 McCue, Scott William 8 Matthews, Miccal T. 7 Lee, Alexander I. 6 Chan, Yue 6 Lee, Richard K. F. 5 Broadbridge, Philip 5 Gulati, Chandra M. 5 Hill, Desmond L. 5 Selvadurai, A. Patrick S. 4 Kucera, Adam 4 Tordesillas, Antoinette A. 3 Al Garalleh, Hakim 3 Alshehri, Mansoor H. 3 Antic, Alexsandar 3 Johnpillai, I. Kenneth 3 Milan, Anna M. 3 Spencer, Anthony James Merrill 3 Wu, Bisheng 3 Zheng, Xiaoming 2 Aifantis, Elias C. 2 Davis, Gregory Bruce 2 Edwards, Maureen P. 2 Jennings, Michael J. 2 Katoanga, Tui L. 2 Liyanage, Liwan H. 2 McCoy, James Alexander 2 McNabb, Alex 2 Padukka, Nilmini 2 Shield, Richard Thorpe 2 Tran-Duc, Thien 2 Willis, John Raymond 1 Allen, Edward James 1 Alshammari, Nawa Awad 1 Anderssen, Robert Scott 1 Avagliano, Aaron J. 1 Beatty, Millard F. jun. 1 Bennett, James C. 1 Berndt, Bruce Carl 1 Burns, John A. 1 Cerone, Pietro 1 Flint, Paul J. 1 Gilliam, David S. 1 Goard, Joanna M. 1 Hart, Vincent Gerald 1 Haverkamp, Richard G. 1 Hilder, Tamsyn A. 1 Hoang, Ha V. 1 Huber, Tim 1 Hughes, Barry D. 1 Laird, Philip G. 1 Marchant, Timothy R. 1 McMurtry, G. J. 1 Moore, Ross 1 Myers, Timothy G. 1 Nillsen, R. V. 1 O’Leary, Joseph 1 Pani, Amiya Kumar 1 Pincombe, Adrian Hall 1 Rahmat, Fainida 1 Rogers, Colin 1 Sarapat, Pakhapoom 1 Shi, Jingyu 1 Shubov, Viktor Isaakovich 1 Smyth, Noel Frederick 1 Stokes, Yvonne Marie 1 Stump, David M. 1 Sumetpipat, Kanes 1 Tillman, Pei 1 To, Dong Vu 1 Tognetti, Keith P. 1 Triadis, Dimetre 1 Wegner, J. L. 1 Wikieł, B. 1 Williams, Kiren A. 1 Wiwatanapataphee, Benchawan 1 Yu, Aibing all top 5 Serials 28 ZAMP. Zeitschrift für angewandte Mathematik und Physik 24 Quarterly Journal of Mechanics and Applied Mathematics 16 IMA Journal of Applied Mathematics 14 Mathematics and Mechanics of Solids 12 Journal of Engineering Mathematics 12 Journal of Mathematical Chemistry 10 Acta Mechanica 9 Journal of the Australian Mathematical Society, Series B 9 Journal of Elasticity 9 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 8 Journal of Physics A: Mathematical and Theoretical 6 International Journal of Non-Linear Mechanics 6 Journal of Mathematical Analysis and Applications 6 Quarterly of Applied Mathematics 6 Applied Mathematical Modelling 5 International Journal of Solids and Structures 5 The ANZIAM Journal 4 International Journal of Engineering Science 4 Journal of the Mechanics and Physics of Solids 3 Bulletin of the Australian Mathematical Society 3 Mechanics Research Communications 3 Utilitas Mathematica 2 Canadian Journal of Mathematics 2 Journal of Applied Probability 2 The Mathematical Scientist 2 Computational Mechanics 2 Communications in Nonlinear Science and Numerical Simulation 2 Pitman Monographs and Surveys in Pure and Applied Mathematics 2 Journal of Theoretical Biology 1 International Journal of Heat and Mass Transfer 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 Journal of Mathematical Physics 1 Bulletin of Mathematical Biology 1 Acta Arithmetica 1 Journal of Computational and Applied Mathematics 1 Sankhyā. Series A. Methods and Techniques 1 Studies in Applied Mathematics 1 Tôhoku Mathematical Journal. Second Series 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Celestial Mechanics and Dynamical Astronomy 1 Integral Transforms and Special Functions 1 The Ramanujan Journal 1 Nonlinear Dynamics 1 Journal of Applied Mathematics and Decision Sciences 1 European Journal of Mechanics. A. Solids 1 Journal of Nonlinear Mathematical Physics 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Applied Mathematics and Engineering Science Texts 1 International Journal of Theoretical and Applied Multiscale Mechanics (IJTAMM) 1 Nonlinear Analysis. Theory, Methods & Applications 1 Research Notes in Mathematics (San Francisco) 1 Proceedings of the Centre for Mathematics and its Applications, Australian National University 1 Proceedings in Applied Mathematics all top 5 Fields 121 Mechanics of deformable solids (74-XX) 65 Partial differential equations (35-XX) 51 Fluid mechanics (76-XX) 24 Statistical mechanics, structure of matter (82-XX) 17 Classical thermodynamics, heat transfer (80-XX) 17 Biology and other natural sciences (92-XX) 10 Probability theory and stochastic processes (60-XX) 10 Numerical analysis (65-XX) 10 Relativity and gravitational theory (83-XX) 8 Quantum theory (81-XX) 7 Special functions (33-XX) 7 Ordinary differential equations (34-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 General and overarching topics; collections (00-XX) 4 Number theory (11-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of particles and systems (70-XX) 3 Astronomy and astrophysics (85-XX) 3 Geophysics (86-XX) 2 History and biography (01-XX) 2 Integral equations (45-XX) 2 Optics, electromagnetic theory (78-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 186 Publications have been cited 1,026 times in 638 Documents Cited by ▼ Year ▼ Nonclassical symmetry reductions of the linear diffusion equation with a nonlinear source. Zbl 0791.35060 Arrigo, D. J.; Hill, J. M.; Broadbridge, P. 42 1994 High-order nonlinear diffusion. Zbl 0694.35091 Smyth, N. F.; Hill, J. M. 41 1988 Solution of differential equations by means of one-parameter groups. Zbl 0497.34002 Hill, J. M. 34 1982 Differential equations and group methods for scientists and engineers. Zbl 0847.34003 Hill, James M. 33 1992 Mechanics of atoms and fullerenes in single-walled carbon nanotubes. I: Acceptance and suction energies. Zbl 1131.81322 Cox, Barry J.; Thamwattana, Ngamta; Hill, James M. 30 2007 On the theory of diffusion in media with double diffusivity I. Basic mathematical results. Zbl 0435.73108 Aifantis, Elias C.; Hill, James M. 29 1980 Nonclassical symmetry solutions and the methods of Bluman-Cole and Clarkson-Kruskal. Zbl 0784.35097 Arrigo, D. J.; Broadbridge, P.; Hill, J. M. 28 1993 One-dimensional Stefan problems: an introduction. Zbl 0658.35002 Hill, James M. 23 1987 Classical two-phase Stefan problem for spheres. Zbl 1145.80303 McCue, Scott W.; Wu, Bisheng; Hill, James M. 23 2008 Mechanics of atoms and fullerenes in single-walled carbon nanotubes. II: Oscillatory behaviour. Zbl 1131.81323 Cox, Barry J.; Thamwattana, Ngamta; Hill, James M. 22 2007 Newtonian flow with nonlinear Navier boundary condition. Zbl 1117.76024 Matthews, M. T.; Hill, J. M. 21 2007 Nonclassical symmetries for nonlinear diffusion and absorption. Zbl 0822.35064 Arrigo, D. J.; Hill, J. M. 21 1995 Partial solutions of finite elasticity. I: Plane deformations. II: Axially symmetric deformations. Zbl 0291.73026 Hill, James M. 19 1973 Flow around nanospheres and nanocylinders. Zbl 1100.76017 Matthews, Miccal T.; Hill, James M. 17 2006 Similarity solutions for nonlinear diffusion - A new integration procedure. Zbl 0698.76098 Hill, J. M. 17 1989 New families of exact solutions for finitely deformed incompressible elastic materials. Zbl 0837.73026 Hill, James M.; Arrigo, Daniel J. 16 1995 Einstein’s special relativity beyond the speed of light. Zbl 1371.83009 Hill, James M.; Cox, Barry J. 14 2012 Nano boundary layer equation with nonlinear Navier boundary condition. Zbl 1207.76050 Matthews, Miccal T.; Hill, James M. 13 2007 Energy density functions for protein structures. Zbl 1147.74036 Thamwattana, Ngamta; McCoy, James A.; Hill, James M. 13 2008 A note on the boundary layer equations with linear slip boundary condition. Zbl 1148.76019 Matthews, Miccal T.; Hill, James M. 13 2008 On the general linear coupled system for diffusion in media with two diffusivities. Zbl 0493.35051 Lee, Alexander I.; Hill, James M. 12 1982 A moving boundary problem for the sphere. Zbl 0511.35081 Davis, Gregory B.; Hill, James M. 12 1982 Transformations and equation reductions in finite elasticity. I: Plane strain deformations. Zbl 1001.74517 Hill, James M.; Arrigo, Daniel J. 12 1996 Heat conduction. Zbl 0656.35001 Hill, James M.; Dewynne, Jeffrey N. 11 1987 Transformations and equation reductions in finite elasticity. II: Plane stress and axially symmetric deformations. Zbl 1001.74519 Arrigo, Daniel J.; Hill, James M. 11 1996 Some similarity temperature profiles for the microwave heating of a half- space. Zbl 0757.35081 Hill, James M.; Pincombe, Adrian H. 11 1992 Formulation of model equations for heating by microwave radiation. Zbl 0784.35114 Hill, James M.; Jennings, Michael J. 11 1993 A variational approach to the perpendicular joining of nanotubes to plane sheets. Zbl 1137.82339 Cox, Barry J.; Hill, James M. 10 2008 Exact integrals and solutions for finite deformations of the incompressible Varga elastic materials. Zbl 1008.74012 Hill, J. M. 9 2001 Approximation in bounded summability fields. Zbl 0162.08001 Hill, J. D.; Sledd, W. T. 9 1968 Partial solutions of finite elasticity. III: Three dimensional deformations. Zbl 0327.73036 Hill, James M. 9 1973 Similarity solutions for nonlinear diffusion - Further exact solutions. Zbl 0709.76129 Hill, D. L.; Hill, J. M. 9 1990 On the theory of diffusion in media with double diffusivity II. Boundary- value problems. Zbl 0435.73109 Hill, James M.; Aifantis, Elias C. 9 1980 Force distribution for double-walled carbon nanotubes and gigahertz oscillators. Zbl 1211.81103 Baowan, Duangkamon; Hill, James M. 9 2007 Micro/nanoparticle melting with spherical symmetry and surface tension. Zbl 1169.80302 McCue, Scott W.; Wu, Bisheng; Hill, James M. 8 2009 One-dimensional Stefan problems: an introduction. Zbl 0698.35002 Hill, James M. 8 1987 The Stefan problem in nonlinear heat conduction. Zbl 0624.73130 Hill, James M.; Hart, Vincent G. 8 1986 Micro/nano thermal boundary layer equations with slip-creep-jump boundary conditions. Zbl 1388.76055 Matthews, Miccal T.; Hill, James M. 8 2007 A review of partial solutions of finite elasticity and their applications. Zbl 1345.74010 Hill, James M. 7 2001 On an infinite integral arising in the numerical integration of stochastic differential equations. Zbl 1145.65300 Stump, David M.; Hill, James M. 7 2005 Single phase limit for melting nanoparticles. Zbl 1185.82079 Wu, Bisheng; Mccue, Scott W.; Tillman, Pei; Hill, James M. 7 2009 On the solution of reaction-diffusion equations. Zbl 0467.35052 Hill, J. M. 7 1981 The finite inflation of a thick-walled elastic torus. Zbl 0473.73023 Hill, James M. 7 1980 Some exact results for nonlinear diffusion with absorption. Zbl 0763.35047 Hill, James M.; Avagliano, Aaron J.; Edwards, Maureen P. 7 1992 Cylindrical and spherical inflation in compressible finite elasticity. Zbl 0773.73038 Hill, James M. 7 1993 On the formal origins of dark energy. Zbl 1401.83001 Hill, James M. 7 2018 On an integral formulation for moving boundary problems. Zbl 0568.35090 Dewynne, Jeffrey N.; Hill, James M. 6 1984 The double-diffusivity heat transfer model for grain stores incorporating microwave heating. Zbl 1043.80001 Antic, Alexsandar; Hill, James M. 6 2003 The impact of finite precision arithmetic and sensitivity on the numerical solution of partial differential equations. Zbl 1060.65116 Allen, E.; Burns, J.; Gilliam, D.; Hill, Joe D.; Shubov, V. 6 2002 Summability-(Z,p) and sequences of periodic type. Zbl 0136.35802 Hill, J. D.; Sledd, W. T. 6 1964 Micro/nano sliding plate problem with Navier boundary condition. Zbl 1142.76360 Matthews, Miccal T.; Hill, James M. 6 2006 Closed form solutions for small deformations superimposed upon the symmetrical expansion of a spherical shell. Zbl 0346.73048 Hill, James M. 6 1976 Axial buckling of multi-walled carbon nanotubes and nanopeapods. Zbl 1278.74061 Chan, Yue; Thamwattana, Ngamta; Hill, James M. 6 2011 Dynamics of an elastic ball bouncing on an oscillating plane and the oscillon. Zbl 0986.74019 Hill, James M.; Jennings, Michael J.; To, Dong Vu; Williams, Kiren A. 5 2000 Radial deflections of thin precompressed cylindrical rubber bush moutings. Zbl 0344.73068 Hill, James M. 5 1977 An exact polyhedral model for boron nanotubes. Zbl 1156.82025 Lee, Richard K. F.; Cox, Barry J.; Hill, James M. 5 2009 On inward solidifying cylinders and spheres initially not at their fusion temperature. Zbl 0586.73197 Kucera, Adam; Hill, James M. 5 1986 Simple exact solutions applicable to microwave heating. Zbl 0722.35089 Hill, James M. 5 1989 A novel finite element method for heat transfer in the continuous caster. Zbl 0801.65121 Wu, Yong-Hong; Hill, James M.; Flint, Paul J. 5 1994 Some further comments on special relativity and dark energy. Zbl 1408.83006 Hill, James M. 5 2019 Mechanics of nanotubes oscillating in carbon nanotube bundles. Zbl 1139.74025 Cox, Barry J.; Thamwattana, Ngamta; Hill, James M. 4 2008 On static similarity deformations for isotropic materials. Zbl 0507.73032 Hill, James M. 4 1982 Freezing a saturated liquid inside a sphere. Zbl 0536.76091 Hill, James M.; Kucera, Adam 4 1983 Finite elastic plane strain bending of sectors of circular cylindrical tubes. Zbl 1210.74023 Hill, James M.; Milan, Anna M. 4 2001 Analysis of flux flow and the formation of oscillation marks in the continuous caster. Zbl 0964.76020 Hill, James M.; Wu, Yong Hong; Wiwatanapataphee, Benchawan 4 1999 On a nonlinear Stefan problem arising in the continuous casting of steel. Zbl 0881.76099 Hill, J. M.; Wu, Y.-H. 4 1994 Modelling microwave heating. Zbl 0852.73007 Hill, James M.; Marchant, Timothy R. 4 1996 Improved lower bounds for the motion of moving boundaries. Zbl 0558.35079 Hill, James M.; Dewynne, Jeffrey N. 4 1984 Transformations and equation reductions in finite elasticity. III: A general integral for plane strain deformations. Zbl 1001.74533 Hill, James M.; Arrigo, Daniel J. 4 1999 Non-dilatant double-shearing theory applied to granular funnel-flow in hoppers. Zbl 1056.74524 Spencer, A. J. M.; Hill, James M. 4 2001 Infiltration from supply at constant water content: An integrable model. Zbl 1168.76367 Broadbridge, P.; Triadis, D.; Hill, J. M. 4 2009 The pressure distribution for symmetrical contact of circular elastic cylinders. Zbl 0727.73066 Hill, James M.; Tordesillas, Antoinette 4 1989 Kinematically determined axially-symmetric plastic flows of metals and granular materials. Zbl 0760.73020 Hill, James M.; Wu, Yong-Hong 4 1991 Plastic flows of granular materials of shear index \(n\). I: Yield functions. Zbl 0767.73021 Hill, James M.; Wu, Yong-Hong 4 1993 Ion selectivity using membranes comprising functionalized carbon nanotubes. Zbl 1320.92085 Chan, Yue; Hill, James M. 4 2013 Special relativity, de Broglie waves, dark energy and quantum mechanics. Zbl 1429.83001 Hill, James M. 4 2019 Determination of join regions between carbon nanostructures using variational calculus. Zbl 1277.49026 Baowan, D.; Cox, B. J.; Hill, J. M. 4 2013 Modelling joining of various carbon nanostructures using calculus of variations. Zbl 1447.82040 Alshammari, N. A.; Thamwattana, N.; McCoy, J. A.; Baowan, D.; Cox, B. J.; Hill, J. M. 4 2018 Large elastic compression of finite rectangular blocks of rubber. Zbl 0682.73031 Hill, James M.; Lee, Alexander I. 3 1989 Continuous versus discrete for interacting carbon nanostructures. Zbl 1110.82039 Hilder, Tamsyn A.; Hill, James M. 3 2007 Effect of slip on the linear stability of flow through a tube. Zbl 1138.76038 Matthews, Miccal T.; Hill, James M. 3 2008 A note on an alternative derivation of random walk probabilities. Zbl 0522.60075 Gulati, Chandra M.; Hill, James M. 3 1981 Modelling the joining of nanocones and nanotubes. Zbl 1207.92052 Baowan, Duangkamon; Cox, Barry J.; Hill, James M. 3 2011 Some symmetrical cavity problems for a hypoplastic granular material. Zbl 0999.74040 Hill, James M. 3 2000 Symmetry reductions of equations for solute transport in soil. Zbl 0953.35008 Broadbridge, P.; Hill, J. M.; Goard, J. M. 3 2000 An exact parametric solution for granular flow in a converging wedge. Zbl 0974.74015 Hill, James M.; Cox, Grant M. 3 2001 Similarity ‘hot-spot’ solutions for a hypoplastic granular material. Zbl 1049.74529 Hill, J. M. 3 2000 Modeling the join curve between two co-axial carbon nanotubes. Zbl 1357.82077 Baowan, Duangkamon; Cox, Barry J.; Hill, James M. 3 2012 Finite elastic non-symmetrical inflation and eversion of circular cylindrical rubber tubes. Zbl 0937.74011 Hill, James M.; Milan, Anna M. 3 1999 Almost-convergent double sequences. Zbl 0136.35803 Hill, J. D. 3 1965 Some partial solutions of finite elasticity. Zbl 0239.73039 Hill, James Murray 3 1972 Notes on a paper by C. Chan and D. E. Carlson, ’Second-order incompressible elastic torsion’. Zbl 0292.73021 Hill, James M. 3 1973 Buckling of long thick-walled circular cylindrical shells of isotropic incompressible hyperelastic materials under uniform external pressure. Zbl 0312.73055 Hill, J. M. 3 1975 The random walk associated with the game of roulette. Zbl 0475.60053 Hill, James M.; Gulati, Chandra M. 3 1981 Integral formulations and bounds for two phase Stefan problems initially not at their fusion temperature. Zbl 0594.73003 Dewynne, J. N.; Hill, J. M. 3 1986 Some integrable and exact similarity solutions for plane finite elastic deformations. Zbl 0696.73025 Hill, James M. 3 1990 Some axially symmetric flows of Mohr-Coulomb compressible granular materials. Zbl 0772.73026 Hill, James M.; Wu, Yong-Hong 3 1992 Plastic flows of granular materials of shear index \(n\). II: Plane and axially symmetric problems for \(n=2\). Zbl 0767.73022 Hill, James M.; Wu, Yong-Hong 3 1993 Small deformations superimposed upon the symmetrical expansion of a spherical shell. Zbl 1031.74516 Hill, James M.; Arrigo, Daniel J. 3 1996 Generalized shear deformations for isotropic incompressible hyperelastic materials. Zbl 0385.73035 Hill, James M. 3 1977 A mechanical model for dark matter and dark energy. Zbl 1466.83039 Hill, James M. 1 2021 Four states of matter and centrally symmetric de Broglie particle-wave mechanical systems. Zbl 07357402 Hill, James M. 1 2021 A review of de Broglie particle-wave mechanical systems. Zbl 07259256 Hill, James M. 2 2020 Some further comments on special relativity and dark energy. Zbl 1408.83006 Hill, James M. 5 2019 Special relativity, de Broglie waves, dark energy and quantum mechanics. Zbl 1429.83001 Hill, James M. 4 2019 On the formal origins of dark energy. Zbl 1401.83001 Hill, James M. 7 2018 Modelling joining of various carbon nanostructures using calculus of variations. Zbl 1447.82040 Alshammari, N. A.; Thamwattana, N.; McCoy, J. A.; Baowan, D.; Cox, B. J.; Hill, J. M. 4 2018 On the energy integral for first post-Newtonian approximation. Zbl 1396.83008 O’Leary, Joseph; Hill, James M.; Bennett, James C. 1 2018 Suction energy for double-stranded DNA inside single-walled carbon nanotubes. Zbl 1422.92196 Alshehri, Mansoor H.; Hill, James M. 1 2017 Energy behaviour for DNA translocation through graphene nanopores. Zbl 1343.92373 Alshehri, Mansoor H.; Cox, Barry J.; Hill, James M. 1 2015 Carbon nanotori and nanotubes encapsulating carbon atomic-chains. Zbl 1303.82040 Sumetpipat, Kanes; Lee, Richard K. F.; Cox, Barry J.; Hill, James M.; Baowan, Duangkamon 2 2014 Dual universe and hyperboloidal relative velocity surface arising from extended special relativity. Zbl 1305.83015 Hill, James M.; Cox, Barry J. 1 2014 Ion selectivity using membranes comprising functionalized carbon nanotubes. Zbl 1320.92085 Chan, Yue; Hill, James M. 4 2013 Determination of join regions between carbon nanostructures using variational calculus. Zbl 1277.49026 Baowan, D.; Cox, B. J.; Hill, J. M. 4 2013 Modelling interaction between ammonia and nitric oxide molecules and aquaporins. Zbl 1320.92086 Garalleh, Hakim Al; Thamwattana, Ngamta; Cox, Barry J.; Hill, James M. 1 2013 Einstein’s special relativity beyond the speed of light. Zbl 1371.83009 Hill, James M.; Cox, Barry J. 14 2012 Modeling the join curve between two co-axial carbon nanotubes. Zbl 1357.82077 Baowan, Duangkamon; Cox, Barry J.; Hill, James M. 3 2012 General formulae for interacting spherical nanoparticles and fullerenes. Zbl 1401.92238 Lee, Richard K. F.; Hill, James M. 1 2012 Axial buckling of multi-walled carbon nanotubes and nanopeapods. Zbl 1278.74061 Chan, Yue; Thamwattana, Ngamta; Hill, James M. 6 2011 Modelling the joining of nanocones and nanotubes. Zbl 1207.92052 Baowan, Duangkamon; Cox, Barry J.; Hill, James M. 3 2011 Dynamics of benzene molecules situated in metal-organic frameworks. Zbl 1303.92148 Chan, Yue; Hill, James M. 2 2011 Geometric polyhedral models for nanotubes comprising hexagonal lattices. Zbl 1220.82191 Cox, Barry J.; Hill, James M. 1 2011 Carbon nanotube oscillators for applications as nanothermometers. Zbl 1202.82098 Rahmat, Fainida; Thamwattana, Ngamta; Hill, James M. 1 2010 A review of mathematical and mechanical modelling in nanotechnology. Zbl 1257.74121 Thamwattana, N.; Hill, J. M.; Baowan, D.; Cox, B. J. 1 2010 Micro/nanoparticle melting with spherical symmetry and surface tension. Zbl 1169.80302 McCue, Scott W.; Wu, Bisheng; Hill, James M. 8 2009 Single phase limit for melting nanoparticles. Zbl 1185.82079 Wu, Bisheng; Mccue, Scott W.; Tillman, Pei; Hill, James M. 7 2009 An exact polyhedral model for boron nanotubes. Zbl 1156.82025 Lee, Richard K. F.; Cox, Barry J.; Hill, James M. 5 2009 Infiltration from supply at constant water content: An integrable model. Zbl 1168.76367 Broadbridge, P.; Triadis, D.; Hill, J. M. 4 2009 Spiral motion of carbon atoms and \(C_{60}\) fullerenes inside single-walled carbon nanotubes. Zbl 1274.74030 Chan, Y.; Thamwattana, N.; Hill, James M. 3 2009 Mechanics of nanoscale orbiting systems. Zbl 1197.92063 Chan, Yue; Thamwattana, Ngamta; Cox, Grant M.; Hill, James M. 1 2009 Asymptotic analysis of the viscous micro/nano pump at low Reynolds number. Zbl 1163.76015 Matthews, Miccal T.; Hill, James M. 1 2009 Classical two-phase Stefan problem for spheres. Zbl 1145.80303 McCue, Scott W.; Wu, Bisheng; Hill, James M. 23 2008 Energy density functions for protein structures. Zbl 1147.74036 Thamwattana, Ngamta; McCoy, James A.; Hill, James M. 13 2008 A note on the boundary layer equations with linear slip boundary condition. Zbl 1148.76019 Matthews, Miccal T.; Hill, James M. 13 2008 A variational approach to the perpendicular joining of nanotubes to plane sheets. Zbl 1137.82339 Cox, Barry J.; Hill, James M. 10 2008 Mechanics of nanotubes oscillating in carbon nanotube bundles. Zbl 1139.74025 Cox, Barry J.; Thamwattana, Ngamta; Hill, James M. 4 2008 Effect of slip on the linear stability of flow through a tube. Zbl 1138.76038 Matthews, Miccal T.; Hill, James M. 3 2008 Lie group symmetry analysis of transport in porous media with variable transmissivity. Zbl 1154.35005 Edwards, M. P.; Hill, James M.; Selvadurai, A. P. S. 2 2008 Orientation of spheroidal fullerenes inside carbon nanotubes with potential applications as memory devices in nano-computing. Zbl 1144.82083 Cox, Barry J.; Thamwattana, Ngamta; Hill, James M. 1 2008 Equilibrium locations for nested carbon nanocones. Zbl 1217.74053 Baowan, Duangkamon; Hill, James M. 1 2008 Mechanics of atoms and fullerenes in single-walled carbon nanotubes. I: Acceptance and suction energies. Zbl 1131.81322 Cox, Barry J.; Thamwattana, Ngamta; Hill, James M. 30 2007 Mechanics of atoms and fullerenes in single-walled carbon nanotubes. II: Oscillatory behaviour. Zbl 1131.81323 Cox, Barry J.; Thamwattana, Ngamta; Hill, James M. 22 2007 Newtonian flow with nonlinear Navier boundary condition. Zbl 1117.76024 Matthews, M. T.; Hill, J. M. 21 2007 Nano boundary layer equation with nonlinear Navier boundary condition. Zbl 1207.76050 Matthews, Miccal T.; Hill, James M. 13 2007 Force distribution for double-walled carbon nanotubes and gigahertz oscillators. Zbl 1211.81103 Baowan, Duangkamon; Hill, James M. 9 2007 Micro/nano thermal boundary layer equations with slip-creep-jump boundary conditions. Zbl 1388.76055 Matthews, Miccal T.; Hill, James M. 8 2007 Continuous versus discrete for interacting carbon nanostructures. Zbl 1110.82039 Hilder, Tamsyn A.; Hill, James M. 3 2007 Mechanics of spheroidal fullerenes and carbon nanotubes for drug and gene delivery. Zbl 1118.74037 Cox, Barry J.; Thamwattana, Ngamta; Hill, James M. 2 2007 Zigzag and spiral configurations for fullerenes in carbon nanotubes. Zbl 1141.82355 Baowan, Duangkamon; Thamwattana, Ngamta; Hill, James M. 2 2007 Solving Ramanujan’s differential equations for Eisenstein series via a first order Riccati equation. Zbl 1145.11035 Hill, James M.; Berndt, Bruce C.; Huber, Tim 2 2007 Wave-like deformations for oscillating carbon nanotubes. Zbl 1167.74466 Baowan, Duangkamon; Hill, James M. 2 2007 A finite element method for granular flow through a frictional boundary. Zbl 1110.35091 Wu, Yong-Hong; Hill, James M.; Yu, Aibing 2 2007 Mechanics of fullerenes oscillating in carbon nanotube bundles. Zbl 1155.82338 Cox, Barry J.; Thamwattana, Ngamta; Hill, James M. 2 2007 Asymptotic axially symmetric deformations for perfectly elastic neo-Hookean and Mooney materials. Zbl 1168.74014 Hill, James M.; Padukka, Nilmini; Dai, Hui-Hui 1 2007 Flow around nanospheres and nanocylinders. Zbl 1100.76017 Matthews, Miccal T.; Hill, James M. 17 2006 Micro/nano sliding plate problem with Navier boundary condition. Zbl 1142.76360 Matthews, Miccal T.; Hill, James M. 6 2006 On an infinite integral arising in the numerical integration of stochastic differential equations. Zbl 1145.65300 Stump, David M.; Hill, James M. 7 2005 On some integrals involving functions \(\varphi(x)\) such that \(\varphi(1/x)=\sqrt x\varphi(x)\). Zbl 1114.33028 Hill, James M. 2 2005 Free surface problems for static Coloumb-Mohr granular solids. Zbl 1138.74014 McCue, Scott W.; Hill, James M. 1 2005 Perturbation solutions for highly frictional granular media. Zbl 1145.76462 Thamwattana, Ngamta; Hill, James M. 1 2005 New stress and velocity fields for highly frictional granular materials. Zbl 1151.74331 McCue, Scott W.; Johnpillai, I. Kenneth; Hill, James M. 1 2005 Mathematics and mechanics of granular materials. Zbl 1127.74010 Hill, J. M.; Selvadurai, A. P. S. 1 2005 Curve fitting, differential equations and the Riemann hypothesis. Zbl 1097.11039 Hill, James M. 1 2005 Some exact velocity profiles for granular flow in converging hoppers. Zbl 1181.76143 Cox, Grant M.; Hill, James M. 1 2005 New families of exact nonlinear waves for the neo-Hookean finite elastic solid. Zbl 1050.74026 Hill, James M.; Wegner, J. L. 1 2004 The double-diffusivity heat transfer model for grain stores incorporating microwave heating. Zbl 1043.80001 Antic, Alexsandar; Hill, James M. 6 2003 Some exact mathematical solutions for granular stock piles and granular flow in hoppers. Zbl 1084.74015 Cox, Grant M.; Hill, James M. 2 2003 Analytical stress and velocity fields for gravity flows of highly frictional granular materials. Zbl 1064.74047 Thamwattana, N.; Hill, J. M. 1 2003 The impact of finite precision arithmetic and sensitivity on the numerical solution of partial differential equations. Zbl 1060.65116 Allen, E.; Burns, J.; Gilliam, D.; Hill, Joe D.; Shubov, V. 6 2002 Nonlinear plane waves in finite deformable infinite Mooney elastic materials. Zbl 1089.74588 Hill, James M.; Dai, Hui-Hui 2 2002 Rat-hole stress profiles for shear-index granular materials. Zbl 1153.74311 Hill, J. M.; Cox, G. M. 1 2002 On the problem of the determination of force distributions in granular heaps using continuum theory. Zbl 1084.74016 Hill, James M.; Cox, Grant M. 1 2002 Exact integrals and solutions for finite deformations of the incompressible Varga elastic materials. Zbl 1008.74012 Hill, J. M. 9 2001 A review of partial solutions of finite elasticity and their applications. Zbl 1345.74010 Hill, James M. 7 2001 Finite elastic plane strain bending of sectors of circular cylindrical tubes. Zbl 1210.74023 Hill, James M.; Milan, Anna M. 4 2001 Non-dilatant double-shearing theory applied to granular funnel-flow in hoppers. Zbl 1056.74524 Spencer, A. J. M.; Hill, James M. 4 2001 An exact parametric solution for granular flow in a converging wedge. Zbl 0974.74015 Hill, James M.; Cox, Grant M. 3 2001 Stress profiles for tapered cylindrical cavities in granular media. Zbl 1013.74013 Hill, James M.; Cox, Grant M. 2 2001 Dynamics of an elastic ball bouncing on an oscillating plane and the oscillon. Zbl 0986.74019 Hill, James M.; Jennings, Michael J.; To, Dong Vu; Williams, Kiren A. 5 2000 Some symmetrical cavity problems for a hypoplastic granular material. Zbl 0999.74040 Hill, James M. 3 2000 Symmetry reductions of equations for solute transport in soil. Zbl 0953.35008 Broadbridge, P.; Hill, J. M.; Goard, J. M. 3 2000 Similarity ‘hot-spot’ solutions for a hypoplastic granular material. Zbl 1049.74529 Hill, J. M. 3 2000 Cylindrical cavities and classical rat-hole theory occuring in bulk materials. Zbl 0969.74043 Hill, James M.; Cox, Grant M. 2 2000 Stick-slip motion for two coupled masses with side friction. Zbl 1068.70514 Wikieł, B.; Hill, J. M. 2 2000 Finite elastic eversion of a thick-walled incompressible spherical cap. Zbl 1008.74013 Hill, J. M. 1 2000 A mathematical model for heat transfer in grain store microclimates. Zbl 0989.80008 Antic, Alexsandar; Hill, James M. 1 2000 Transformations and equation reductions in finite elasticity. IV: Illustration of the general integral for a plane strain similarity deformation. Zbl 1072.74510 Hill, James M.; Cox, Grant M. 1 2000 Analysis of flux flow and the formation of oscillation marks in the continuous caster. Zbl 0964.76020 Hill, James M.; Wu, Yong Hong; Wiwatanapataphee, Benchawan 4 1999 Transformations and equation reductions in finite elasticity. III: A general integral for plane strain deformations. Zbl 1001.74533 Hill, James M.; Arrigo, Daniel J. 4 1999 Finite elastic non-symmetrical inflation and eversion of circular cylindrical rubber tubes. Zbl 0937.74011 Hill, James M.; Milan, Anna M. 3 1999 On the general structure of small on large problems for elastic deformations of Varga materials. I: Plane strain deformations. Zbl 0990.74011 Hill, James M.; Arrigo, Daniel J. 2 1999 Some dynamic shear flow problems for granular materials. Zbl 0929.74022 Hill, James M.; Spencer, A. J. M. 2 1999 On the general structure of small on large problems for elastic deformations of Varga materials. II: Axially symmetric deformations. Zbl 0990.74012 Hill, J. M.; Arrigo, D. J. 1 1999 Pseudo-steady-state solutions for solidification in a wedge. Zbl 0913.35157 Hoang, Ha V.; Hill, James M.; Dewynne, J. N. 2 1998 On a class of linearizable Monge-Ampère equations. Zbl 0949.35049 Arrigo, D. J.; Hill, J. M. 1 1998 Molecular dynamics simulation of granular flows: Slip along rough inclined planes. Zbl 0918.73325 Zheng, X. M.; Hill, J. M. 1 1998 The velocity equations for dilatant granular flow and a new exact solution. Zbl 0896.73005 Hill, James M.; Katoanga, Tui L. 2 1997 Transformations and equation reductions in finite elasticity. I: Plane strain deformations. Zbl 1001.74517 Hill, James M.; Arrigo, Daniel J. 12 1996 Transformations and equation reductions in finite elasticity. II: Plane stress and axially symmetric deformations. Zbl 1001.74519 Arrigo, Daniel J.; Hill, James M. 11 1996 Modelling microwave heating. Zbl 0852.73007 Hill, James M.; Marchant, Timothy R. 4 1996 ...and 86 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 829 Authors 88 Hill, James Murray 18 Baowan, Duangkamon 17 Thamwattana, Ngamta 16 Broadbridge, Philip 14 McCue, Scott William 13 Cox, Barry James 12 Arrigo, Daniel J. 11 Sophocleous, Christodoulos 8 Bradshaw-Hajek, Bronwyn H. 8 Chan, Yue 8 Cherniha, Roman M. 7 Abd-el-Malek, Mina B. 7 Cox, Grant M. 7 Goard, Joanna M. 7 Hassan, Hossam S. 7 Horgan, Cornelius Oliver 7 Marchant, Timothy R. 7 Nucci, Maria Clara 7 Popovych, Roman O. 7 Qu, Changzheng 7 Saccomandi, Giuseppe 7 Simpson, Matthew J. 7 Vynnycky, Michael 7 Wu, Yonghong 6 Badran, Nagwa A. 6 Clarkson, Peter A. 6 Jódar Sanchez, Lucas Antonio 6 Momoniat, Ebrahim 6 Murphy, Jeremiah G. 6 van Gorder, Robert Ashton 5 El-Hachem, Maud 5 King, John Robert 5 Matthews, Miccal T. 5 Moitsheki, Raseelo J. 4 Aifantis, Elias C. 4 Alshammari, Nawa Awad 4 Briozzo, Adriana C. 4 Crane, Lawrence John 4 Dasgupta, Anirvan 4 Davydovych, Vasyl V. 4 Destrade, Michel 4 Edwards, Maureen P. 4 Estévez, Pilar G. 4 Gandarias Núñez, Maria Luz 4 Gnann, Manuel V. 4 Ji, Lina 4 Kuznetsov, Dmitriĭ Feliksovich 4 McVeigh, A. G. 4 Mitchell, Sarah L. 4 Rogers, Colin 4 Vajravelu, Kuppalapalle 4 Vakhnenko, Oleksiy O. 4 Wiwatanapataphee, Benchawan 3 Al Garalleh, Hakim 3 Bernis, Francisco 3 Boutros, Youssef Zaki 3 Boyko, Vyacheslav M. 3 Bruzón, Maria Santos 3 Calvo Schwarzwälder, Marc 3 Dewynne, Jeffrey N. 3 Gorgone, Matteo 3 Head, A. K. 3 Hill, Desmond L. 3 Huang, Dingjiang 3 Jia, Huabing 3 Kumar, Rajneesh 3 Lee, Alexander I. 3 Lee, Richard K. F. 3 Moroney, Timothy J. 3 Myers, Timothy G. 3 Navarro, Enrique A. 3 Oliveri, Francesco 3 Please, Colin Peter 3 Pucci, Edvige 3 Roychowdhury, Soham 3 Selvadurai, A. Patrick S. 3 Sherief, Hany H. 3 Vaneeva, Olena O. 3 Wrobel, Luiz Carlos 3 Wu, Bisheng 2 Abbas, Heba H. 2 Abdullah, Shahrir 2 Aksan, E. Nesligül 2 Allam, Allam A. 2 Anderssen, Robert Scott 2 Baaser, Herbert 2 Back, Julian Michael 2 Barros, Manuel 2 Belmiloudi, Aziz 2 Bluman, George Wallace 2 Carlen, Eric Anders 2 Ceretani, Andrea N. 2 Chaolu, Temuer 2 Cheng, Changjun 2 Consul, Prem C. 2 Dal Passo, Roberta 2 Devi, Preeti 2 Ding, Zhonghai 2 Ferrández, Angel 2 Font, Francesc ...and 729 more Authors all top 5 Cited in 174 Serials 36 Journal of Mathematical Analysis and Applications 31 ZAMP. Zeitschrift für angewandte Mathematik und Physik 25 Applied Mathematical Modelling 23 Journal of Mathematical Chemistry 21 Journal of Elasticity 20 Acta Mechanica 19 Applied Mathematics and Computation 18 Journal of Engineering Mathematics 17 Mathematics and Mechanics of Solids 16 Mathematical and Computer Modelling 15 International Journal of Engineering Science 13 Journal of Mathematical Physics 12 Communications in Nonlinear Science and Numerical Simulation 10 Journal of Computational and Applied Mathematics 10 Journal of Nonlinear Mathematical Physics 8 Meccanica 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Applied Mathematics Letters 8 Mathematical Problems in Engineering 8 Proceedings of the Royal Society of London. Series A. 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Seriya Fiziko-Matematicheskie Nauki 2 Arabian Journal of Mathematics 2 Journal of Elliptic and Parabolic Equations 2 Applied Mathematics and Nonlinear Sciences 1 Modern Physics Letters B 1 International Journal of Modern Physics A 1 Advances in Applied Probability 1 Archives of Mechanics 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 International Journal of Mathematical Education in Science and Technology 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 International Journal for Numerical Methods in Fluids 1 Journal of Applied Mathematics and Mechanics 1 Journal of Statistical Physics 1 Nonlinearity 1 Physics of Fluids 1 Theoretical and Mathematical Physics 1 Ukrainian Mathematical Journal ...and 74 more Serials all top 5 Cited in 42 Fields 270 Partial differential equations (35-XX) 157 Mechanics of deformable solids (74-XX) 157 Fluid mechanics (76-XX) 90 Classical thermodynamics, heat transfer (80-XX) 75 Numerical analysis (65-XX) 69 Biology and other natural sciences (92-XX) 43 Global analysis, analysis on manifolds (58-XX) 42 Statistical mechanics, structure of matter (82-XX) 35 Ordinary differential equations (34-XX) 25 Dynamical systems and ergodic theory (37-XX) 18 Probability theory and stochastic processes (60-XX) 16 Relativity and gravitational theory (83-XX) 12 Quantum theory (81-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 11 Mechanics of particles and systems (70-XX) 11 Optics, electromagnetic theory (78-XX) 10 Topological groups, Lie groups (22-XX) 8 Special functions (33-XX) 8 Differential geometry (53-XX) 7 Computer science (68-XX) 5 Number theory (11-XX) 4 Difference and functional equations (39-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Integral equations (45-XX) 4 Statistics (62-XX) 4 Systems theory; control (93-XX) 3 Geophysics (86-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Mathematical logic and foundations (03-XX) 2 Nonassociative rings and algebras (17-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Astronomy and astrophysics (85-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year