Edit Profile (opens in new tab) Hill, Antony A. Compute Distance To: Compute Author ID: hill.antony-a Published as: Hill, Antony A.; Hill, A. A. Documents Indexed: 35 Publications since 1987 Co-Authors: 11 Co-Authors with 23 Joint Publications 320 Co-Co-Authors all top 5 Co-Authors 10 single-authored 8 Capone, Florinda 8 Gentile, Maurizio 6 Straughan, Brian 3 Matta, Anjanna 2 Carr, Magda 2 Malashetty, M. S. 1 Rajagopal, Kumbakonam Ramamani 1 Rionero, Salvatore 1 Swamy, Mahantesh S. 1 Vergori, Luigi 1 Wicks, Thomas J. 1 Willmott, Andrew J. all top 5 Serials 7 Acta Mechanica 7 Continuum Mechanics and Thermodynamics 5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 IMA Journal of Applied Mathematics 2 International Journal of Heat and Mass Transfer 2 Mathematical Methods in the Applied Sciences 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Computational and Applied Mathematics 1 Mechanics Research Communications 1 Ricerche di Matematica 1 Acta Applicandae Mathematicae all top 5 Fields 34 Fluid mechanics (76-XX) 13 Classical thermodynamics, heat transfer (80-XX) 2 Partial differential equations (35-XX) 2 Numerical analysis (65-XX) 2 Optics, electromagnetic theory (78-XX) 1 Ordinary differential equations (34-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 258 times in 129 Documents Cited by ▼ Year ▼ Double-diffusive penetrative convection simulated via internal heating in an anisotropic porous layer with throughflow. Zbl 1211.80006Capone, F.; Gentile, M.; Hill, A. A. 26 2011 Poiseuille flow in a fluid overlying a porous medium. Zbl 1151.76454Hill, Antony A.; Straughan, Brian 23 2008 Anisotropy and symmetry in porous medium convection. Zbl 1184.76663Capone, Florinda; Gentile, M.; Hill, A. A. 22 2009 Double-diffusive convection in a porous medium with a concentration based internal heat source. Zbl 1145.76441Hill, Antony A. 20 2005 Global stability for penetrative convection with throughflow in a porous material. Zbl 1129.76022Hill, A. A.; Rionero, S.; Straughan, B. 20 2007 Penetrative convection via internal heating in anisotropic porous media. Zbl 1272.76115Capone, F.; Gentile, M.; Hill, A. A. 14 2010 Penetrative convection in a fluid layer with throughflow. Zbl 1232.76018Capone, Florinda; Gentile, Maurizio; Hill, Antony A. 14 2008 Penetrative convection in anisotropic porous media with variable permeability. Zbl 1398.76214Capone, F.; Gentile, M.; Hill, A. A. 14 2011 Global stability for thermal convection in a fluid overlying a highly porous material. Zbl 1186.76647Hill, Antony A.; Straughan, Brian 13 2009 An operative method to obtain sharp nonlinear stability for systems with spatially dependent coefficients. Zbl 1364.76213Hill, Antony A.; Malashetty, M. S. 8 2012 A differential constraint approach to obtain global stability for radiation-induced double-diffusive convection in a porous medium. Zbl 1161.76472Hill, Antony A. 8 2009 Convection problems in anisotropic porous media with nonhomogeneous porosity and thermal diffusivity. Zbl 1458.74038Capone, Florinda; Gentile, Maurizio; Hill, Antony A. 7 2012 Stability of Poiseuille flow in a porous medium. Zbl 1374.76070Hill, Antony A.; Straughan, Brian 6 2010 Sharp global nonlinear stability for a fluid overlying a highly porous material. Zbl 1195.76380Hill, Antony A.; Carr, Magda 6 2010 Unconditional nonlinear stability for convection in a porous medium with vertical throughflow. Zbl 1125.76027Hill, A. A. 6 2007 Nonlinear stability of the one-domain approach to modelling convection in superposed fluid and porous layers. Zbl 1211.76061Hill, Antony A.; Carr, Magda 6 2010 A Legendre spectral element method for eigenvalues in hydrodynamic stability. Zbl 1092.65065Hill, A. A.; Straughan, B. 6 2006 Convection due to the selective absorption of radiation in a porous medium. Zbl 1068.76519Hill, A. A. 6 2003 Convection induced by the selective absorption of radiation for the Brinkman model. Zbl 1100.76523Hill, A. A. 5 2004 Global stability for penetrative double-diffusive convection in a porous medium. Zbl 1155.76336Hill, A. A. 4 2008 Nonlinear thermal instability in a horizontal porous layer with an internal heat source and mass flow. Zbl 1341.76028Matta, A.; Narayana, P. A. L.; Hill, Antony A. 3 2016 Double-diffusive Hadley-Prats flow in a horizontal porous layer with a concentration based internal heat source. Zbl 1371.80020Matta, Anjanna; Narayana, P. A. L.; Hill, A. A. 3 2017 Instability of Poiseuille flow in a fluid overlying a glass bead packed porous layer. Zbl 1167.76014Hill, Antony A. 3 2009 Conditional and unconditional nonlinear stability for convection induced by absorption of radiation in a porous medium. Zbl 1066.76029Hill, A. A. 3 2004 On the stability and uniqueness of the flow of a fluid through a porous medium. Zbl 1435.76073Hill, A. A.; Rajagopal, K. R.; Vergori, Luigi 3 2016 The influence of variable permeability and thermal diffusivity on the onset of penetrative convection in porous media. Zbl 1426.76157Capone, F.; Gentile, M.; Hill, Antony A. 2 2010 Stability of double-diffusive convection induced by selective absorption of radiation in a fluid layer. Zbl 1342.76054Wicks, Thomas J.; Hill, Antony A. 2 2012 Penetrative convection in anisotropic porous media with variable permeability. Zbl 1426.76684Capone, F.; Gentile, M.; Hill, Antony A. 1 2010 Linear and nonlinear stability thresholds for thermal convection in a box. Zbl 1104.76050Hill, A. A.; Straughan, B. 1 2006 Thermo-convective carbon sequestration in horizontal porous layers. Zbl 1471.76031Gautam, K.; Narayana, P. A. L.; Hill, A. A. 1 2019 Double diffusive convection in a viscoelastic fluid-saturated porous layer using a thermal non-equilibrium model. Zbl 1336.76015Malashetty, M. S.; Hill, A. A.; Swamy, Mahantesh 1 2012 Double-diffusive convection in an inclined porous layer with a concentration-based internal heat source. Zbl 1392.76086Matta, Anjanna; Hill, Antony A. 1 2018 Thermo-convective carbon sequestration in horizontal porous layers. Zbl 1471.76031Gautam, K.; Narayana, P. A. L.; Hill, A. A. 1 2019 Double-diffusive convection in an inclined porous layer with a concentration-based internal heat source. Zbl 1392.76086Matta, Anjanna; Hill, Antony A. 1 2018 Double-diffusive Hadley-Prats flow in a horizontal porous layer with a concentration based internal heat source. Zbl 1371.80020Matta, Anjanna; Narayana, P. A. L.; Hill, A. A. 3 2017 Nonlinear thermal instability in a horizontal porous layer with an internal heat source and mass flow. Zbl 1341.76028Matta, A.; Narayana, P. A. L.; Hill, Antony A. 3 2016 On the stability and uniqueness of the flow of a fluid through a porous medium. Zbl 1435.76073Hill, A. A.; Rajagopal, K. R.; Vergori, Luigi 3 2016 An operative method to obtain sharp nonlinear stability for systems with spatially dependent coefficients. Zbl 1364.76213Hill, Antony A.; Malashetty, M. S. 8 2012 Convection problems in anisotropic porous media with nonhomogeneous porosity and thermal diffusivity. Zbl 1458.74038Capone, Florinda; Gentile, Maurizio; Hill, Antony A. 7 2012 Stability of double-diffusive convection induced by selective absorption of radiation in a fluid layer. Zbl 1342.76054Wicks, Thomas J.; Hill, Antony A. 2 2012 Double diffusive convection in a viscoelastic fluid-saturated porous layer using a thermal non-equilibrium model. Zbl 1336.76015Malashetty, M. S.; Hill, A. A.; Swamy, Mahantesh 1 2012 Double-diffusive penetrative convection simulated via internal heating in an anisotropic porous layer with throughflow. Zbl 1211.80006Capone, F.; Gentile, M.; Hill, A. A. 26 2011 Penetrative convection in anisotropic porous media with variable permeability. Zbl 1398.76214Capone, F.; Gentile, M.; Hill, A. A. 14 2011 Penetrative convection via internal heating in anisotropic porous media. Zbl 1272.76115Capone, F.; Gentile, M.; Hill, A. A. 14 2010 Stability of Poiseuille flow in a porous medium. Zbl 1374.76070Hill, Antony A.; Straughan, Brian 6 2010 Sharp global nonlinear stability for a fluid overlying a highly porous material. Zbl 1195.76380Hill, Antony A.; Carr, Magda 6 2010 Nonlinear stability of the one-domain approach to modelling convection in superposed fluid and porous layers. Zbl 1211.76061Hill, Antony A.; Carr, Magda 6 2010 The influence of variable permeability and thermal diffusivity on the onset of penetrative convection in porous media. Zbl 1426.76157Capone, F.; Gentile, M.; Hill, Antony A. 2 2010 Penetrative convection in anisotropic porous media with variable permeability. Zbl 1426.76684Capone, F.; Gentile, M.; Hill, Antony A. 1 2010 Anisotropy and symmetry in porous medium convection. Zbl 1184.76663Capone, Florinda; Gentile, M.; Hill, A. A. 22 2009 Global stability for thermal convection in a fluid overlying a highly porous material. Zbl 1186.76647Hill, Antony A.; Straughan, Brian 13 2009 A differential constraint approach to obtain global stability for radiation-induced double-diffusive convection in a porous medium. Zbl 1161.76472Hill, Antony A. 8 2009 Instability of Poiseuille flow in a fluid overlying a glass bead packed porous layer. Zbl 1167.76014Hill, Antony A. 3 2009 Poiseuille flow in a fluid overlying a porous medium. Zbl 1151.76454Hill, Antony A.; Straughan, Brian 23 2008 Penetrative convection in a fluid layer with throughflow. Zbl 1232.76018Capone, Florinda; Gentile, Maurizio; Hill, Antony A. 14 2008 Global stability for penetrative double-diffusive convection in a porous medium. Zbl 1155.76336Hill, A. A. 4 2008 Global stability for penetrative convection with throughflow in a porous material. Zbl 1129.76022Hill, A. A.; Rionero, S.; Straughan, B. 20 2007 Unconditional nonlinear stability for convection in a porous medium with vertical throughflow. Zbl 1125.76027Hill, A. A. 6 2007 A Legendre spectral element method for eigenvalues in hydrodynamic stability. Zbl 1092.65065Hill, A. A.; Straughan, B. 6 2006 Linear and nonlinear stability thresholds for thermal convection in a box. Zbl 1104.76050Hill, A. A.; Straughan, B. 1 2006 Double-diffusive convection in a porous medium with a concentration based internal heat source. Zbl 1145.76441Hill, Antony A. 20 2005 Convection induced by the selective absorption of radiation for the Brinkman model. Zbl 1100.76523Hill, A. A. 5 2004 Conditional and unconditional nonlinear stability for convection induced by absorption of radiation in a porous medium. Zbl 1066.76029Hill, A. A. 3 2004 Convection due to the selective absorption of radiation in a porous medium. Zbl 1068.76519Hill, A. A. 6 2003 all cited Publications top 5 cited Publications all top 5 Cited by 149 Authors 18 Hill, Antony A. 17 Straughan, Brian 13 Capone, Florinda 11 Rionero, Salvatore 7 Gentile, Maurizio 6 De Luca, Roberta 5 Karmakar, Timir 5 Shivakumara, I. S. 4 Mahajan, Amit 4 Sekhar, G. P. Raja 3 Harfash, Akil Jassim 3 Malashetty, M. S. 3 Matta, Anjanna 3 Shankar, B. M. 3 Torcicollo, Isabella 3 Wang, Xiaoming 2 Bottaro, Alessandro 2 Carr, Magda 2 Chang, Min-Hsing 2 De Martino, Antonino 2 Dragomirescu, Florica-Ioana 2 Falsaperla, Paolo 2 Gheorghiu, Călin Ioan 2 Haddad, S. A. M. 2 Han, Daozhi 2 Lasseux, Didier 2 Massa, Giuliana 2 Massoudi, Mehrdad 2 Mulone, Giuseppe 2 Nandal, Reena 2 Passerini, Arianna 2 Valdés-Parada, Francisco J. 1 Alam, Meraj 1 Alì, Giuseppe 1 Antontsev, Stanislav Nikolaevich 1 Arora, Manisha 1 Aubry, Nadine 1 Badday, Alaa Jabbar 1 Bajaj, Renu 1 Basavaraj, M. S. 1 Bellet, Fabien 1 bin Sakidin, Hamzah 1 Botton, Valéry 1 Brandt, Luca 1 Breugem, Wim-Paul 1 Brindha, D. 1 Chang, Ting-Yueh 1 Chen, Falin 1 Chen, Wenbin 1 Ching, Dennis Ling Chuan 1 Clausse, Alejandro 1 Converti, J. 1 Dalponte, D. 1 De, Sirshendu 1 Diaz Diaz, Jesus Ildefonso 1 Du, Yuhang 1 Fischer, Paul F. 1 Franchi, Franca 1 Gani, S. S. A. 1 Ghosh, Souvik 1 Gianfrani, Jacopo A. 1 Giannakis, Dimitrios 1 González Granada, José Rodrigo 1 Goqo, Sicelo Praisegod 1 Gwinner, Joachim 1 Hashim, Ishak 1 Heera, Rajashekhar 1 Hooshyar, Saman 1 Huang, ZhaoQin 1 Ibrahim, Zarina Bibi Binti 1 Khalid, I. K. 1 Khan, Ilyas 1 Kolchanov, Nikolay 1 Kolchanova, Ekaterina 1 Kovtunenko, Viktor Anatolievich 1 Kumar, Gautam 1 Kumar, Jay 1 Ladopoulos, E. G. 1 Lee, Jinho 1 Li, Xiaoli 1 Loiseau, Jean-Christophe 1 Lucero, Javier 1 Luege, Mariela 1 McCurdy, Matthew 1 Miao, Ling 1 Millet, Séverine 1 Mirbod, Parisa 1 Mishra, Vishnu Narayan 1 Mokhtar, Nor Fadzillah Mohd 1 Mondal, Hiranmoy 1 Moore, Nicholas J. 1 Motsa, Sandile Sydney 1 Nanjundappa, C. E. 1 Narayana, Puranam Anantha Lakshmi 1 Nashmi, Fahad K. 1 Natalini, Roberto 1 Nibbi, Roberta 1 Olali, Princewill Baysa 1 Orlando, Antonio 1 Passarella, Francesca ...and 49 more Authors all top 5 Cited in 47 Serials 14 Acta Mechanica 11 Ricerche di Matematica 8 Journal of Fluid Mechanics 8 Applied Mathematics and Computation 7 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 6 Acta Applicandae Mathematicae 6 Continuum Mechanics and Thermodynamics 5 Meccanica 4 Journal of Engineering Mathematics 4 Mathematical Methods in the Applied Sciences 4 Physics of Fluids 3 International Journal of Engineering Science 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 AMM. Applied Mathematics and Mechanics. (English Edition) 2 International Journal of Heat and Mass Transfer 2 Applied Mathematics and Optimization 2 Journal of Scientific Computing 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 European Journal of Mechanics. B. Fluids 2 Nonlinear Analysis. Real World Applications 2 International Journal of Applied and Computational Mathematics 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Physica A 1 The Journal of the Indian Mathematical Society. New Series 1 Mechanics Research Communications 1 Numerical Functional Analysis and Optimization 1 Physica D 1 Applied Numerical Mathematics 1 Applied Mathematics Letters 1 Applied Mathematical Modelling 1 SIAM Journal on Applied Mathematics 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Fractals 1 Mathematical Problems in Engineering 1 Journal of Applied Mechanics and Technical Physics 1 Journal of Mathematical Fluid Mechanics 1 Mathematical Modelling and Analysis 1 Communications on Pure and Applied Analysis 1 Mediterranean Journal of Mathematics 1 Acta Mechanica Sinica 1 Advances in Mathematical Physics 1 Axioms 1 Evolution Equations and Control Theory 1 Bollettino dell’Unione Matematica Italiana all top 5 Cited in 17 Fields 120 Fluid mechanics (76-XX) 33 Classical thermodynamics, heat transfer (80-XX) 32 Partial differential equations (35-XX) 8 Mechanics of deformable solids (74-XX) 6 Numerical analysis (65-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-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) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Citations by Year