Edit Profile (opens in new tab) Goriely, Alain Co-Author Distance Author ID: goriely.alain Published as: Goriely, Alain; Goriely, A. External Links: MGP · ORCID · Wikidata · GND · IdRef · theses.fr Documents Indexed: 131 Publications since 1992, including 3 Books and 5 Additional arXiv Preprints 1 Contribution as Editor Reviewing Activity: 1 Review Co-Authors: 105 Co-Authors with 123 Joint Publications 1,966 Co-Co-Authors all top 5 Co-Authors 9 single-authored 20 Tabor, Michael 18 Mihai, L. Angela 15 Moulton, Derek E. 13 Yavari, Arash 10 Kuhl, Ellen 9 Woolley, Thomas E. 5 Robertson-Tessi, Mark 5 Vandiver, Rebecca M. 4 Chirat, Regis 4 Destrade, Michel 4 El-Kareh, Ardith W. 4 Fitt, Danielle 4 Lessinnes, Thomas 4 Vella, Dominic 4 Waters, Sarah Louise 3 Beers, David 3 Chapman, Stephen Jonathan 3 Erlich, Alexander 3 Goodbrake, Christian 3 Harrington, Heather A. 3 McMahon, Joseph 3 Nizette, Michel 2 Baker, Ruth Elizabeth 2 Ben Amar, Martine 2 Byrne, Helen Mary 2 Gaffney, Eamonn A. 2 Garikipati, Krishna 2 Hall, Cameron Luke 2 Hyde, Craig 2 Kwiecinski, James A. 2 Lafortune, Stéphane 2 Lang, Georgina E. 2 Majumdar, Apala 2 McMillen, Tyler 2 Oliver, James M. 2 Oliveri, Hadrien 2 Prior, Christopher B. 2 Thompson, Travis B. 2 Walker, Benjamin J. 2 Weickenmeier, Johannes 2 Wyatt, Hayley 1 Alawiye, Hamza 1 Alayyash, Khulud 1 Ambrosi, Davide 1 Angoshtari, Arzhang 1 Arruda, Ellen M. 1 Ateshian, Gerard A. 1 Audoly, Basile 1 Beauregard, Matthew A. 1 Bick, Christian 1 Bintu, B. 1 Bountis, Tassos C. 1 Brenig, Léon 1 Brun, P.-T. 1 Burlakov, Victor M. 1 Butler, C. A. M. 1 Celora, Giulia L. 1 Chouaieb, Nadia 1 Cowin, Stephen C. 1 de Pascalis, Riccardo 1 Domokos, Gábor 1 Dorfmann, Luis 1 Epstein, Marcelo 1 Fornari, Sveva 1 García-Grajales, Julián Andrés 1 Goniotaki, Despoina 1 Hanger, Diane P. 1 Hausrath, Andrew 1 Hennessy, Matthew G. 1 Holland, Maria A. 1 Holzapfel, Gerhard Alfred 1 Horváth, Ákos G. 1 Humphrey, Jay D. 1 Jérusalem, Antoine 1 Jia, Fei 1 Jones, Gareth Wyn 1 Kaczmarski, Bartosz 1 Károlyi, György 1 Kemkemer, Ralf 1 Kimpton, Laura S. 1 Kodio, Ousmane 1 Kollmann, Michael 1 Kosmata, Tim 1 Lega, Joceline C. 1 Linka, Kevin 1 Maddocks, John H. 1 Melnik, Andrey V. 1 Menzel, Andreas M. 1 Münch, Andreas 1 Napoli, Gaetano 1 Neukirch, Sébastien 1 O’Keeffe, Stephen 1 Olberding, J. E. 1 Putra, Prama 1 Rahman, Proton 1 Regős, Krisztina 1 Saccomandi, Giuseppe 1 Sadik, Souhayl 1 Sáez, Pablo 1 Schäfer, Amelie ...and 5 more Co-Authors all top 5 Serials 12 Journal of Elasticity 10 Journal of Theoretical Biology 10 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 9 Mathematics and Mechanics of Solids 9 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 8 Physica D 7 Journal of the Mechanics and Physics of Solids 7 SIAM Journal on Applied Mathematics 4 Journal of Mathematical Physics 3 Nonlinearity 3 Proceedings of the National Academy of Sciences of the United States of America 3 Journal of Nonlinear Science 3 Regular and Chaotic Dynamics 2 Computer Methods in Applied Mechanics and Engineering 2 IMA Journal of Applied Mathematics 2 Journal of Mathematical Biology 2 Physics Letters. A 2 Bulletin of Mathematical Biology 2 Nonlinear Dynamics 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Archive for Rational Mechanics and Analysis 1 International Journal of Solids and Structures 1 Quarterly Journal of Mechanics and Applied Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Differential Equations 1 Note di Matematica 1 Computational Mechanics 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 The ANZIAM Journal 1 Mathematical Medicine and Biology 1 Oberwolfach Reports 1 Advanced Series in Nonlinear Dynamics 1 Interdisciplinary Applied Mathematics 1 Journal of Biological Dynamics 1 Journal of Physics A: Mathematical and Theoretical 1 Proceedings A. Royal Society of London 1 Transactions of Mathematics and its Applications 1 Very Short Introductions all top 5 Fields 84 Mechanics of deformable solids (74-XX) 42 Biology and other natural sciences (92-XX) 12 Dynamical systems and ergodic theory (37-XX) 10 Ordinary differential equations (34-XX) 8 Partial differential equations (35-XX) 7 Differential geometry (53-XX) 5 Fluid mechanics (76-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of particles and systems (70-XX) 2 General and overarching topics; collections (00-XX) 2 Special functions (33-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 114 Publications have been cited 1,452 times in 933 Documents Cited by ▼ Year ▼ Integrability and nonintegrability of dynamical systems. Zbl 1002.34001 Goriely, Alain 140 2001 The mathematics and mechanics of biological growth. Zbl 1398.92003 Goriely, Alain 98 2017 Growth and instability in elastic tissues. Zbl 1120.74336 Ben Amar, Martine; Goriely, Alain 88 2005 Perspectives on biological growth and remodeling. Zbl 1270.74134 Ambrosi, D.; Ateshian, G. A.; Arruda, E. M.; Cowin, S. C.; Dumais, J.; Goriely, A.; Holzapfel, G. A.; Humphrey, J. D.; Kemkemer, R.; Kuhl, E.; Olberding, J. E.; Taber, L. A.; Garikipati, K. 81 2011 Riemann-Cartan geometry of nonlinear dislocation mechanics. Zbl 1281.74006 Yavari, Arash; Goriely, Alain 68 2012 Integrability, partial integrability, and nonintegrability for systems of ordinary differential equations. Zbl 0867.58036 Goriely, Alain 53 1996 A mathematical model of tumor-immune interactions. Zbl 1397.92358 Robertson-Tessi, Mark; El-Kareh, Ardith; Goriely, Alain 53 2012 Helices. Zbl 1160.74373 Chouaieb, Nadia; Goriely, Alain; Maddocks, John H. 41 2006 Towards a classification of Euler-Kirchhoff filaments. Zbl 0965.74031 Nizette, Michel; Goriely, Alain 35 1999 Nonlinear dynamics of filaments. I: Dynamical instabilities. Zbl 0962.74513 Goriely, Alain; Tabor, Michael 34 1997 Weyl geometry and the nonlinear mechanics of distributed point defects. Zbl 1371.74046 Yavari, Arash; Goriely, Alain 32 2012 Positive or negative Poynting effect? The role of adscititious inequalities in hyperelastic materials. Zbl 1243.74011 Mihai, L. Angela; Goriely, Alain 28 2011 Tendril perversion in intrinsically curved rods. Zbl 1100.74575 McMillen, T.; Goriely, A. 28 2002 Nonlinear Euler buckling. Zbl 1152.74342 Goriely, Alain; Vandiver, Rebecca; Destrade, Michel 27 2008 How to characterize a nonlinear elastic material? A review on nonlinear constitutive parameters in isotropic finite elasticity. Zbl 1404.74018 Mihai, L. Angela; Goriely, Alain 26 2017 On the dynamics of elastic strips. Zbl 1053.74026 Goriely, A.; Nizette, M.; Tabor, M. 24 2001 Circumferential buckling instability of a growing cylindrical tube. Zbl 1270.74088 Moulton, D. E.; Goriely, A. 23 2011 Nonlinear dynamics of filaments. II: Nonlinear analysis. Zbl 0962.74514 Goriely, Alain; Tabor, Michael 22 1997 Nonlinear elastic inclusions in isotropic solids. Zbl 1371.74047 Yavari, Arash; Goriely, Alain 20 2013 Riemann-Cartan geometry of nonlinear disclination mechanics. Zbl 1528.74014 Yavari, Arash; Goriely, Alain 20 2013 The nonlinear dynamics of filaments. Zbl 0985.74030 Goriely, Alain; Tabor, Michael 19 2000 Necessary and sufficient conditions for finite time singularities in ordinary differential equations. Zbl 0962.34003 Goriely, Alain; Hyde, Craig 17 2000 Rotation, inversion and perversion in anisotropic elastic cylindrical tubes and membranes. Zbl 1371.74210 Goriely, Alain; Tabor, Michael 17 2013 On the mechanical stability of growing arteries. Zbl 1425.74324 Goriely, Alain; Vandiver, Rebecca 16 2010 Nonlinear dynamics of filaments. III: Instabilities of helical rods. Zbl 0928.74052 Goriely, A.; Tabor, M. 14 1997 Finite-time blow-up in dynamical systems. Zbl 0946.34074 Goriely, Alain; Hyde, Craig 13 1998 Instabilities in elastomers and in soft tissues. Zbl 1107.74018 Goriely, A.; Destrade, M.; Ben Amar, M. 13 2006 Scalar evolution equations for shear waves in incompressible solids: a simple derivation of the Z, ZK, KZK and KP equations. Zbl 1228.74039 Destrade, Michel; Goriely, Alain; Saccomandi, Giuseppe 12 2011 Twisted elastic rings and the rediscoveries of Michell’s instability. Zbl 1098.74034 Goriely, Alain 12 2006 Investigation of Painlevé property under time singularities transformations. Zbl 0760.34010 Goriely, Alain 12 1992 The geometry of discombinations and its applications to semi-inverse problems in anelasticity. Zbl 1320.74023 Yavari, Arash; Goriely, Alain 12 2014 A geometric theory of nonlinear morphoelastic shells. Zbl 1388.74071 Sadik, Souhayl; Angoshtari, Arzhang; Goriely, Alain; Yavari, Arash 12 2016 Stochastic isotropic hyperelastic materials: constitutive calibration and model selection. Zbl 1402.74008 Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain 12 2018 Mechanical growth and morphogenesis of seashells. Zbl 1337.92024 Moulton, D. E.; Goriely, A.; Chirat, R. 11 2012 Differential growth and residual stress in cylindrical elastic structures. Zbl 1185.74070 Vandiver, Rebecca; Goriely, Alain 10 2009 A brief history of Kovalevskaya exponents and modern developments. Zbl 0947.37031 Goriely, A. 10 2000 Elastic growth models. Zbl 1382.92184 Goriely, Alain; Robertson-Tessi, Mark; Tabor, Michael; Vandiver, Rebecca 10 2008 Painlevé analysis and normal forms. Zbl 0797.34040 Brenig, L.; Goriely, A. 10 1994 A Mel’nikov vector for \(N\)-dimensional mappings. Zbl 1020.37506 Bountis, T.; Goriely, A.; Kollmann, M. 9 1995 Nonlinear dynamics of filaments. IV: Spontaneous looping of twisted elastic rods. Zbl 0941.74028 Goriely, Alain; Tabor, Michael 9 1998 Singularity confinement and algebraic integrability. Zbl 1070.37039 Lafortune, S.; Goriely, A. 9 2004 Spatially-extended nucleation-aggregation-fragmentation models for the dynamics of prion-like neurodegenerative protein-spreading in the brain and its connectome. Zbl 1429.92053 Fornari, Sveva; Schäfer, Amelie; Kuhl, Ellen; Goriely, Alain 9 2020 The singularity analysis for nearly integrable systems: homoclinic intersections and local multivaluedness. Zbl 0894.58023 Goriely, Alain; Tabor, Michael 8 1995 The anelastic Ericksen problem: universal eigenstrains and deformations in compressible isotropic elastic solids. Zbl 1371.74048 Yavari, Arash; Goriely, Alain 8 2016 Anticavitation and differential growth in elastic shells. Zbl 1273.74181 Moulton, Derek E.; Goriely, Alain 7 2011 A model for effects of adaptive immunity on tumor response to chemotherapy and chemoimmunotherapy. Zbl 1343.92243 Robertson-Tessi, Mark; El-Kareh, Ardith; Goriely, Alain 7 2015 Likely equilibria of the stochastic Rivlin cube. Zbl 1425.74233 Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain 7 2019 Dynamic fiber reorientation in a fiber-reinforced hyperelastic material. Zbl 07280066 Melnik, Andrey V.; Goriely, Alain 7 2013 Is it safe to lift COVID-19 travel bans? The Newfoundland story. Zbl 1469.92117 Linka, Kevin; Rahman, Proton; Goriely, Alain; Kuhl, Ellen 7 2020 Spontaneous cavitation in growing elastic membranes. Zbl 1197.74065 McMahon, Joseph; Goriely, Alain; Tabor, Michael 7 2010 Self-diffusion in remodeling and growth. Zbl 1320.74033 Epstein, Marcelo; Goriely, Alain 6 2012 Paws, pads and plants: the enhanced elasticity of cell-filled load-bearing structures. Zbl 1371.92030 Mihai, L. Angela; Alayyash, Khulud; Goriely, Alain 6 2015 Whip waves. Zbl 1098.74590 McMillen, Tyler; Goriely, Alain 6 2003 Surface growth kinematics via local curve evolution. Zbl 1280.92010 Moulton, Derek E.; Goriely, Alain 6 2014 Revisiting the wrinkling of elastic bilayers. I: Linear analysis. Zbl 1425.74306 Alawiye, Hamza; Kuhl, Ellen; Goriely, Alain 6 2019 On the mechanics of thin films and growing surfaces. Zbl 1528.74073 Holland, Maria A.; Kosmata, Tim; Goriely, Alain; Kuhl, Ellen 6 2013 Morphoelastic rods. II: Growing birods. Zbl 1443.74211 Lessinnes, Thomas; Moulton, Derek E.; Goriely, Alain 6 2017 Biomechanical models of hyphal growth in actinomycetes. Zbl 1464.92026 Goriely, Alain; Tabor, Michael 6 2003 On the stress singularities generated by anisotropic eigenstrains and the hydrostatic stress due to annular inhomogeneities. Zbl 1349.74154 Yavari, Arash; Goriely, Alain 5 2015 A microstructure-based hyperelastic model for open-cell solids. Zbl 1370.74008 Mihai, L. Angela; Wyatt, Hayley; Goriely, Alain 5 2017 Likely cavitation in stochastic elasticity. Zbl 1425.74084 Mihai, L. Angela; Fitt, Danielle; Woolley, Thomas E.; Goriely, Alain 5 2019 The anelastic Ericksen problem: universal deformations and universal eigenstrains in incompressible nonlinear anelasticity. Zbl 1459.74021 Goodbrake, Christian; Yavari, Arash; Goriely, Alain 5 2020 Nonlinear morphoelastic plates. I: Genesis of residual stress. Zbl 1269.74142 McMahon, Joseph; Goriely, Alain; Tabor, Michael 5 2011 The nonlinear dynamics of elastic tubes conveying a fluid. Zbl 1193.74031 Beauregard, Matthew A.; Goriely, Alain; Tabor, Michael 5 2010 Stability estimates for a twisted rod under terminal loads: a three-dimensional study. Zbl 1255.74007 Majumdar, Apala; Prior, Christopher; Goriely, Alain 5 2012 Pulses, fronts and oscillations of an elastic rod. Zbl 0942.74042 Lega, Joceline; Goriely, Alain 4 1999 Nonlinear correction to the Euler buckling formula for compressed cylinders with guided-guided end conditions. Zbl 1273.74104 De Pascalis, Riccardo; Destrade, Michel; Goriely, Alain 4 2011 Bulging brains. Zbl 1373.74076 Weickenmeier, J.; Saez, P.; Butler, C. A. M.; Young, P. G.; Goriely, A.; Kuhl, E. 4 2017 Geometric conditions for the positive definiteness of the second variation in one-dimensional problems. Zbl 1383.49031 Lessinnes, Thomas; Goriely, Alain 4 2017 Morpho-elastodynamics: the long-time dynamics of elastic growth. Zbl 1342.92035 Vandiver, Rebecca; Goriely, Alain 4 2009 Likely equilibria of stochastic hyperelastic spherical shells and tubes. Zbl 1425.74196 Mihai, L. Angela; Fitt, Danielle; Woolley, Thomas E.; Goriely, Alain 4 2019 Multiscale integration of environmental stimuli in plant tropism produces complex behaviors. Zbl 1485.92071 Moulton, Derek E.; Oliveri, Hadrien; Goriely, Alain 4 2020 Painlevé analysis and normal forms theory. Zbl 0988.34076 Goriely, Alain 3 2001 Likely striping in stochastic nematic elastomers. Zbl 07259260 Mihai, L. Angela; Goriely, Alain 3 2020 Nonlinear morphoelastic plates. II: Exodus to buckled states. Zbl 1269.74143 McMahon, Joseph; Goriely, Alain; Tabor, Michael 3 2011 The morpho-mechanical basis of ammonite form. Zbl 1405.92026 Moulton, D. E.; Goriely, A.; Chirat, Regis 3 2015 Static and dynamic stability results for a class of three-dimensional configurations of Kirchhoff elastic rods. Zbl 1284.74062 Majumdar, Apala; Goriely, Alain 3 2013 The mechanics of a chain or ring of spherical magnets. Zbl 1292.78017 Hall, Cameron L.; Vella, Dominic; Goriely, Alain 3 2013 Mathematical modelling of blood-brain barrier failure and oedema. Zbl 1418.92034 Lang, Georgina E.; Vella, Dominic; Waters, Sarah L.; Goriely, Alain 3 2017 Kovalevskaya rods and Kovalevskaya waves. Zbl 0947.74028 Goriely, A.; Nizette, M. 2 2000 Growth induced curve dynamics for filamentary micro-organisms. Zbl 1090.92014 Goriely, Alain; Károlyi, György; Tabor, Michael 2 2005 Knotted umbilical cords. Zbl 1092.92025 Goriely, Alain 2 2005 The dynamics of stretchable rods in the inertial case. Zbl 1138.74357 Lafortune, Stéphane; Goriely, Alain; Tabor, Michael 2 2006 Three mechanical models for blebbing and multi-blebbing. Zbl 1330.92020 Woolley, Thomas E.; Gaffney, Eamonn A.; Waters, Sarah L.; Oliver, James M.; Baker, Ruth E.; Goriely, Alain 2 2014 Nonlinear Poisson effects in soft honeycombs. Zbl 1348.74237 Mihai, L. Angela; Goriely, Alain 2 2014 Guaranteed upper and lower bounds on the uniform load of contact problems in elasticity. Zbl 1346.74051 Mihai, L. Angela; Goriely, Alain 2 2016 The elastic secrets of the chameleon tongue. Zbl 1371.92031 Moulton, Derek E.; Lessinnes, Thomas; O’Keeffe, Stephen; Dorfmann, Luis; Goriely, Alain 2 2016 The surprising dynamics of a chain on a pulley: lift off and snapping. Zbl 1371.70030 Brun, P.-T.; Audoly, Basile; Goriely, Alain; Vella, Dominic 2 2016 Self-assembly of a filament by curvature-inducing proteins. Zbl 1376.92019 Kwiecinski, James; Chapman, S. Jonathan; Goriely, Alain 2 2017 A pseudo-anelastic model for stress softening in liquid crystal elastomers. Zbl 1472.76004 Mihai, L. Angela; Goriely, Alain 2 2020 The universal program of nonlinear hyperelasticity. Zbl 1528.74015 Yavari, Arash; Goriely, Alain 2 2023 Universal displacements in linear elasticity. Zbl 1484.74006 Yavari, Arash; Goodbrake, Christian; Goriely, Alain 2 2020 Biomechanical model for appressorial design in Magnaporthe grisea. Zbl 1447.92037 Tongen, Anthony; Goriely, Alain; Tabor, Michael 2 2006 Likely equilibria of stochastic hyperelastic spherical shells and tubes. Zbl 07254343 Mihai, L. Angela; Fitt, Danielle; Woolley, Thomas E.; Goriely, Alain 2 2019 Continuum mechanical modeling of axonal growth. Zbl 1439.74197 García-Grajales, Julián Andrés; Jérusalem, Antoine; Goriely, Alain 2 2017 Likely cavitation and radial motion of stochastic elastic spheres. Zbl 1434.74025 Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain 2 2020 Are homeostatic states stable? Dynamical stability in morphoelasticity. Zbl 1422.92013 Erlich, Alexander; Moulton, Derek E.; Goriely, Alain 2 2019 The role of complex-time singularities in chaotic dynamics. Zbl 0982.37023 Goriely, A.; Tabor, M. 1 1998 Non-metricity and the nonlinear mechanics of distributed point defects. Zbl 1325.74020 Yavari, Arash; Goriely, Alain 1 2015 Global contraction or local growth, bleb shape depends on more than just cell structure. Zbl 1343.92140 Woolley, Thomas E.; Gaffney, Eamonn A.; Oliver, James M.; Waters, Sarah L.; Baker, Ruth E.; Goriely, Alain 1 2015 The universal program of nonlinear hyperelasticity. Zbl 1528.74015 Yavari, Arash; Goriely, Alain 2 2023 A rod theory for liquid crystalline elastomers. Zbl 1526.74040 Goriely, Alain; Moulton, Derek E.; Mihai, L. Angela 1 2023 Bayesian design optimization of biomimetic soft actuators. Zbl 07665603 Kaczmarski, Bartosz; Moulton, Derek E.; Goriely, Alain; Kuhl, Ellen 1 2023 Minimal morphoelastic models of solid tumour spheroids: a tutorial. Zbl 1512.92004 Walker, Benjamin J.; Celora, Giulia L.; Goriely, Alain; Moulton, Derek E.; Byrne, Helen M. 1 2023 A morphoelastic shell model of the eye. Zbl 1473.74097 Kimpton, L. S.; Walker, B. J.; Hall, C. L.; Bintu, B.; Crosby, D.; Byrne, H. M.; Goriely, A. 1 2021 Liquid crystal elastomers wrinkling. Zbl 1468.74036 Goriely, Alain; Mihai, L. Angela 1 2021 Spatially-extended nucleation-aggregation-fragmentation models for the dynamics of prion-like neurodegenerative protein-spreading in the brain and its connectome. Zbl 1429.92053 Fornari, Sveva; Schäfer, Amelie; Kuhl, Ellen; Goriely, Alain 9 2020 Is it safe to lift COVID-19 travel bans? The Newfoundland story. Zbl 1469.92117 Linka, Kevin; Rahman, Proton; Goriely, Alain; Kuhl, Ellen 7 2020 The anelastic Ericksen problem: universal deformations and universal eigenstrains in incompressible nonlinear anelasticity. Zbl 1459.74021 Goodbrake, Christian; Yavari, Arash; Goriely, Alain 5 2020 Multiscale integration of environmental stimuli in plant tropism produces complex behaviors. Zbl 1485.92071 Moulton, Derek E.; Oliveri, Hadrien; Goriely, Alain 4 2020 Likely striping in stochastic nematic elastomers. Zbl 07259260 Mihai, L. Angela; Goriely, Alain 3 2020 A pseudo-anelastic model for stress softening in liquid crystal elastomers. Zbl 1472.76004 Mihai, L. Angela; Goriely, Alain 2 2020 Universal displacements in linear elasticity. Zbl 1484.74006 Yavari, Arash; Goodbrake, Christian; Goriely, Alain 2 2020 Likely cavitation and radial motion of stochastic elastic spheres. Zbl 1434.74025 Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain 2 2020 The role of topology and mechanics in uniaxially growing cell networks. Zbl 1472.92111 Erlich, Alexander; Jones, Gareth W.; Tisseur, Françoise; Moulton, Derek E.; Goriely, Alain 1 2020 Likely equilibria of the stochastic Rivlin cube. Zbl 1425.74233 Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain 7 2019 Revisiting the wrinkling of elastic bilayers. I: Linear analysis. Zbl 1425.74306 Alawiye, Hamza; Kuhl, Ellen; Goriely, Alain 6 2019 Likely cavitation in stochastic elasticity. Zbl 1425.74084 Mihai, L. Angela; Fitt, Danielle; Woolley, Thomas E.; Goriely, Alain 5 2019 Likely equilibria of stochastic hyperelastic spherical shells and tubes. Zbl 1425.74196 Mihai, L. Angela; Fitt, Danielle; Woolley, Thomas E.; Goriely, Alain 4 2019 Likely equilibria of stochastic hyperelastic spherical shells and tubes. Zbl 07254343 Mihai, L. Angela; Fitt, Danielle; Woolley, Thomas E.; Goriely, Alain 2 2019 Are homeostatic states stable? Dynamical stability in morphoelasticity. Zbl 1422.92013 Erlich, Alexander; Moulton, Derek E.; Goriely, Alain 2 2019 Likely oscillatory motions of stochastic hyperelastic solids. Zbl 1490.74013 Mihai, L. Angela; Fitt, Danielle; Woolley, Thomas E.; Goriely, Alain 1 2019 Stochastic isotropic hyperelastic materials: constitutive calibration and model selection. Zbl 1402.74008 Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain 12 2018 Mechanical feedback in seashell growth and form. Zbl 1395.92019 Erlich, A.; Howell, R.; Goriely, A.; Chirat, R.; Moulton, D. E. 1 2018 The mathematics and mechanics of biological growth. Zbl 1398.92003 Goriely, Alain 98 2017 How to characterize a nonlinear elastic material? A review on nonlinear constitutive parameters in isotropic finite elasticity. Zbl 1404.74018 Mihai, L. Angela; Goriely, Alain 26 2017 Morphoelastic rods. II: Growing birods. Zbl 1443.74211 Lessinnes, Thomas; Moulton, Derek E.; Goriely, Alain 6 2017 A microstructure-based hyperelastic model for open-cell solids. Zbl 1370.74008 Mihai, L. Angela; Wyatt, Hayley; Goriely, Alain 5 2017 Bulging brains. Zbl 1373.74076 Weickenmeier, J.; Saez, P.; Butler, C. A. M.; Young, P. G.; Goriely, A.; Kuhl, E. 4 2017 Geometric conditions for the positive definiteness of the second variation in one-dimensional problems. Zbl 1383.49031 Lessinnes, Thomas; Goriely, Alain 4 2017 Mathematical modelling of blood-brain barrier failure and oedema. Zbl 1418.92034 Lang, Georgina E.; Vella, Dominic; Waters, Sarah L.; Goriely, Alain 3 2017 Self-assembly of a filament by curvature-inducing proteins. Zbl 1376.92019 Kwiecinski, James; Chapman, S. Jonathan; Goriely, Alain 2 2017 Continuum mechanical modeling of axonal growth. Zbl 1439.74197 García-Grajales, Julián Andrés; Jérusalem, Antoine; Goriely, Alain 2 2017 Axonal buckling following stretch injury. Zbl 1375.92009 Lang, Georgina E.; Waters, Sarah L.; Vella, Dominic; Goriely, Alain 1 2017 Microstructure-based hyperelastic models for closed-cell solids. Zbl 1404.74134 Mihai, L. Angela; Wyatt, Hayley; Goriely, Alain 1 2017 A tale of two nested elastic rings. Zbl 1404.74083 Napoli, G.; Goriely, A. 1 2017 A geometric theory of nonlinear morphoelastic shells. Zbl 1388.74071 Sadik, Souhayl; Angoshtari, Arzhang; Goriely, Alain; Yavari, Arash 12 2016 The anelastic Ericksen problem: universal eigenstrains and deformations in compressible isotropic elastic solids. Zbl 1371.74048 Yavari, Arash; Goriely, Alain 8 2016 Guaranteed upper and lower bounds on the uniform load of contact problems in elasticity. Zbl 1346.74051 Mihai, L. Angela; Goriely, Alain 2 2016 The elastic secrets of the chameleon tongue. Zbl 1371.92031 Moulton, Derek E.; Lessinnes, Thomas; O’Keeffe, Stephen; Dorfmann, Luis; Goriely, Alain 2 2016 The surprising dynamics of a chain on a pulley: lift off and snapping. Zbl 1371.70030 Brun, P.-T.; Audoly, Basile; Goriely, Alain; Vella, Dominic 2 2016 The mechanics of decompressive craniectomy: bulging in idealized geometries. Zbl 1482.74129 Weickenmeier, Johannes; Kuhl, Ellen; Goriely, Alain 1 2016 A model for effects of adaptive immunity on tumor response to chemotherapy and chemoimmunotherapy. Zbl 1343.92243 Robertson-Tessi, Mark; El-Kareh, Ardith; Goriely, Alain 7 2015 Paws, pads and plants: the enhanced elasticity of cell-filled load-bearing structures. Zbl 1371.92030 Mihai, L. Angela; Alayyash, Khulud; Goriely, Alain 6 2015 On the stress singularities generated by anisotropic eigenstrains and the hydrostatic stress due to annular inhomogeneities. Zbl 1349.74154 Yavari, Arash; Goriely, Alain 5 2015 The morpho-mechanical basis of ammonite form. Zbl 1405.92026 Moulton, D. E.; Goriely, A.; Chirat, Regis 3 2015 Non-metricity and the nonlinear mechanics of distributed point defects. Zbl 1325.74020 Yavari, Arash; Goriely, Alain 1 2015 Global contraction or local growth, bleb shape depends on more than just cell structure. Zbl 1343.92140 Woolley, Thomas E.; Gaffney, Eamonn A.; Oliver, James M.; Waters, Sarah L.; Baker, Ruth E.; Goriely, Alain 1 2015 Controlled topological transitions in thin-film phase separation. Zbl 1320.35070 Hennessy, Matthew G.; Burlakov, Victor M.; Goriely, Alain; Wagner, Barbara; Münch, Andreas 1 2015 The geometry of discombinations and its applications to semi-inverse problems in anelasticity. Zbl 1320.74023 Yavari, Arash; Goriely, Alain 12 2014 Surface growth kinematics via local curve evolution. Zbl 1280.92010 Moulton, Derek E.; Goriely, Alain 6 2014 Three mechanical models for blebbing and multi-blebbing. Zbl 1330.92020 Woolley, Thomas E.; Gaffney, Eamonn A.; Waters, Sarah L.; Oliver, James M.; Baker, Ruth E.; Goriely, Alain 2 2014 Nonlinear Poisson effects in soft honeycombs. Zbl 1348.74237 Mihai, L. Angela; Goriely, Alain 2 2014 Nonlinear elastic inclusions in isotropic solids. Zbl 1371.74047 Yavari, Arash; Goriely, Alain 20 2013 Riemann-Cartan geometry of nonlinear disclination mechanics. Zbl 1528.74014 Yavari, Arash; Goriely, Alain 20 2013 Rotation, inversion and perversion in anisotropic elastic cylindrical tubes and membranes. Zbl 1371.74210 Goriely, Alain; Tabor, Michael 17 2013 Dynamic fiber reorientation in a fiber-reinforced hyperelastic material. Zbl 07280066 Melnik, Andrey V.; Goriely, Alain 7 2013 On the mechanics of thin films and growing surfaces. Zbl 1528.74073 Holland, Maria A.; Kosmata, Tim; Goriely, Alain; Kuhl, Ellen 6 2013 Static and dynamic stability results for a class of three-dimensional configurations of Kirchhoff elastic rods. Zbl 1284.74062 Majumdar, Apala; Goriely, Alain 3 2013 The mechanics of a chain or ring of spherical magnets. Zbl 1292.78017 Hall, Cameron L.; Vella, Dominic; Goriely, Alain 3 2013 Riemann-Cartan geometry of nonlinear dislocation mechanics. Zbl 1281.74006 Yavari, Arash; Goriely, Alain 68 2012 A mathematical model of tumor-immune interactions. Zbl 1397.92358 Robertson-Tessi, Mark; El-Kareh, Ardith; Goriely, Alain 53 2012 Weyl geometry and the nonlinear mechanics of distributed point defects. Zbl 1371.74046 Yavari, Arash; Goriely, Alain 32 2012 Mechanical growth and morphogenesis of seashells. Zbl 1337.92024 Moulton, D. E.; Goriely, A.; Chirat, R. 11 2012 Self-diffusion in remodeling and growth. Zbl 1320.74033 Epstein, Marcelo; Goriely, Alain 6 2012 Stability estimates for a twisted rod under terminal loads: a three-dimensional study. Zbl 1255.74007 Majumdar, Apala; Prior, Christopher; Goriely, Alain 5 2012 Helices through 3 or 4 points? Zbl 1411.51008 Goriely, Alain; Neukirch, Sébastien; Hausrath, Andrew 1 2012 Perspectives on biological growth and remodeling. Zbl 1270.74134 Ambrosi, D.; Ateshian, G. A.; Arruda, E. M.; Cowin, S. C.; Dumais, J.; Goriely, A.; Holzapfel, G. A.; Humphrey, J. D.; Kemkemer, R.; Kuhl, E.; Olberding, J. E.; Taber, L. A.; Garikipati, K. 81 2011 Positive or negative Poynting effect? The role of adscititious inequalities in hyperelastic materials. Zbl 1243.74011 Mihai, L. Angela; Goriely, Alain 28 2011 Circumferential buckling instability of a growing cylindrical tube. Zbl 1270.74088 Moulton, D. E.; Goriely, A. 23 2011 Scalar evolution equations for shear waves in incompressible solids: a simple derivation of the Z, ZK, KZK and KP equations. Zbl 1228.74039 Destrade, Michel; Goriely, Alain; Saccomandi, Giuseppe 12 2011 Anticavitation and differential growth in elastic shells. Zbl 1273.74181 Moulton, Derek E.; Goriely, Alain 7 2011 Nonlinear morphoelastic plates. I: Genesis of residual stress. Zbl 1269.74142 McMahon, Joseph; Goriely, Alain; Tabor, Michael 5 2011 Nonlinear correction to the Euler buckling formula for compressed cylinders with guided-guided end conditions. Zbl 1273.74104 De Pascalis, Riccardo; Destrade, Michel; Goriely, Alain 4 2011 Nonlinear morphoelastic plates. II: Exodus to buckled states. Zbl 1269.74143 McMahon, Joseph; Goriely, Alain; Tabor, Michael 3 2011 On the mechanical stability of growing arteries. Zbl 1425.74324 Goriely, Alain; Vandiver, Rebecca 16 2010 Spontaneous cavitation in growing elastic membranes. Zbl 1197.74065 McMahon, Joseph; Goriely, Alain; Tabor, Michael 7 2010 The nonlinear dynamics of elastic tubes conveying a fluid. Zbl 1193.74031 Beauregard, Matthew A.; Goriely, Alain; Tabor, Michael 5 2010 Differential growth and residual stress in cylindrical elastic structures. Zbl 1185.74070 Vandiver, Rebecca; Goriely, Alain 10 2009 Morpho-elastodynamics: the long-time dynamics of elastic growth. Zbl 1342.92035 Vandiver, Rebecca; Goriely, Alain 4 2009 Nonlinear Euler buckling. Zbl 1152.74342 Goriely, Alain; Vandiver, Rebecca; Destrade, Michel 27 2008 Elastic growth models. Zbl 1382.92184 Goriely, Alain; Robertson-Tessi, Mark; Tabor, Michael; Vandiver, Rebecca 10 2008 Helices. Zbl 1160.74373 Chouaieb, Nadia; Goriely, Alain; Maddocks, John H. 41 2006 Instabilities in elastomers and in soft tissues. Zbl 1107.74018 Goriely, A.; Destrade, M.; Ben Amar, M. 13 2006 Twisted elastic rings and the rediscoveries of Michell’s instability. Zbl 1098.74034 Goriely, Alain 12 2006 The dynamics of stretchable rods in the inertial case. Zbl 1138.74357 Lafortune, Stéphane; Goriely, Alain; Tabor, Michael 2 2006 Biomechanical model for appressorial design in Magnaporthe grisea. Zbl 1447.92037 Tongen, Anthony; Goriely, Alain; Tabor, Michael 2 2006 Growth and instability in elastic tissues. Zbl 1120.74336 Ben Amar, Martine; Goriely, Alain 88 2005 Growth induced curve dynamics for filamentary micro-organisms. Zbl 1090.92014 Goriely, Alain; Károlyi, György; Tabor, Michael 2 2005 Knotted umbilical cords. Zbl 1092.92025 Goriely, Alain 2 2005 Singularity confinement and algebraic integrability. Zbl 1070.37039 Lafortune, S.; Goriely, A. 9 2004 Whip waves. Zbl 1098.74590 McMillen, Tyler; Goriely, Alain 6 2003 Biomechanical models of hyphal growth in actinomycetes. Zbl 1464.92026 Goriely, Alain; Tabor, Michael 6 2003 Tendril perversion in intrinsically curved rods. Zbl 1100.74575 McMillen, T.; Goriely, A. 28 2002 Integrability and nonintegrability of dynamical systems. Zbl 1002.34001 Goriely, Alain 140 2001 On the dynamics of elastic strips. Zbl 1053.74026 Goriely, A.; Nizette, M.; Tabor, M. 24 2001 Painlevé analysis and normal forms theory. Zbl 0988.34076 Goriely, Alain 3 2001 The nonlinear dynamics of filaments. Zbl 0985.74030 Goriely, Alain; Tabor, Michael 19 2000 Necessary and sufficient conditions for finite time singularities in ordinary differential equations. Zbl 0962.34003 Goriely, Alain; Hyde, Craig 17 2000 A brief history of Kovalevskaya exponents and modern developments. Zbl 0947.37031 Goriely, A. 10 2000 ...and 14 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,507 Authors 77 Goriely, Alain 30 Yavari, Arash 28 Llibre, Jaume 19 Kuhl, Ellen 15 Mihai, L. Angela 14 Moulton, Derek E. 13 Shi, Shaoyun 13 Zhang, Xiang 12 Destrade, Michel 12 Murphy, Jeremiah G. 12 Valls Anglés, Cláudia 11 Ciarletta, Pasquale 10 Horgan, Cornelius Oliver 10 Rubin, Miles B. 9 Guha, Partha 9 Kupferman, Raz 9 Tabor, Michael 8 Ghose Choudhury, Anindya 8 Saccomandi, Giuseppe 7 Epstein, Marcelo 7 Giné, Jaume 7 Pence, Thomas J. 7 Putkaradze, Vakhtang 7 Woolley, Thomas E. 6 Ben Amar, Martine 6 Demina, Maria V. 6 Golgoon, Ashkan 6 Grillo, Alfio 6 Kumar, Ajeet 6 Li, Wenlei 6 Vandiver, Rebecca M. 5 Algaba, Antonio 5 Ambrosi, Davide 5 Chèze, Guillaume 5 Demirkoparan, Hasan 5 Demirkus, Dilek 5 Distefano, Salvatore 5 García, Cristóbal 5 Gay-Balmaz, François 5 Hernández-Bermejo, Benito 5 Huang, Kaiyin 5 Kawakubo, Satoshi 5 McLaren, David I. 5 Merodio, Jose 5 Ogden, Raymond William 5 Purohit, Prashant K. 5 Quispel, Gilles Reinout Willem 5 Sozio, Fabio 5 Wang, Jiong 4 Al-Mekhlafi, Seham Mahyoub 4 Ali, Ahmad Tawfik 4 Audoly, Basile 4 Balbi, Valentina 4 Brenig, Léon 4 Buganza Tepole, Adrián 4 Byrne, Helen Mary 4 Chapman, Stephen Jonathan 4 Cotsakis, Spiros 4 Dai, Hui-Hui 4 Esen, Oğul 4 Fok, Pak-Wing 4 Fried, Eliot 4 Gebhardt, Cristian Guillermo 4 Gou, Kun 4 Gupta, Anurag P. 4 Humphrey, Jay D. 4 İlarslan, Kazim 4 Javili, Ali 4 Khajanchi, Subhas 4 Koifman, K. G. 4 Linder, Christian 4 Lychev, Sergei A. 4 Maor, Cy 4 Murashkin, Evgeniĭ Valer’evich 4 Nardinocchi, Paola 4 Özdemir, Zehra 4 Perthame, Benoît 4 Reyes, Manuel 4 Ruiz-Baier, Ricardo 4 Sáez, Pablo 4 Safadi, M. M. 4 Singh, Raushan 4 Steinmann, Paul 4 Sweilam, Nasser Hassan 4 van der Heijden, Gert H. M. 4 van der Kamp, Peter H. 4 Wang, Fanfan 4 Xu, Zhiguo 3 Abeyaratne, Rohan C. 3 Baker, Ruth Elizabeth 3 Baris, J. S. 3 Böhmer, Christian G. 3 Bountis, Tassos C. 3 Budday, Silvia 3 Cai, Zongxi 3 Camci, Çetin 3 Chirat, Regis 3 Ciambella, Jacopo 3 Della Corte, Alessandro 3 dell’Isola, Francesco ...and 1,407 more Authors all top 5 Cited in 207 Serials 66 Journal of Elasticity 46 Journal of the Mechanics and Physics of Solids 45 Mathematics and Mechanics of Solids 38 Journal of Theoretical Biology 33 Computer Methods in Applied Mechanics and Engineering 27 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 25 International Journal of Engineering Science 22 Physica D 20 ZAMP. Zeitschrift für angewandte Mathematik und Physik 19 Journal of Mathematical Physics 18 Journal of Nonlinear Science 15 Acta Mechanica 13 Journal of Differential Equations 12 Journal of Mathematical Analysis and Applications 12 Physics Letters. A 12 SIAM Journal on Applied Mathematics 12 European Journal of Mechanics. A. Solids 11 Chaos, Solitons and Fractals 11 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 10 Journal of Computational Physics 10 Journal of Engineering Mathematics 10 Journal of Mathematical Biology 10 Meccanica 10 Communications in Nonlinear Science and Numerical Simulation 9 Archive for Rational Mechanics and Analysis 9 Mathematical Biosciences 9 Journal of Physics A: Mathematical and Theoretical 8 Bulletin of Mathematical Biology 8 Applied Mathematics and Computation 8 Computational Mechanics 8 Nonlinear Dynamics 7 Mathematical Methods in the Applied Sciences 6 Wave Motion 6 Applied Mathematical Modelling 6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 6 Regular and Chaotic Dynamics 6 Lobachevskii Journal of Mathematics 6 Mathematical Biosciences and Engineering 6 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 International Journal of Solids and Structures 5 Journal of Fluid Mechanics 5 Physica A 5 Journal of Geometry and Physics 5 Proceedings of the National Academy of Sciences of the United States of America 5 Continuum Mechanics and Thermodynamics 5 Qualitative Theory of Dynamical Systems 5 Discrete and Continuous Dynamical Systems. Series B 4 International Journal for Numerical Methods in Engineering 4 Quarterly of Applied Mathematics 4 Applied Mathematics Letters 4 European Journal of Applied Mathematics 4 Journal of Mathematical Sciences (New York) 4 Discrete and Continuous Dynamical Systems 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Nonlinear Analysis. Real World Applications 4 International Journal of Geometric Methods in Modern Physics 4 Computational & Mathematical Methods in Medicine 3 Journal of Statistical Physics 3 Nonlinearity 3 Physics Letters. B 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Proceedings of the American Mathematical Society 3 Acta Applicandae Mathematicae 3 Journal of Symbolic Computation 3 Calculus of Variations and Partial Differential Equations 3 Bulletin des Sciences Mathématiques 3 Journal of Difference Equations and Applications 3 Chaos 3 Journal of Biological Systems 3 Journal of Nonlinear Mathematical Physics 3 Mediterranean Journal of Mathematics 3 Advances in Difference Equations 3 Acta Mechanica Sinica 3 Applied Mathematics and Nonlinear Sciences 2 Modern Physics Letters B 2 Computers & Mathematics with Applications 2 Computer Physics Communications 2 Journal of Applied Mathematics and Mechanics 2 Theoretical and Mathematical Physics 2 Demonstratio Mathematica 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Theoretical Computer Science 2 SIAM Journal on Mathematical Analysis 2 Archive of Applied Mechanics 2 Physics of Fluids 2 Advances in Applied Clifford Algebras 2 New Journal of Physics 2 Communications in Contemporary Mathematics 2 Differentsial’nye Uravneniya i Protsessy Upravleniya 2 Archives of Computational Methods in Engineering 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 SIAM Journal on Applied Dynamical Systems 2 Theoretical and Applied Mechanics 2 Analysis and Applications (Singapore) 2 Journal of Statistical Mechanics: Theory and Experiment 2 Oberwolfach Reports 2 Discrete and Continuous Dynamical Systems. Series S 2 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 2 Advances in Mathematical Physics 2 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal ...and 107 more Serials all top 5 Cited in 50 Fields 497 Mechanics of deformable solids (74-XX) 247 Biology and other natural sciences (92-XX) 166 Ordinary differential equations (34-XX) 117 Dynamical systems and ergodic theory (37-XX) 115 Partial differential equations (35-XX) 77 Differential geometry (53-XX) 51 Fluid mechanics (76-XX) 50 Mechanics of particles and systems (70-XX) 48 Numerical analysis (65-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 19 Statistical mechanics, structure of matter (82-XX) 18 Relativity and gravitational theory (83-XX) 15 Difference and functional equations (39-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Computer science (68-XX) 11 Optics, electromagnetic theory (78-XX) 9 Systems theory; control (93-XX) 8 Algebraic geometry (14-XX) 8 Quantum theory (81-XX) 7 General and overarching topics; collections (00-XX) 6 Commutative algebra (13-XX) 6 Manifolds and cell complexes (57-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Special functions (33-XX) 5 Probability theory and stochastic processes (60-XX) 4 History and biography (01-XX) 4 Combinatorics (05-XX) 4 Nonassociative rings and algebras (17-XX) 4 Topological groups, Lie groups (22-XX) 4 Real functions (26-XX) 4 Statistics (62-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Field theory and polynomials (12-XX) 3 Approximations and expansions (41-XX) 3 Integral equations (45-XX) 3 Operator theory (47-XX) 3 Astronomy and astrophysics (85-XX) 3 Geophysics (86-XX) 3 Operations research, mathematical programming (90-XX) 2 Functions of a complex variable (30-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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