Edit Profile (opens in new tab) Hudson, Thomas Co-Author Distance Author ID: hudson.thomas.1 Published as: Hudson, Thomas; Hudson, T. Homepage: https://warwick.ac.uk/fac/sci/maths/people/staff/hudson/ External Links: ORCID Documents Indexed: 25 Publications since 2007, including 7 Additional arXiv Preprints Co-Authors: 11 Co-Authors with 13 Joint Publications 631 Co-Co-Authors all top 5 Co-Authors 5 single-authored 6 Ortner, Christoph 3 Costenoble, Steven R. 2 Buze, Maciej 2 Li, Xingjie Helen 2 Tilson, Sean 2 van Meurs, Patrick 1 Banerjee, Anandam 1 Bohner, Martin J. 1 Braun, Julian 1 Hall, Cameron Luke 1 Legoll, Frédéric 1 Lelièvre, Tony 1 Martirosian, Arthur 1 Matszangosz, Ákos K. 1 Morandotti, Marco 1 Peletier, Mark Adriaan 1 Rindler, Filip 1 Wendt, Matthias all top 5 Serials 3 Archive for Rational Mechanics and Analysis 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Multiscale Modeling & Simulation 1 Advances in Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Acta Applicandae Mathematicae 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 International Journal of Applied Mathematics and Statistics 1 Networks and Heterogeneous Media all top 5 Fields 13 Mechanics of deformable solids (74-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Algebraic geometry (14-XX) 4 Probability theory and stochastic processes (60-XX) 4 Mechanics of particles and systems (70-XX) 3 Partial differential equations (35-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Algebraic topology (55-XX) 3 Numerical analysis (65-XX) 2 \(K\)-theory (19-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 1 Number theory (11-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 16 Publications have been cited 116 times in 79 Documents Cited by ▼ Year ▼ On the stability of bravais lattices and their Cauchy-Born approximations. Zbl 1291.35388 Hudson, Thomas; Ortner, Christoph 24 2012 Existence and stability of a screw dislocation under anti-plane deformation. Zbl 1342.82146 Hudson, Thomas; Ortner, Christoph 22 2014 Analysis of stable screw dislocation configurations in an antiplane lattice model. Zbl 1317.74035 Hudson, T.; Ortner, C. 16 2015 Euler-type boundary value problems in quantum calculus. Zbl 1144.39010 Bohner, Martin; Hudson, Thomas 11 2007 Coarse-graining of overdamped Langevin dynamics via the Mori-Zwanzig formalism. Zbl 1446.82064 Hudson, Thomas; Li, Xingjie H. 8 2020 Upscaling a model for the thermally-driven motion of screw dislocations. Zbl 1367.82011 Hudson, T. 7 2017 Analysis of an atomistic model for anti-plane fracture. Zbl 1425.82026 Buze, Maciej; Hudson, Thomas; Ortner, Christoph 5 2019 \(\Gamma\)-expansion for a 1D confined Lennard-Jones model with point defect. Zbl 1270.49011 Hudson, Thomas 5 2013 Asymptotic analysis of boundary layers in a repulsive particle system. Zbl 1387.74093 Hall, Cameron L.; Hudson, Thomas; van Meurs, Patrick 4 2018 Atomistic origins of continuum dislocation dynamics. Zbl 1460.60107 Hudson, Thomas; van Meurs, Patrick; Peletier, Mark 4 2020 Analysis of cell size effects in atomistic crack propagation. Zbl 07357913 Buze, Maciej; Hudson, Thomas; Ortner, Christoph 3 2020 Properties of screw dislocation dynamics: time estimates on boundary and interior collisions. Zbl 1426.74147 Hudson, Thomas; Morandotti, Marco 3 2017 Elasto-plastic evolution of single crystals driven by dislocation flow. Zbl 1524.74087 Hudson, Thomas; Rindler, Filip 3 2022 Asymptotic expansion of the elastic far-field of a crystalline defect. Zbl 1496.74038 Braun, Julian; Hudson, Thomas; Ortner, Christoph 3 2022 Stochastic homogenization of a scalar viscoelastic model exhibiting stress-strain hysteresis. Zbl 1434.74093 Hudson, Thomas; Legoll, Frédéric; Lelièvre, Tony 1 2020 The \(C_2\)-equivariant cohomology of complex projective spaces. Zbl 1492.55007 Costenoble, Steven R.; Hudson, Thomas; Tilson, Sean 1 2022 Elasto-plastic evolution of single crystals driven by dislocation flow. Zbl 1524.74087 Hudson, Thomas; Rindler, Filip 3 2022 Asymptotic expansion of the elastic far-field of a crystalline defect. Zbl 1496.74038 Braun, Julian; Hudson, Thomas; Ortner, Christoph 3 2022 The \(C_2\)-equivariant cohomology of complex projective spaces. Zbl 1492.55007 Costenoble, Steven R.; Hudson, Thomas; Tilson, Sean 1 2022 Coarse-graining of overdamped Langevin dynamics via the Mori-Zwanzig formalism. Zbl 1446.82064 Hudson, Thomas; Li, Xingjie H. 8 2020 Atomistic origins of continuum dislocation dynamics. Zbl 1460.60107 Hudson, Thomas; van Meurs, Patrick; Peletier, Mark 4 2020 Analysis of cell size effects in atomistic crack propagation. Zbl 07357913 Buze, Maciej; Hudson, Thomas; Ortner, Christoph 3 2020 Stochastic homogenization of a scalar viscoelastic model exhibiting stress-strain hysteresis. Zbl 1434.74093 Hudson, Thomas; Legoll, Frédéric; Lelièvre, Tony 1 2020 Analysis of an atomistic model for anti-plane fracture. Zbl 1425.82026 Buze, Maciej; Hudson, Thomas; Ortner, Christoph 5 2019 Asymptotic analysis of boundary layers in a repulsive particle system. Zbl 1387.74093 Hall, Cameron L.; Hudson, Thomas; van Meurs, Patrick 4 2018 Upscaling a model for the thermally-driven motion of screw dislocations. Zbl 1367.82011 Hudson, T. 7 2017 Properties of screw dislocation dynamics: time estimates on boundary and interior collisions. Zbl 1426.74147 Hudson, Thomas; Morandotti, Marco 3 2017 Analysis of stable screw dislocation configurations in an antiplane lattice model. Zbl 1317.74035 Hudson, T.; Ortner, C. 16 2015 Existence and stability of a screw dislocation under anti-plane deformation. Zbl 1342.82146 Hudson, Thomas; Ortner, Christoph 22 2014 \(\Gamma\)-expansion for a 1D confined Lennard-Jones model with point defect. Zbl 1270.49011 Hudson, Thomas 5 2013 On the stability of bravais lattices and their Cauchy-Born approximations. Zbl 1291.35388 Hudson, Thomas; Ortner, Christoph 24 2012 Euler-type boundary value problems in quantum calculus. Zbl 1144.39010 Bohner, Martin; Hudson, Thomas 11 2007 all cited Publications top 5 cited Publications all top 5 Cited by 113 Authors 21 Ortner, Christoph 8 Hudson, Thomas 8 van Meurs, Patrick 6 Braun, Julian 6 Li, Xingjie Helen 6 Shapeev, Alexander V. 5 Buze, Maciej 4 Garroni, Adriana 4 Luskin, Mitchell 4 Wang, Yangshuai 3 Chen, Huajie 3 De Luca, Lucia 3 Morandotti, Marco 3 Peletier, Mark Adriaan 3 Vankoten, Brian 3 Zhang, Lei 3 Zhu, Yuanran 2 Alicandro, Roberto 2 Ben Nasser, Bacem 2 Boukerrioua, Khaled 2 Çetinkaya, Fatma Ayça 2 Defoort, Michael 2 Djemai, Mohamed 2 Hammami, Mohamed Ali 2 Marziani, Roberta 2 Ming, Pingbing 2 Nemri, Akram 2 Olson, Derek 2 Ponsiglione, Marcello 2 Scala, Riccardo 2 Schlömerkemper, Anja 2 Schmidt, Bernd 2 Selmi, Belgacem 2 Theil, Florian 2 Ye, Felix X.-F. 2 Zhang, Yi 1 Anghel, Marian 1 Aydin, Ilknur 1 Bishara, Dana 1 Braides, Andrea 1 Çankaya, Mehmet Niyazi 1 Carioni, Marcello 1 Causin, Andrea 1 Cesana, Pierluigi 1 Chen, Jianjun 1 Conti, Sergio 1 Dobson, Matthew 1 Duong, Manh Hong 1 Ehrlacher, Virginie 1 Fischer, Julian 1 Fonseca, Irene 1 Freĭdin, Aleksandr Borisovich 1 Fu, Kejie 1 Fusco, Nicola 1 Göktaş, Atilla 1 Hall, Cameron Luke 1 İşçi, Öznur 1 Katrutsa, Aleksandr 1 Kim, Changho 1 Kimura, Masato 1 Kitavtsev, Georgy 1 König, Wolfgang Dieter 1 Krivtsov, Anton Miroslavovich 1 Laleg-Kirati, Taous-Meriem 1 Lauerbach, Laura 1 Lei, Huan 1 Leoni, Giovanni 1 Li, Hongliang 1 Li, Shaofan 1 Liao, Mingjie 1 Lin, Yen Ting 1 Livescu, Daniel 1 Lu, Jianfeng 1 Lucardesi, Ilaria 1 Luckhaus, Stephan 1 Luo, Tao 1 Matsutani, Shigeki 1 Mihai, L. Angela 1 Mikelić, Andro 1 Morini, Massimiliano 1 Nazar, Faizan Q. 1 Neukamm, Stefan 1 Oseledets, Ivan Valer’evich 1 Panchenko, A. Yu. 1 Piatnitski, Andrey L. 1 Podolskaya, E. A. 1 Požár, Norbert 1 Qiang, Chengxiu 1 Rindler, Filip 1 Rossi, Riccarda 1 Rüland, Angkana 1 Savaré, Giuseppe 1 Schäffner, Mathias 1 Solci, Margherita 1 Steinbach, Martin 1 Sun, Jianping 1 Tang, Yuhang 1 Tao, Molei 1 Thomas, Jack 1 Tian, Yifeng ...and 13 more Authors all top 5 Cited in 40 Serials 11 Archive for Rational Mechanics and Analysis 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 Multiscale Modeling & Simulation 4 Journal of Computational Physics 4 SIAM Journal on Mathematical Analysis 4 Calculus of Variations and Partial Differential Equations 3 SIAM Journal on Applied Mathematics 2 Acta Mechanica 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of the Mechanics and Physics of Solids 2 Nonlinearity 2 Numerische Mathematik 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Computation 1 SIAM Journal on Numerical Analysis 1 Systems & Control Letters 1 Acta Applicandae Mathematicae 1 Computational Mechanics 1 Asymptotic Analysis 1 Journal of Scientific Computing 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Convex Analysis 1 The Journal of Fourier Analysis and Applications 1 Abstract and Applied Analysis 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Annales Henri Poincaré 1 Kragujevac Journal of Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Computational Physics 1 Nonlinear Analysis. Hybrid Systems 1 Tbilisi Mathematical Journal 1 Palestine Journal of Mathematics 1 Mathematics and Mechanics of Complex Systems all top 5 Cited in 29 Fields 49 Mechanics of deformable solids (74-XX) 32 Statistical mechanics, structure of matter (82-XX) 19 Numerical analysis (65-XX) 17 Partial differential equations (35-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Mechanics of particles and systems (70-XX) 9 Probability theory and stochastic processes (60-XX) 6 Ordinary differential equations (34-XX) 6 Quantum theory (81-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Systems theory; control (93-XX) 3 Real functions (26-XX) 3 Computer science (68-XX) 2 Combinatorics (05-XX) 2 Group theory and generalizations (20-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Operator theory (47-XX) 2 Statistics (62-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year