| On the stability of Bravais lattices and their Cauchy–Born approximations T Hudson, C Ortner ESAIM: Mathematical Modelling and Numerical Analysis 46 (1), 81-110, 2011 | 51* | 2011 |
| Existence and stability of a screw dislocation under anti-plane deformation T Hudson, C Ortner Archive for Rational Mechanics and Analysis 213 (3), 887-929, 2014 | 40 | 2014 |
| Analysis of stable screw dislocation configurations in an anti-plane lattice model T Hudson, C Ortner SIAM Journal on Mathematical Analysis 47 (1), 291-320, 2015 | 22 | 2015 |
| Coarse-Graining of Overdamped Langevin Dynamics via the Mori-Zwanzig Formalism T Hudson, XH Li Multiscale Modeling & Simulation 18 (2), 1113-1135, 2020 | 21 | 2020 |
| Systematic derivation of hybrid coarse-grained models N Di Pasquale, T Hudson, M Icardi Physical Review E 99 (1), 2019 | 14 | 2019 |
| Gamma-Expansion for a 1D Confined Lennard-Jones Model with point defect. T Hudson Networks & Heterogeneous Media 8 (2), 501-527, 2013 | 12 | 2013 |
| Analysis of an atomistic model for anti-plane fracture M Buze, T Hudson, C Ortner Mathematical Models and Methods in Applied Sciences 29 (13), 2469-2521, 2019 | 11 | 2019 |
| Upscaling a model for the thermally-driven motion of screw dislocations T Hudson Archive for Rational Mechanics and Analysis 224 (1), 291-352, 2017 | 11 | 2017 |
| Analysis of cell size effects in atomistic crack propagation M Buze, T Hudson, C Ortner ESAIM: Mathematical Modelling and Numerical Analysis 54 (6), 1821-1847, 2020 | 10 | 2020 |
| An existence result for discrete dislocation dynamics in three dimensions T Hudson arXiv preprint arXiv:1806.00304, 2018 | 8 | 2018 |
| Elasto-plastic evolution of single crystals driven by dislocation flow T Hudson, F Rindler Mathematical Models and Methods in Applied Sciences 32 (05), 851-910, 2022 | 7 | 2022 |
| Atomistic origins of continuum dislocation dynamics T Hudson, P Van Meurs, MA Peletier Mathematical Models and Methods in Applied Sciences 30 (13), 2557-2618, 2020 | 6 | 2020 |
| Asymptotic analysis of boundary layers in a repulsive particle system CL Hall, T Hudson, P van Meurs Acta Applicandae Mathematicae 153 (1), 1-54, 2018 | 6 | 2018 |
| Properties of screw dislocation dynamics: time estimates on boundary and interior collisions T Hudson, M Morandotti SIAM Journal on Applied Mathematics 77 (5), 1678-1705, 2017 | 6 | 2017 |
| Asymptotic expansion of the elastic far-field of a crystalline defect J Braun, T Hudson, C Ortner Archive for Rational Mechanics and Analysis 245 (3), 1437-1490, 2022 | 5 | 2022 |
| Qualitative properties of dislocation dynamics: collisions and boundary behaviour T Hudson, M Morandotti SIAM J. Appl. Math 77 (5), 1678-1705, 2017 | 5 | 2017 |
| Stochastic homogenization of a scalar viscoelastic model exhibiting stress-strain hysteresis T Hudson, F Legoll, T Lelievre ESAIM: Mathematical Modelling and Numerical Analysis 54 (3), 879-928, 2020 | 4 | 2020 |
| A systematic analysis of the memory term in coarse-grained models: The case of the Markovian approximation N Di Pasquale, T Hudson, M Icardi, L Rovigatti, M Spinaci European Journal of Applied Mathematics 34 (2), 326-345, 2023 | 1 | 2023 |
| Dislocation dynamics in Ni-based superalloys: Parameterising dislocation trajectories from atomistic simulations G Anis, T Hudson, P Brommer arXiv preprint arXiv:2310.01239, 2023 | | 2023 |
| Dynamical properties of coarse-grained linear SDEs T Hudson, X Li arXiv preprint arXiv:2302.06535, 2023 | | 2023 |
Christoph OrtnerUniversity of British ColumbiaE-mail megerősítve itt: math.ubc.ca
