Recent publications
Book
Meyer, JC & Needham, DJ 2015, The cauchy problem for non-lipschitz semi-linear parabolic partial differential equations. London Mathematical Society Lecture Note Series, no. 419, Cambridge University Press, Cambridge, UK. https://doi.org/10.1017/CBO9781316151037
Article
Lee, CH, Bremner, D, Clerkin, C, Daw, MI, Hussain, S, McDonald, P, Menzies, J, Meyer, JC, Ponciano, J, Shan, S, Shipston, MJ, Welburn, S, Yang, H & Stefan, MI 2024, 'Evaluating the Student Experience at UK-China Joint Institutes', Frontiers in Education, vol. 9, 1330984. https://doi.org/10.3389/feduc.2024.1330984
Meyer, JC 2024, 'Reflections on a linear algebra reading comprehension exercise arising from macroeconomics', Teaching Mathematics and its Applications.
Needham, DJ, Billingham, J, Ladas, NM & Meyer, JC 2024, 'The evolution problem for the 1D nonlocal Fisher-KPP equation with a top hat kernel: Part 1. The Cauchy problem on the real line', European Journal of Applied Mathematics.
Needham, DJ, Meyer, JC, Billingham, J & Drysdale, C 2023, 'The Riemann problem for a generalized Burgers equation with spatially decaying sound speed: I Large-time asymptotics', Studies in Applied Mathematics, vol. 150, no. 4, pp. 963-995. https://doi.org/10.1111/sapm.12561
Kinnear, G, Jones, I, Sangwin, C, Alarfaj, M, Davies, B, Fearn, S, Foster, C, Heck, A, Henderson, K, Hunt, T, Iannone, P, Kontorovich, I, Larson, N, Lowe, T, Meyer, JC, O’Shea, A, Rowlett, P, Sikurajapathi, I & Wong, T 2022, 'A collaboratively-derived research agenda for e-assessment in undergraduate mathematics', International Journal of Research in Undergraduate Mathematics Education. https://doi.org/10.1007/s40753-022-00189-6
Meyer, JC 2022, 'A note on boundary point principles for partial differential inequalities of elliptic type', Boundary Value Problems, vol. 2022, no. 1, 33, pp. 1-20. https://doi.org/10.1186/s13661-022-01614-0
Meyer, JC 2021, 'A note on radio wave propagation' Mathematics Today, vol. 57, no. 2, pp. 61-63.
Jones, D, Meyer, JC & Huang, J 2021, 'Reflections on remote teaching', MSOR Connections, vol. 19, no. 1, pp. 47-54. https://doi.org/10.21100/msor.v19i1.1137
Mason, SL, Meyer, JC & Needham, DJ 2021, 'The development of a wax layer on the interior wall of a circular pipe transporting heated oil: the effects of temperature-dependent wax conductivity', Journal of Engineering Mathematics, vol. 131, 7. https://doi.org/10.1007/s10665-021-10171-x
Clark, V & Meyer, JC 2020, 'On two-signed solutions to a second order semi-linear parabolic partial differential equation with non-Lipschitz nonlinearity', Journal of Differential Equations, vol. 269, no. 2, pp. 1401-1431. https://doi.org/10.1016/j.jde.2020.01.007
Meyer, JC & Needham, DJ 2018, 'On a L∞ functional derivative estimate relating to the Cauchy problem for scalar semi-linear parabolic partial differential equations with general continuous nonlinearity', Journal of Differential Equations, vol. 265, no. 8, pp. 3345-3362. https://doi.org/10.1016/j.jde.2018.04.051
Meyer, JC & Needham, DJ 2017, 'The evolution to localized and front solutions in a non-Lipschitz reaction-diffusion Cauchy problem with trivial initial data', Journal of Differential Equations, vol. 262, no. 3, pp. 1747-1776. https://doi.org/10.1016/j.jde.2016.10.027
Meyer, JC & Needham, DJ 2016, 'Aspects of Hadamard well-posedness for classes of non-Lipschitz semilinear parabolic partial differential equations', Proceedings of the Royal Society of Edinburgh: Section A (Mathematics), vol. 146, no. 4, pp. 777-832. https://doi.org/10.1017/S0308210515000712
Needham, DJ & Meyer, JC 2015, 'A note on the classical weak and strong maximum principles for linear parabolic partial differential inequalities', Zeitschrift für angewandte Mathematik und Physik, vol. 66, no. 4, pp. 2081-2086. https://doi.org/10.1007/s00033-014-0492-8
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