个人简介

John Meyer，伯明翰大学应用数学博士；曾任伯明翰大学应用数学讲师，主要研究反应扩散理论、拟线性抛物型偏微分方程等；现任伯明翰大学数学学院讲师。

联系方式

邮件：j.c.meyer@bham.ac.uk

教育背景

2009年7月 伯明翰大学 应用数学

2013年7月 伯明翰大学 应用数学博士

工作经历

伯明翰大学 应用数学讲师

伯明翰大学 数学讲师

科研专长及成果

研究兴趣：反应扩散理论、极值原理、拟线性抛物型偏微分方程、化学反应模型、椭圆抛物线偏微分方程解的正则性

研究经历：

2012年9月-2013年9月EPSRC博士奖

教学专长及成果

伯明翰大学：在研究生、本科和基础阶段有丰富的教学经验，教学内容包括：应用非线性动力系统、混沌理论、c++和数学基础课程的创建及（或）授课；对各类课题的大四本科生进行项目督导；以及指导金融工程和数学建模专业的研究生学位论文。

暨南大学：经济学应用数学、统计学应用数学、信息计算机科学应用数学和数学应用数学双学位课程讲师。

代表性学术出版物

Book

Meyer, J & Needham, D 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

Needham, D, Meyer, J, 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, J, 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, J 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, J 2021, 'A note on radio wave propagation' Mathematics Today, vol. 57, no. 2, pp. 61-63.

Jones, D, Meyer, J & 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, S, Meyer, J & Needham, D 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, J 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, J & Needham, D 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, J & Needham, D 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

Meyer, JC & Needham, DJ 2015, 'Well-posedness and qualitative behaviour of a semi-linear parabolic Cauchy problem arising from a generic model for fractional-order autocatalysis', Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences, vol. 471, no. 2175, 20140632. https://doi.org/10.1098/rspa.2014.0632

Meyer, JC & Needham, DJ 2014, 'Extended weak maximum principles for parabolic partial differential inequalities on unbounded domains', Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences, vol. 470, no. 2167, 20140079. https://doi.org/10.1098/rspa.2014.0079