Dr John Meyer MSci PhD FHEA MIMA

Dr John Meyer

School of Mathematics
Associate Professor in Applied Mathematics

Contact details

Telephone
+44 (0) 121 414 6197
Email
j.c.meyer@bham.ac.uk
View my research portal
Address
School of Mathematics
Watson Building
University of Birmingham
Edgbaston
Birmingham
B15 2TT
UK

John Christopher Meyer is a ‘flying faculty’ lecturer within the School of Mathematics, and hence also holds a visiting academic position at Jinan University.

His mathematical research interests lie within the field of analysis of partial differential equations of elliptic and parabolic type, as well as associated applications. He has published research papers and a monograph in this area. He also has an interest in mathematics education, primarily in the area of computer-aided assessment.

Qualifications

  • Member of the Institute of Mathematics and its Applications (2019)
  • Postgraduate certificate in Academic Practice (2018)
  • Member of the London Mathematical Society (2016)
  • Fellow of the Higher Education Academy (2016)
  • PhD in Applied Mathematics, University of Birmingham (2013)
  • MSci (Hons) in Mathematical Sciences, University of Birmingham (2009)

Biography

John has, in some form, been in the School of Mathematics at the University of Birmingham since commencing studies as an undergraduate student in 2005.

Following completion of his EPSRC-funded PhD studies in 2013, John transferred to an EPSRC-funded postdoctoral research position, followed by a teaching fellowship, which was followed by a fixed-term lecturer position in Applied Mathematics.

Following these fixed-term positions, John was appointed to his current position as a flying-faculty lecturer within the School of Mathematics. He has now manged to temporarily leave the School of Mathematics, as a visiting lecturer at Jinan University, specifically, in his role at the Jinan University - University of Birmingham joint institute.

John’s research interests primarily concern well-posedness and qualitative behaviour of solutions to boundary value problems for partial differential equations. Ideally in situations close to, or being, ill-posed, so the results are somewhat counter-intuitive, and consequently, awkward to obtain.

John has given a variety of lecture courses at levels: F (Introductory Mathematics); C (Jinan Vectors, Geometry and Linear Algebra); I (Introduction to C++); and H and M (Chaos / Applied Nonlinear Dynamical Systems). He has supervised numerous dissertations at levels H and M.

John has been involved in delivery and administration of various widening participation schemes including: Access to Birmingham (A2B), Realising Opportunities (RO), and Nuffield placements.

Teaching

Semester 1

LC Real Analysis (Jinan)

Postgraduate supervision

John supervises PhD students in applied mathematics, MSc Financial Engineering (16 dissertations supervised) and MSc Mathematical Modelling (2 dissertations supervised).

Research

Research Themes

  • Qualitative theory for solutions to boundary value problems for elliptic/parabolic PDE
  • Maximum & Tangency principles for elliptic/parabolic PDE
  • E-assessment of mathematics

Research Activity

Reaction-Diffusion Theory – Specifically in the local but non-Lipschitz nonlinearity setting, and the regular non-local nonlinearity setting. Primarily concerning well-posedness, but also counter-intuitive qualitative properties of solutions.

Maximum & Tangency Principles - These provide qualitative information about solutions to boundary value problems for elliptic and parabolic partial differential inequalities.

Applied analysis on mathematical models arising from heat and mass transfer, chemical reaction kinetics, and mathematical physics.

Mathematics Education – Specifically related to e-assessment.

Other activities

J-BJI Head of Education (Oct 20 - Jul 23)

J-BJI Deputy Lead (May 19 - Oct 20)

J-BJI CAA Lead (May 18 - Sep 19)

Mathematics Lead for A2B & RO schemes (Mar 18 - Mar 20)

Publications

Recent publications

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

View all publications in research portal