**Senior Lecturer in Engineering Mathematics**

**Email: john.bissell@york.ac.uk**

**Tel: **+44 (0)1904 32 2828

**Areas of Expertise: **Thermal convection; hydrodynamics and magnetised fluids; plasma transport and instability; dynamical systems; numerical analysis.

- Ph.D. (Imperial College London)
- M.A. (University of Cambridge)

- Senior Teaching Fellow, University of Warwick (2018-2019).
- Teaching Fellow, University of Bath (2015-2017).
- Research Associate, University of Durham (2012-2015).

- Thermal convection, and buoyancy driven instability.
- Non-linear heat-flow, collisional transport, and kinetic theory.
- Dynamical systems (especially ecological and sociological systems).
- Theory and simulation of laser-produced plasmas.
- Numerical analysis (sparse matrices, implicit solvers, and Chebychev-T algorithms).

- Foundation Year Mathematics I
- Foundation Year Mathematics II
- First Year Engineering Mathematics
- Second Year Group Projects
- Third Year B.Eng. Individual Projects
- Fourth Year M.Eng. Individual Projects

** J.J. Bissell**, Bifurcation, stability, and critical slowing down in a simple mass-spring system, *Mechanics Research Communications*, 125 : 103967 (2022.)

** J.J. Bissell** and A. M. Nagaitis, Infinity, self-similarity, and continued fractions in physics, *Physics Education*, 57: 055014 (2022.)

**J. J. Bissell,** A. Ali, and B. J. Postle, Illustrating dimensionless scaling with Hooke’s law, *Physics Education*, 57: 023008 (2022.)

**J. J. Bissell, **On the ubiquity of classical harmonic oscillators and a universal equation for the natural frequency of a perturbed system, *American Journal of Physics*, 89: 1094 (2021).

C. P. Ridgers, C. Arran, **J. J. Bissell,** and R. J. Kingham, The inadequacy of a magnetohydrodynamic approach to the Biermann battery, *Proceedings of the Royal Society* A, 379: 20200017 (2021.)

**J. J. Bissell**, Clarifying misconceptions about Ohm’s law and power dissipation in grid electricity transmission, *Physics Education*, 56: 033009 (2021).

**J. J. Bissell,** Complex Numbers as Real Continued Fractions, *The American Mathematical Monthly*, 128(4): 336 (2021).

H. Narie, M. Fatehifar, A. H. Malt, **J. J. Bissell,** M. Souri, M. Nasr Esfahani, and M. Jabbari, Numerical Simulation of a Core-Shell Polymer Strand in Material Extrusion Additive, Polymers, 13: 476 (2021).

**J. J. Bissell,** An elementary proof of the exactness condition for first-order ordinary differential equations, *International Journal of Mathematics Education in Science and Technology*, 52(6):965—971 (2021).

**J. J. Bissell,**and S. K. Bhamidimarri, Introducing the trapezoidal pendulum: dynamics of coupled pendula suitable for distance teaching, *Physics Education*, 55: 065008 (2020).

M. Sherlock and **J. J. Bissell, **Suppression of the Biermann Battery and Stabilization of the Thermomagnetic Instability in Laser Fusion Conditions, *Physical Review Letters*, 124, 055001 (2020) .

J. P. Brodrick, M. Sherlock, W. A. Farmer, A. S. Joglekar, R. Barrois, J. Wengraf,** J. J. Bissell,** R. J. Kingham, D. Del Sorbo, M. P. Read, and C. P. Ridgers, Incorporating kinetic effects on Nernst advection in inertial fusion simulations, *Plasma Physics and Controlled Fusion*, 60: 084009 (2018).

**J. J. Bissell,** The decline in the British bank population since 1810 obeys a law of negative compound interest, *Journal of Business History*, 59(5): 802-813 (2017).

**J. J. Bissell,** Magnetised Thermal Convection with the Cattaneo-Christov Heat-Flow Model, *Proceedings of the Royal Society A*, 472: 20160649 (2016).

**J. J. Bissell,** On Oscillatory Convection with the Cattaneo-Christov Hyperbolic Heat-Flow Model, *Proceedings of the Royal Society A*, 471: 20140845 (2015).

**J. J. Bissell,** Nernst Advection and the Field-Generating Thermal Instability Revisited,* Journal of Plasma Physics*, 81(1): 905810108 (2015).

A. Bentley, E. J. Maddison, P. H. Ranner, **J. J. Bissell,** C. Caiado, P. Bhatanacharoen, T. Clark, M. Botha, F. Akinbami, M. Hollow, R. Michie, B. Huntley, S. Curtis, and P. Garnett, Social tipping points and Earth systems dynamics, *Frontiers in Environmental Science*, 2: 35, (2014).

**J. J. Bissell **and B. Straughan, Discontinuity Waves as Tipping Points : Applications to Biological & Sociological Systems, *Discrete and Continuous Dynamical Systems - Series B*, 19(7): 1911-1934 (2014).

**J. J. Bissell**, C. C. S. Caiado, M. Goldstein and B. Straughan, Compartmental Modelling of Social Dynamics with Generalised Peer Incidence, *Mathematical Models and Methods in Applied Sciences*, 24(4): 719-750 (2014).

B. E. R. Williams, R. J. Kingham and **J. J. Bissell****,** Heat-flux effects on magnetic field dy- namics in solid density plasmas traversed by relativistic electron beams, *Plasma Physics and Controlled Fusion* 55: 095005 (2013).

**J. J. Bissell,** C. P. Ridgers and R. J. Kingham, Super-Gaussian transport theory and the field- generating thermal instability in laser-plasmas, *New Journal of Physics* 15: 025017 (2013).

**J. J. Bissell, **R. J. Kingham and C. P. Ridgers, Magnetothermal instability in laser plasmas including hydrodynamic effects, *Physics of Plasmas*, 19: 052107 (2012).

**J. J. Bissell, **C. P. Ridgers and R. J. Kingham, Field Compressing Magnetothermal Instability in Laser-Plasmas, *Physical Review Letters*, 105: 175001 (2010).

**J. J. Bissell,** C. C. S. Caiado, S. E. Curtis, M. Goldstein and B. Straughan (Editors), Tipping Points : Modelling Social Problems and Health, *Wiley* (2015).

**J. J. Bissell**, Chapter 10: “Conformity Bias and Catastrophic Social Change” in Tipping Points : Modelling Social Problems and Health, Bissell and Caiado et al., *Wiley* (2015).

**J. J. Bissell, **Chapter 1: “Generalised Compartmental Modelling of Health Epidemics”, in Tipping Points : Modelling Social Problems and Health, Bissell and Caiado et al., *Wiley* (2015).

**J. J. Bissell,** Chapter 2: “Dimensional Analysis and Dimensional Reasoning” in Ways of Thinking, Ways of Seeing, C. C. Bissell and C. Dillon, *Springer* (2012).

M. Read, R. J. Kingham, and** J. J. Bissell, **The influence of magnetised electron transport on thermal self-focusing and channelling of nanosecond laser beams, *Journal of Physics*: Conference Series, 717(1): 012111 (2016).

**J. J. Bissell,** Resilience of UK Infrastructure, Parliamentary Office of Science & Technology, POSTnote 362, *Publications of the U.K. Parliament* (2010).