Dr John Bissell
Research Interests: Applied Mathematics
My current research lies mainly in continuum mechanics and stability, with particular application to so-called `tipping point’ systems, that is, systems which undergo transitions between markedly different states following small changes to key parameters. Present interests include:
- Thermal convection and buoyancy driven instabilities in fluids
- Non-linear waves (particularly discontinuity waves)
- Behavioural transmission dynamics as epidemics
- Pedestrian flow and crowd dynamics
Research Interests: Theoretical Plasma Physics
In addition to my research on `tipping points' in applied mathematics, I also work on related problems in theoretical plasma physics. In this area I focus on:
- Electromagnetic instability (especially magnetothermal instability)
- Collisional transport theory and magnetic field dynamics
- Computational modelling of transport with coupled magnetohydrodynamics
Teaching: Laplace Transforms and Multiple Integrals (Michaelmas Term 2013)
This year I am lecturing the second-year undergraduate engineering course "Laplace Transforms and Multiple Integrals" (confusingly part of the Numerical Methods series, 2H Engineering). Sets of outline notes will be posted on this page (below) in advance of lectures, while solutions to the problem sheet will be made available at the end of term:
- Lecture Handout
- Additional Comments on Example 3 of Lecture 1
- Problem Sheet
- Solutions I
- Solutions II
- Solutions III
Students: Please advise me of errors. If I correct the notes, then revisions will be uploaded throughout term.
- Computational Applied Mathematics
Journal papers: academic
- Bissell, J. J. (2015). Nernst Advection and the Field-Generating Thermal Instability Revisited. Journal of Plasma Physics 81(01): 905810108.
- Bissell, J. J. (2015). On oscillatory convection with the Cattaneo-Christov hyperbolic heat-flow model. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471(2175): 20140845.
- Bissell, J. J., Caiado, C. C. S., Goldstein, M. & Straughan, B. (2014). Compartmental modelling of social dynamics with generalised peer incidence. Mathematical models and methods in applied sciences 24(4): 719–750.
- Bissell, J. J. & Straughan, S. (2014). Discontinuity waves as tipping points: Applications to biological & sociological systems. Discrete and Continuous Dynamical Systems - Series B 19(7): 1911-1934.
- Bentley, R. A., Maddison, E. J., Ranner, P. H., Bissell, J. J., Caiado, C. C. C. S., Bhatanacharoen, P., Clark, T., Botha, M., Akinbami, F., Hollow, M., Michie, R., Huntley, B., Curtis, S. E. & Garnett, P. R. (2014). Social tipping points and Earth systems dynamics. Frontiers in Environmental Science 2: 35.
- Williams, B. E. R., Kingham, R. J. & Bissell, J. J. (2013). Heat flux effects on magnetic field dynamics in solid density plasmas traversed by relativistic electron beams. Plasma Physics and Controlled Fusion 55(9): 095005.
- Bissell, J. J., Ridgers, C. P. & Kingham, R. J. (2013). Super-Gaussian transport theory and the field-generating thermal instability in laser-plasmas. New Journal of Physics 15(2): 025017.
- Bissell, J. J., Kingham, R. J. & Ridgers, C. P. (2012). Magnetothermal instability in laser plasmas including hydrodynamic effects. Physics of Plasmas 19(5): 052107.
- Bissell, J. J., Ridgers, C. P. & Kingham, R. J. (2010). Field Compressing Magnetothermal Instability in Laser Plasmas. Physical Review Letters 105(17): 175001.
- Bissell, J.J. (2012). Dimensional analysis and dimensional reasoning. In Ways of Thinking, Ways of Seeing Mathematical and Other Modelling in Engineering and Technology. Bissell, C.C. & Dillon, C. Berlin: Springer. 29-47.
Other publications: research
- Bissell, J.J. (2010). Resilience of UK Infrastructure - POST Note. London: Parliamentary Office of Science and Technology (POST). POST Note (362).