Dr Stephen Watson

  • Lecturer (Mathematics)

Research interests

Research Interests

Physics, Geometry and Analysis meet in the realm of nano-scale material science, generating novel multiple-scale partial differential equations (PDE) which pose new and significant mathematical challenge. My research is focused on the identification of those problems which require the application of new mathematical ideas to material science (EPSRC Annual Review of Mathematics 2010, http://www.epsrc.ac.uk/pubs/reports/Pages/internationalreviews.aspx)

Some areas of current interest include
i) The analysis and computation of Geometric PDE arising from the non-equilibrium thermo-mechanics of interfacial phase boundaries,
ii) Morphometric prediction for evolving networks, such as faceted surfaces, polycrystals and foams.

I also have a distinct strand of research in applied analysis, and in particular the theory of PDE that arise from continuum physics; e.g., priori estimates in thermoviscoelasticity/compressible Navier-Stokes.

Research Groups


Publications

Selected publications

All publications

List by: Type | Date

Jump to: 2017 | 2015 | 2012 | 2008 | 2007 | 2006 | 2003 | 2000
Number of items: 11.

2017

Watson, S. J. (2017) Lorentzian symmetry predicts universality beyond scaling laws. Europhysics Letters, 118(5), 56001. (doi: 10.1209/0295-5075/118/56001)

2015

Watson, S. J. (2015) Emergent parabolic scaling of nano-faceting crystal growth. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 471(2174), p. 20140560. (doi: 10.1098/rspa.2014.0560)

2012

Norris, S.A. and Watson, S.J. (2012) Mean-field theory for coarsening faceted surfaces. Physical Review E, 85(2), 021608. (doi: 10.1103/PhysRevE.85.021608)

Norris, S.A. and Watson, S.J. (2012) Simulating the kinematics of completely faceted surfaces. Journal of Computational Physics, 231(14), pp. 4560-4577. (doi: 10.1016/j.jcp.2012.02.030)

2008

Norris, S.A. , Davis, S.H. , Watson, S.J. and Voorhees, P.W. (2008) Faceted interfaces in directional solidification. Journal of Crystal Growth, 310(2), pp. 414-427. (doi: 10.1016/j.jcrysgro.2007.10.048)

2007

Norris, S.A. and Watson, S.J. (2007) Geometric simulation and surface statistics of coarsening faceted surfaces. Acta Materialia, 55(19), pp. 6444-6452. (doi: 10.1016/j.actamat.2007.08.014)

Zhang, J., Watson, S.J. and Wong, H. (2007) Fluid flow and heat transfer in a dual-wet micro heat pipe. Journal of Fluid Mechanics, 589, pp. 1-31. (doi: 10.1017/S0022112007007823)

2006

Watson, S.J. and Norris, S.A. (2006) Scaling theory and morphometrics for a coarsening multiscale surface, via a principle of maximal dissipation. Physical Review Letters, 96(17), p. 176103. (doi: 10.1103/PhysRevLett.96.176103)

2003

Watson, S.J. and Lewicka, M. (2003) Temporal asymptotics for the p’th power Newtonian fluid in one space dimension. Zeitschrift für Angewandte Mathematik und Physik, 54(4), pp. 633-651. (doi: 10.1007/s00033-003-1149-1)

Watson, S.J., Otto, F., Rubinstein, B.Y. and Davis, S.H. (2003) Coarsening dynamics of the convective Cahn-Hilliard equation. Physica D: Nonlinear Phenomena, 178(3-4), pp. 127-148. (doi: 10.1016/S0167-2789(03)00048-4)

2000

Watson, S. (2000) Unique global solvability for initial-boundary value problems in one-dimensional nonlinear thermoviscoelasticity. Archive for Rational Mechanics and Analysis, 153(1), pp. 1-37. (doi: 10.1007/s002050050007)

This list was generated on Tue Sep 22 09:03:46 2020 BST.
Jump to: Articles
Number of items: 11.

Articles

Watson, S. J. (2017) Lorentzian symmetry predicts universality beyond scaling laws. Europhysics Letters, 118(5), 56001. (doi: 10.1209/0295-5075/118/56001)

Watson, S. J. (2015) Emergent parabolic scaling of nano-faceting crystal growth. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 471(2174), p. 20140560. (doi: 10.1098/rspa.2014.0560)

Norris, S.A. and Watson, S.J. (2012) Mean-field theory for coarsening faceted surfaces. Physical Review E, 85(2), 021608. (doi: 10.1103/PhysRevE.85.021608)

Norris, S.A. and Watson, S.J. (2012) Simulating the kinematics of completely faceted surfaces. Journal of Computational Physics, 231(14), pp. 4560-4577. (doi: 10.1016/j.jcp.2012.02.030)

Norris, S.A. , Davis, S.H. , Watson, S.J. and Voorhees, P.W. (2008) Faceted interfaces in directional solidification. Journal of Crystal Growth, 310(2), pp. 414-427. (doi: 10.1016/j.jcrysgro.2007.10.048)

Norris, S.A. and Watson, S.J. (2007) Geometric simulation and surface statistics of coarsening faceted surfaces. Acta Materialia, 55(19), pp. 6444-6452. (doi: 10.1016/j.actamat.2007.08.014)

Zhang, J., Watson, S.J. and Wong, H. (2007) Fluid flow and heat transfer in a dual-wet micro heat pipe. Journal of Fluid Mechanics, 589, pp. 1-31. (doi: 10.1017/S0022112007007823)

Watson, S.J. and Norris, S.A. (2006) Scaling theory and morphometrics for a coarsening multiscale surface, via a principle of maximal dissipation. Physical Review Letters, 96(17), p. 176103. (doi: 10.1103/PhysRevLett.96.176103)

Watson, S.J. and Lewicka, M. (2003) Temporal asymptotics for the p’th power Newtonian fluid in one space dimension. Zeitschrift für Angewandte Mathematik und Physik, 54(4), pp. 633-651. (doi: 10.1007/s00033-003-1149-1)

Watson, S.J., Otto, F., Rubinstein, B.Y. and Davis, S.H. (2003) Coarsening dynamics of the convective Cahn-Hilliard equation. Physica D: Nonlinear Phenomena, 178(3-4), pp. 127-148. (doi: 10.1016/S0167-2789(03)00048-4)

Watson, S. (2000) Unique global solvability for initial-boundary value problems in one-dimensional nonlinear thermoviscoelasticity. Archive for Rational Mechanics and Analysis, 153(1), pp. 1-37. (doi: 10.1007/s002050050007)

This list was generated on Tue Sep 22 09:03:46 2020 BST.

R436 Level 4, Mathematics, Mathematics Building, Glasgow G12 8QW,