Dr Stephen Watson

  • Lecturer (Mathematics)

telephone: 0141-330-5416
email: Stephen.Watson@glasgow.ac.uk

R436 Level 4
Mathematics
Mathematics Building
Glasgow G12 8QW


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

Selected publications | View all publications

Norris, S.A., and Watson, S.J. (2012) Mean-field theory for coarsening faceted surfaces. Physical Review E, 85 (2). 021608. ISSN 1539-3755 (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. ISSN 0021-9991 (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. ISSN 0022-0248 (doi:10.1016/j.jcrysgro.2007.10.048)

All publications | View selected publications

List all by: Type | Date

Jump to: 2012 | 2008 | 2007 | 2006 | 2003
Number of items: 8.

2012

Norris, S.A., and Watson, S.J. (2012) Mean-field theory for coarsening faceted surfaces. Physical Review E, 85 (2). 021608. ISSN 1539-3755 (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. ISSN 0021-9991 (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. ISSN 0022-0248 (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. ISSN 1359-6454 (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. ISSN 0022-1120 (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. ISSN 0031-9007 (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. ISSN 0044-2275 (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. ISSN 0167-2789 (doi:10.1016/S0167-2789(03)00048-4)

This list was generated on Tue Sep 23 09:19:13 2014 BST.
Jump to: Article
Number of items: 8.

Article

Norris, S.A., and Watson, S.J. (2012) Mean-field theory for coarsening faceted surfaces. Physical Review E, 85 (2). 021608. ISSN 1539-3755 (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. ISSN 0021-9991 (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. ISSN 0022-0248 (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. ISSN 1359-6454 (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. ISSN 0022-1120 (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. ISSN 0031-9007 (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. ISSN 0044-2275 (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. ISSN 0167-2789 (doi:10.1016/S0167-2789(03)00048-4)

This list was generated on Tue Sep 23 09:19:13 2014 BST.