- Geomorphology, Turbulence, nonlinear hydrodynamic stability theory, computational fluid dynamics, boundary layer control, convection, lubrication theory, chaotic fluid motion, high Reynolds number flows

Prof Phil Hall is the Head of the School of Mathematical Sciences. His main research area is Applied Mathematics, in particular nonlinear hydrodynamic stability theory, computational fluid dynamics, boundary layer control, convection, lubrication theory, chaotic fluid motion, geomorphology of rivers, coherent structures in high Reynolds number flows.

A list on important publications include:

*Deguchi, K. and Hall, P. 2014 The high-Reynolds-number asymptotic development of nonlinear equilibrium states in plane Couette flow. J. Fluid Mech. 750, 99-112.

*Deguchi, K. and Hall, P. 2014 Canonical exact coherent structures embedded in high Reynolds number flows. Phil. Trans. Roy. Soc. A372, 1-20.

*Deguchi, K. and Hall, P. 2014b Free-stream coherent structures in growing boundary layers: a link to near-wall streaks. J. Fluid Mech. 778, 451-484.

*Hall, P. and Sherwin, S. 2010 Streamwise vortices in shear flows: harbingers of transition and the skeleton of coherent structures. J. Fluid Mech. 661, 178-205.

*Hall, P. 2006 Nonlinear evolution equations and the braiding of weakly transporting flows over gravel beds. Studies in Applied Mathematics 117, 27-69.

*Hall, P. and Papageorgiou, D. 1999 The onset of chaos in a class of Navier-Stokes solutions. J. Fluid Mech. 393, 59-87.

*Fu, Y. Hall, P. and Blackaby, N.D. 1993 On the Gortler instability in hypersonic flows: Sutherland Law fluids and real gas effects. Phil. Trans. Roy. Soc. A342, 325-377.

*Hall, P. and Smith, F.T. 1991 On strongly nonlinear vortex/wave interactions in boundary-layer transition. J. Fluid Mech. 227, 641-666.

*Denier, J. Hall, P. and Seddougui, S. 1991 On the receptivity problem for Gortler vortices: vortex motions induced by wall roughness. Phil. Trans. Roy. Soc. A335, 51-85.

*Hall, P. and Horseman, N.J. 1991 The linear inviscid secondary instability of longitudinal vortex structures in boundary layers. J. Fluid Mech. 232, 357-375.

*Hall, P. 1988 The nonlinear development of Gortler vortices in growing boundary layers. J. Fluid Mech. 193, 243-266.

*Hall, P. and Lakin, W.D. 1988 The fully nonlinear development of Gortler vortices in growing boundary layers. Proc. Roy. Soc. A415, 421-444.

*Hall, P. 1984 On the stability of the unsteady boundary layer on a cylinder oscillating transversely in a viscous fluid. J. Fluid Mech. 146, 347-367.

*Hall, P. Malik, M and Poll, D.I.A. 1984 On the stability of an infinite swept attachment line boundary layer. Proc. Roy. Soc. A395, 229-245.

*Hall, P. 1983 The linear development of Gortler vortices in growing boundary layers. J. Fluid Mech. 130, 41-58.

*Hall, P. 1982 Taylor-Gortler vortices in fully developed or boundary layer flows: linear theory. J. Fluid Mech. 124, 475-494.

*Hall, P. and Seminara, G. 1980 Nonlinear oscillations of non-spherical cavitation bubbles in acoustic fields. J. Fluid Mech. 101, 423-444.

*Hall, P. and Walton, I.C. 1977 The smooth transition to a convective regime in a two-dimensional box. Proc. Roy. Soc. A358, 199-221.

*Seminara, G. and Hall, P. 1976 Centrifugal instability of a

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