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Mathematics

Mathematics Staff - Professor William Phillips

Location:
EN710c Level 7
Engineering Building
Hawthorn Campus

Phone: +61-3-9214 8286
Fax: +61-3-9214 8264

Email: wphillips@swin.edu.au

Mathematics, H38
Swinburne University of Technology
PO Box 218
Hawthorn, Victoria, 3122
Australia

 

William Phillips
Professor
PhD (Cambridge), MS (McGill), BE (Adelaide)

Areas of Expertise and Research

  • Generalized Lagrangian mean theory, Singular parabolic partial differential equations, Nonlinear Instability theory, Intergro-differential equations, similarity theory, geophysical and biological fluid dynamics, wave mean interactions, Langmuir circulation, scientific computing

Current Reseach Projects

  • Langmuir circulation in shallow water with wave breaking; instability theory and large eddy simulation
  • Low order dynamical descriptions of Langmuir circulation
  • Instability to longitudinal roles over wavy terrain
  • Drop pinch off and singularities in finite time

Membership of Professional Organisations

  • American Physical Society
  • SIAM
  • New York Academy of Science
  • Sigma Xi

Selected Recent Publications

  1. Tjan, KK and Phillips, W.R.C., "On impulsively generated inviscid axisymmetric surface jet, waves and drops", Journal of Fluid Mechanics 576, 377-403 (2007)


  2. Phillips, W.R.C., "On the spacing of Langmuir circulation in strong shear", Journal of Fluid Mechanics 525, 215-236 (2005)


  3. Phillips, W.R.C., "Langmuir circulations beneath growing or decaying surface waves", Journal of Fluid Mechanics 469, 317-342 (2002)


  4. Phillips, W.R.C., "On an instability to Langmuir circulations and the role of Prandtl and Richardson numbers", Journal of Fluid Mechanics 442, 335-358 (2001)


  5. Phillips, W.R.C., "On the pseudomomentum and generalized Stokes drift in a spectrum of rotational waves", Journal of Fluid Mechanics 430, 209-229 (2001)


  6. Sakakibara, Jun and Hishida, Koichi and Phillips, W.R.C., "On the vortical structure in a plane impinging jet", Journal of Fluid Mechanics 434, 273-300 (2001)


  7. Phillips, W.R.C., "Eulerian space-time correlations in turbulent shear flows", Physics of Fluids 12, 2056-2064 (2000)


  8. Phillips, W.R.C., "Finite-amplitude rotational waves in viscous shear flows", Studies in Applied Mathematics 101, 23-47 (1998)


  9. Phillips, W.R.C., Wu, Z. & Jahnke, C.C., "The spreading radius of surface tension driven oil on deep water", Applied Scientific Research 57, 67-80 (1997)


  10. Phillips, W.R.C. & Shen, Q., "A family of wave-mean shear interactions and their instability to longitudinal vortex form", Studies in Applied Mathematics 96, 143-161 (1996)


  11. Phillips, W.R.C., "On a class of unsteady boundary layers of finite extent", Journal of Fluid Mechanics 319, 151-170 (1996)


  12. Phillips, W.R.C. Wu, Z. & Lumley, J.L., "On the formation of vortices in a turbulent boundary layer over wavy terrain", Journal of Fluid Mechanics 326, 321-341 (1996)