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Professor, Dept. of
Mathematics, McGill University
Burnside Hall, 805
Sherbrooke St. W.
Montreal, Que. H3A 2K6
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RESEARCH
INTERESTS
Hydrodynamic stability,
nonlinear waves in geophysical fluid dynamics and in vortices; resonant
wave interactions in boundary layers and in geophysical fluid dynamics; aeroacoustics
and numerical methods for solving partial differential equations arising in
the foregoing research areas. Also, some interest in the PDE approach to
mathematical finance.
PUBLICATIONS
Recent Journal Articles
30.Maslowe, S.A., Benney, D.J. and Mahoney,
D.J., "Wave Packet Critical Layers in Shear Flows", Stud. Appl.
Math. 91, 1-16 (1994)
31.Mallier, R. and Maslowe,
S.A.,
"Fully Coupled Resonant-Triad Interactions in a Free Shear
Layer", J. Fluid Mech. 278, 101-121 (1994).
32.Finlay, W.H., Liu, Chonghui and Maslowe,
S.A.,
"The Nonlinear Critical-Wall Layer in a Parallel Shear Flow",
Stud. Appl. Math. 94, 41-55 (1995).
33.Maslowe, S.A., "Wave Packet
Critical Layers in Stratified Shear Flows", Dyn. Atmos. & Oceans,
23, 115-123 (1996).
34.Campbell, L.J. and Maslowe, S.A.,
"Forced Rossby Wave Packets in Barotropic Shear Flows with Critical
Layers", Dyn. Atmos. & Oceans 28, 9-37 (1998).
35.Liu, Chonghui and Maslowe,
S.A.,
"A Numerical Investigation of Resonant Interactions in Adverse
Pressure Gradient Boundary Layers", J. Fluid Mech. 378, 269-289
(1999).
36.Mallier, R. and Maslowe,
S.A.,
"Weakly Nonlinear Evolution of a Wave Packet in a Zonal Mixing
Layer", Stud. Appl. Math. 102, 69-85 (1999).
37.Choboter, P.F., Brunet, G.
& Maslowe,S.A., "Forced Disturbances
in a Zero Absolute Vorticity Gradient Environment", J. Atmos. Sci. 57,
1406-1419 (2000)..
38.Campbell,L.J. and Maslowe, S.A.,
"A Nonlinear Numerical Simulation of the Critical Layer Evolution for
a Forced Rossby Wave Packet in a Zonal Shear Flow", Mathematics and Computers
in Simulation 55, 365-375 (2001).
Publications in Books
1."Shear
Flow Instabilities and Transition", Chapter 7 (pp. 181.228) in Hydrodynamic
Instabilities and the Transition to Turbulence (H.L. Swinney and J.P.
Gollub, Eds.), Springer.Verlag (1981).
2."Critical Layers in Shear Flows", Ann. Rev. Fluid Mech. 18,
405.432 (1986).
3."Waves in Shear Flows", (pp. 347.363) in Continuum Mechanics
and Its Applications (G.A. Graham and S.K. Malik, Eds.), Hemisphere
Publishing Corp. (1989).
4.Moreau, R.J., Pigny, S.L. and Maslowe,
S.A.,
"Amplitude Evolution of Interfacial Waves in Aluminum Reduction
Cells" in Liquid Metal Magnetohydrodynamics (J. Lielpeteris and R.
Moreau, eds.; Kluwer Academic Publishers) 197-204 (1989).
5.Moreau, R.J., Pigny, S.L. and Maslowe,
S.A.,
"Interfacial Instabilities and Waves in the Presence of a Transverse
Electric Current" in New Trends in Nonlinear Dynamics and Pattern
Forming Phenomena: The Geometry of Nonequilibrium (P. Coullet and P.
Huerre, eds.; Plenum Press). (p. 95-102)
6.Busse, F.H., Gollub, J.P., Maslowe, S.A. and Swinney, H.L., "Recent
Progress", Chapter 10, 2nd edition of Hydrodynamic Instabilites and
the Transition to Turbulence (ed. H.L. Swinney and J.P. Gollub; Berlin,
Springer) 289-302 (1985).
HONOURS & AWARDS
- SIAM Visiting Lecturer 1975-76,
1976.77
- J.S. Guggenheim Fellow,
1978-79 visiting Imperial
College and
University College London.
- Professeur Associé,
Chercheur Associé at CNRS and Professeur Invité, Institut National
Polytechnique de Grenoble, 1986-87.
- Cecil H. and Ida M. Green
Scholar at the Institute of Geophysics and Planetary Physics, University of California,
San Diego,
1994.
- Russell Severance Springer
Visiting Professor at the University of California,
Berkeley,
April-May 1999.
GRADUATE STUDENTS
1.P. Balagondar, M.Sc. completed in 1981 (Finite Amplitude Waves in a Model
Boundary Layer).
2.G. Deblonde, M.Sc. completed in 1981 (Instabilité Barotrope du Jet de
Bickley).
3.D. Collins, Ph.D. completed in 1982 (A Numerical Study of the Stability
of a Stratified Mixing Layer).
4.S. Melkonian, Ph.D. completed in 1987 (Nonlinear Waves on Thin Films and
Related Phenomena).
5.Patricia Leung, M.Sc. completed in 1992 (Weakly Nonlinear Stability
Theory of the Bickley Jet).
6.Lucy Campbell, M.Sc. completed in 1996 (Forced Rossby Wave Packets in a
Zonal Shear Flow in the Presence of Critical Layers); Ph.D. completed in
2000 (Nonlinear Critical Layer Development of Forced Wave Packets in
Geophysical Shear Flows).
7.Chonghui Liu, Ph.D. completed in 1997 (A Numerical Investigation of
Resonant Interactions in Adverse Pressure Gradient Boundary Layers).
8.Paul Choboter, M.Sc. completed in 1997 (Forced Rossby Waves in a Zero
Absolute Vorticity Gradient Environment).
COURSES
- 189-651 Asymptotic
Approximations and Perturbation Methods.
- 189-653 Special Topics in
Fluid Dynamics; Mathematical Methods of Geophysical Fluid Dynamics.
- 189-586 Advanced Boundary
and Initial Value Problems.
- 189-325 Ordinary
Differential Equations.
- 189-381 Complex Variables
- 189-224 Linear Algebra
LINKS
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