Research Interests
Hydrodynamic stability, nonlinear waves in geophysical fluid dynamics and in vortices; stability of 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.
Recent Journal Articles
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Feys, J. and Maslowe, S.A., "Elliptical Instability of the Moore-Saffman Model for a Trailing Wingtip Vortex", J. Fluid Mech. 803, 556-590 (2016) doi:10.1017/jfm.2016.512
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Feys, Jan and Maslowe, Sherwin A., "Linear Stability of the Moore-Saffman Model for a Trailing Wingtip Vortex", Phys. Fluids 26, 02418 (2014) doi:10.1063/4865838
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Feys, Jan and Maslowe, Sherwin A., "Long Nonlinear Surface Waves in the Presence of a Variable Current", Stud. Appl. Math. 126, 303-318 (2011) doi:10.1111/j.1467-9520.00506.x
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Maslowe, S.A. and Nigam, N., "The Nonlinear Critical Layer for Kelvin Modes on a Vortex with a Continuous Velocity Profile ", SIAM J. Appl. Math. 68, No. 3, 825-843 (2008)
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Perrault-Joncas, Dominique and Maslowe, Sherwin A., "Linear Stability of a Compressible Coaxial Jet with Continuous Velocity and Temperature Profiles", Phys. Fluids 20, 074102 (2008) doi:10.1063/1.2946443
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Caillol, P. and Maslowe, S.A., "The Small Vorticity Nonlinear Critical Layer for Kelvin Modes on a Vortex", Stud. Appl. Math. 118, 221-254 (2007)
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Campbell, L.J. and Maslowe, S.A., "Nonlinear Critical Layer Evolution of a Forced Gravity Wave Packet ", J. Fluid Mech. 493, 151-179 (2003)
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Maslowe, S.A. and Clarke, S.R., "Subcritical Rossby Wavesin Zonal Shear Flows with Nonlinear Critical Layers", Stud. Appl. Math. 108, 89-103 (2002)
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Burns, A.G., Maslowe, S.A. and Brown, S.N., "Barotropic Instability of the Bickley Jet at High Reynolds Numbers", Stud. Appl. Math. 109, 279-296 (2002)
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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)
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Choboter, P.F., Brunet, G. & Maslowe,S.A., "Forced Disturbances in a Zero Absolute Vorticity Gradient Environment ", J. Atmos. Sci. 57, 1406-1419 (2000)
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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)
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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)
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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)
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Maslowe, S.A., "Wave Packet Critical Layers in Stratified Shear Flows ", Dyn. Atmos. & Oceans, 23, 115-123 (1996)
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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)
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Maslowe, S.A., Benney, D.J. and Mahoney, D.J., "Wave Packet Critical Layers in Shear Flows ", Stud. Appl. Math. 91, 1-16 (1994)
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Mallier, R. and Maslowe, S.A., "Fully Coupled Resonant-Triad Interactions in a Free Shear Layer ", J. Fluid Mech. 278, 101-121 (1994
Publications in Books
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"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).
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"Critical Layers in Shear Flows ", Ann. Rev. Fluid Mech. 18, 405.432 (1986).
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"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).
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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).
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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)
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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
- P. Balagondar, M.Sc. completed in 1981 (Finite Amplitude Waves in a Model Boundary Layer)
- G. Deblonde, M.Sc. completed in 1981 (Instabilité Barotrope du Jet de Bickley)
- D. Collins, Ph.D. completed in 1982 (A Numerical Study of the Stability of a Stratified Mixing Layer)
- S. Melkonian, Ph.D. completed in 1987 (Nonlinear Waves on Thin Films and Related Phenomena
- Patricia Leung, M.Sc. completed in 1992 (Weakly Nonlinear Stability Theory of the Bickley Jet)
- 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)
- Chonghui Liu, Ph.D. completed in 1997 (A Numerical Investigation of Resonant Interactions in Adverse Pressure Gradient Boundary Layers)
- Paul Choboter, M.Sc. completed in 1997 (Forced Rossby Waves in a Zero Absolute Vorticity Gradient Environment)
- Dominique Perrault-Joncas, M.Sc. completed in 2007 (Linear Stability of Coaxial Jets with Application to Aeroacoustics)
- Jan Feys, Ph.D. completed in 2015 (Waves on Shear and Vortex Flows and the Stability of the Moore-Saffman Model for a Wingtip Vortex))
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