Curriculum
Vita
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Research Information
Publications
Interesting Links
UNC Math Department
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Ashwin Vaidya
RTG Postdoctoral Fellow/Instructor
Department of Applied Mathematics
University of North carolina-Chapel Hill
Contact Information
Office: 336 Phillips Hall
Department of Mathematics
University of North Carolina
Chapel Hill, NC 27515
Phone: 919-962-9622
Fax: (919) 962-2568
E-mail: avaidya@email.unc.edu
Education
Postdoctoral Scholar/Instructor , Mathematics and Geophysical Fluid Dynamics Institute, Florida State University, 2005-2006.
Postdoctoral Associate, Mathematical Sciences, Carnegie Mellon University, 2004-2005.
Ph.D., Mechanical Engineering, University of Pittsburgh,
2004.
Advisor: Giovanni P. Galdi
M.S., Mathematics & Physics, University of Pittsburgh,
1998, 1999.
Advisor: George Sparling
B.Phil., Physics, Astronomy and Mathematics, Honors
College, University of Pittsburgh, 1995.
Advisor: Regina Schulte-Ladbeck
Research Interests
My research interest lies in the area of Applied Mathematics, Mathematical
Fluid Mechanics, Non-Linear Partial Differential
Equations, Hydrodynamic Stability, Non-Newtonian Fluid Mechanics,
Fluid-Structure Interaction, Experimental Fluid Mechanics and Philosophy of
Science. For my doctoral thesis, I worked on problems concerning the steady state
behavior of rigid bodies sedimenting in Newtonian and non-Newtonian fluids. I am, in general,
interested in problems concerning fluid structure interactions and non-Newtonian fluid flow and their
implications in as diverse fields as geophysics,
environmental fluid mechanics and biofluid mechanics.
Some Recent Publications
1. G.P.Galdi & A. Vaidya, Translational fall of symmetric bodies in a Navier-Stokes liquid with applications to
particle sedimentation, Journal of Mathematical Fluid Mechanics, 3, 183-211, 2001.
2. G.P.Galdi, A.Vaidya, M. Pokorny, D.D.Joseph & J.Feng,
Orientation of symmetric bodies falling in a second-order fluid at low
Reynolds numbers, Mathematics Models and Methods in Applied Sciences,
12, 1653-1690, 2002.
3. A. Vaidya, Existence of Steady Freefall of Rigid Bodies in a Second order
fluid with Applications to Particle Sedimentation, Nonlinear Analysis: Series B,
in press, 2005.
4. A. Vaidya and R. Wulandana, Nonlinear Stability for convection with
quadratic temperature dependent viscosity, Mathematical Methods in
the Applied Sciences, in press, 2006.
5. R.Camassa, R.McLaughlin,M.Moore and A.Vaidya Brachistochrone Paths in
Potential and Stokes Flow Past a Sphere , accepted for publication in Physics Letters A, 2008.
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