Curriculum Vita

Research Information

Publications

Math 383 (Differential Equations)




Interesting Links

UNC Math Department

Research Training Group




photo of Ashwin Vaidya Ashwin Vaidya

RTG Postdoctoral Fellow/Instructor
Department of Applied Mathematics


Contact Information

Office: 336 Phillips Hall
Department of Mathematics
University of North Carolina
Chapel Hill, NC 27515
Phone:
Fax:
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, Steady fall of bodies of arbitrary shape in a second-order fluid at zero Reynolds numbers, Japan Journal of Industrial and Applied Mathematics, Vol. 21, No. 3, 299-322, 2004.

4. 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.

5. A. Vaidya, Observations on the Transient Nature of Shape-tilting Bodies in Polymeric Fluids, Journal of Fluids and Structures, Vol. 22, No. 2, 253-259, 2006.

6. A. Vaidya and R. Wulandana, Nonlinear Stability for convection with quadratic temperature dependent viscosity, Mathematical Methods in the Applied Sciences, in press, 2006.