Publications

Theses

1. A. Vaidya, On the Polarization Observations of Herbig Ae/Be Stars, B.Phil Thesis, University Honors College, University of Pittsburgh, 1995.

2. A. Vaidya, On the Classical and Quantized Solutions of the Perturbed Wave Equations with External Potential, M.S. Thesis, Department of Mathematics, University of Pittsburgh, 1999.

3. A. Vaidya, Orientation of Rigid Bodies Freefalling in Newtonian and Non-Newtonian Fluids, Ph.D. Thesis, Department of Mechanical Engineering, University of Pittsburgh, 2004.

Refereed Publications

  • 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.

  • 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 , Mathematical Models and Methods in Applied Sciences, 12, 1653-1690, 2002.

  • A.Vaidya & G.A.J.Sparling, Classical solutions of the perturbed wave equation with singular kernel, Acta Math Univ. Comenianae, Vol. 72, No.2, 65-75, 2003.

  • A.Vaidya, Steady fall of bodies of arbitrary shape in a second-order fluid at zero Reynolds numbers, Japan Journal of Industrial and Applied Math., Vol. 21, No. 3, 299-322, 2004.

  • A.Vaidya & G.A.J. Sparling, The perturbed massless, wave equation with singular external potential , Trends in Mathematical Physics Series, Ed. Charles Benton, Nova Science Publishers, 2004.

  • A. Vaidya, A Note on the Orientation of Symmetric Rigid Bodies Sedimenting in a Power-Law Fluid, Applied Math Letters, 18(12), 1332-1338, 2005.

  • A. Vaidya & B.J. Chung, An Axiomatization of Realities, to appear in Mathematical Connections , 2006.

  • A. Vaidya, Existence of Steady Freefall of Rigid Bodies in a Second order fluid with Applications to Particle Sedimentation, Nonlinear Analysis(Series B): Real World Applications, Vol. 7, Issue 4,748-768, 2006.

  • A. Vaidya , Observations on the transient nature of shape-tilting bodies sedimenting in polymeric liquids , Journal of Fluids and Structures, Vol. 22, No. 2, 253-259, 2006.

  • A. Vaidya and R. Wulandana, Nonlinear Stability for Convection with Quadratic Temperature Dependent Viscosity , Mathematical Methods in the Applied Sciences, Volume 29, Issue 13, p 1555-1561, 2006.

  • B.J. Chung, A. Vaidya and R. Wulandana, Stability of Channel Flow with Linear Temperature Dependent Viscosity, International Journal of Applied Mathematics and Mechanics, Volume 2, Issue 1, 24 - 33, 2006.

  • M. Massoudi, A. Vaidya and R. Wulandana, Natural Convection Flow of a Generalized Second Order Fluid between Vertical Plates, , Nonlinear Analysis (Series B): Real World Applications, Volume 9, Issue 1, Pages 80-93, 2008.

  • M. Massoudi and A. Vaidya, On Some Generalizations of the Second Grade Fluid Model, Nonlinear Analysis (Series B): Real World Applications, Volume 9, Issue 3, Pages 1169-1183, 2008.

  • B.J. Chung and A. Vaidya, An Optimal Principle in Fluid-Structure Interaction, accepted for publication in Physica D, 2008.

  • 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.

  • R.Camassa, BJ. Chung, P. Howard, R.McLaughlin and A.Vaidya Vortex Induced Oscillations of a Cylinder at Low and Intermediate Reynolds Numbers, submitted to Advances in Mathematical Fluid Mechanics: A tribute to Giovanni Paolo Galdi, Editors: A. Sequeira, J. Janela and F. Carapau, Springer Verlag, 2009.

  • B.J. Chung and A. Vaidya, On the slow motion of a sphere in fluids with non-constant viscosities, accepted for publication in International Journal of Engineering Science, 2009.

  • S. Chatla, S.Kadam, D. Kolluru, S. Sinha and A. Vaidya, Complex networks and SOA: A study of granularity based web service compositions, submitted, 2009.

    Articles in Preparation

    1. A. Vaidya, B.J. Chung and G. P. Galdi, Gravitational Settling of Symmetric Bodies in Generalized Second Order Fluids: The Tilt Angle Effect, in preparation, 2009.

    2. G.P. Galdi & A. Vaidya, On the Coupled Fluid-Solid Problem of Translational and Rotational Motion of a Rigid Body in a Second order Fluid, in preparation, 2009.

    3. A. Silvestre & A. Vaidya, Existence of solutions to the flow of a a generalized second order fluid past a moving body, in preparation, 2009.

    4. Camassa, McLaughlin and A. Vaidya, Energy criterion for arrestment of a sphere falling in a stratified fluid, in preparation, 2009.