Publications of Anthony Harkin


• Dynamics of a thin liquid film flowing down a wavy incline, in preparation.
  
  
• Energy transfer between the shape and volume modes of a nonspherical gas bubble,, to appear Physics of Fluids, (2013), with T.J. Kaper and A. Nadim.
  
  
• Automatic clustering of multispectral imagery by maximization of the graph modularity, Proceedings of SPIE, Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery XVII, Vol. 8048, 80480Z-3, (2011), with R.A. Mercovich and D. Messinger.
  
  
• Traffic, Encyclopedia of Mathematics and Society (Editors: Sarah J. Greenwald and Jill E. Thomley), Salem Press, (2011).
  
  
• Model for evaluating patterned charge-regulation contributions to electrostatic interactions between low-dielectric spheres, Physical Review E 82, 031402 (2010), with D. Hollenbeck, K.M. Martini, A. Langner, D.S. Ross, and G.M. Thurston.
  
  
• Utilizing the graph modularity to blind cluster multispectral satellite imagery, IEEE Proceedings of the 2010 Western New York Image Processing Workshop, 66-69, (2010), with R.A. Mercovich and D. Messinger.
  
  
• Analysis of a renormalization group method and normal form theory for perturbed ordinary differential equations, Physica D: Nonlinear Phenomena 237(8), 1029-1052 (2008), with R.E. Lee DeVille, Matt Holzer, Kreso Josic, and T.J. Kaper.
  
  
• Thermal and fluid processes of a thin melt zone during femtosecond-laser ablation of glass: the formation of rims by single laser pulses, Journal of Physics D: Applied Physics 40, 1447-1459 (2007), with A. Ben-Yakar, J. Ashmore, R.L. Byer, and H.A. Stone.
  
  
• Geometry of generalized complex numbers, Mathematics Magazine 77(2), 118-129 (2004), with J.B. Harkin.
  
  
• Morphology of femtosecond-laser ablated borosilicate glass surfaces, Applied Physics Letters 83(15), 3030-3032 (2003), with A. Ben-Yakar, R.L. Byer, J. Ashmore, H.A. Stone, M. Shen, and E. Mazur.
  
  
• Generalizing Pick's rule for area measure in tessellated planes, New York State Mathematics Teachers' Journal 52(1), 49-53 (2002), with J.B. Harkin.
  
  
• Coupled pulsation and translation of two gas bubbles in a liquid, Journal of Fluid Mechanics 445, 377-411 (2001), with T.J. Kaper and A. Nadim.
  
  
• Nonlinear dynamics of gas bubbles in liquids, Ph.D. Dissertation, Boston University, (2000).
  
  
• On acoustic cavitation of slightly subcritical bubbles, Physics of Fluids 11(2), 274-287 (1999), with A. Nadim and T.J. Kaper.
  
  
• Spectral element computations of rotating flows in complex geometries, Proceedings of the First Asian International Conference on Computational Fluid Dynamics, Hong Kong (1995), with F. Waleffe.
  
  
• A Legendre spectral element method for the rotational Navier-Stokes equations, Masters Thesis, MIT (1995).