Dr. John Cushman
 Dr. John Cushman

University Distinguished Professor

E-mail: jcushman@purdue.edu

Curriculum Vitae <pdf>

Associated Website(s): http://www.math.purdue.edu/~jcushman/jcushman.html

 

Education

B.S. - Math - Iowa State University, 1975

M.S. - Math & Agronomy - Iowa State University, 1976

Ph.D. - Math & Agronomy - Iowa State University, 1978

Research Interests

Physics of fluids in porous media, Stochastic processes, Computational chemistry, Swelling media

Teaching Interests

Agronomy 675/Math 698 Physics of Fluids in Porous Media
    (taught in both Math and Agronomy at the 600 level)
Agronomy 498 Unsaturated Zone Hydrology

Other courses taught:   The Physics of Nanofilms, Dispersion in Porous Media, Advanced Topics in Continuum Mechanics, Stochastic Hydrology, Continuum and Statistical Mechanics of Elasticity, Stochastic Transport Processes, Advanced Soil Physics, Stochastic Soil Physics, Multiphase Transport, Numerical Methods in Hydrology, Statistical Mechanics with Applications to Clay-Water Systems, Soil Physical Properties.

EAS 591C Mathematics of Upscalling
EAS 591D Analysis of Spatial/Temporal Proc. Gphys.

Awards and Honors

  • Fellow, American Geophysical Union, 1996

  • Purdue University Herbert Newby McCoy Award, 1995, given in honor of the faculty member who made the most significant contribution to science during the previous year

  • Editor-in-Chief: the International Journal of Stochastic Hydrology and Hydraulics, 1992-1997

  • Guest Editor: special volume on Fractal Porous Media for the Journal of Transport in Porous Media 13(1), 1993

  • Member of the International Editorial Board of the journal: Transport in Porous Media, 1991-

  • Member of the Editorial Board of the journal: Water Resources Research, 1990-

  • Member of the International Editorial Board of the journal: Stochastic Hydrology and Hydraulics, 1990-1992

  • Member of the International Editorial Board of the journal: Advances in Water Resources, 1986-1988

  • Fellow, Soil Science Society of America, 1990

  • Appointed by Secretaries of Energy Hodel and Herrington to be a member of the Secretary of Energy's Subcommittee on Ecology, 1985-1986

  • Appointed by Secretaries of Energy Hodel and Herrington to be a member of the Secretary of Energy's Health and Environmental Research Advisory Committee, 1985-1988

  • Purdue University Agriculture Research Award for development of a model to simulate uptake of ions by growing roots, 1983

Professional Experience

  • 2001 (Fall) Visiting Scholar, Dept. of Molecular and Cellular Biology, Harvard University 

  • 1998 (Fall) Visiting Professor of Environmental Fluid Mechanics, University of Rome I (La Sapienza) 

  • 1995 (Fall) Visiting Professor of Applied Mathematics, Departmento de Matematica, PUC-RIO, Brazil 

  • 1995 - Professor of Mathematics, Purdue University 

  • 1994 - 1995 Visiting Professor of Applied Mathematics, Purdue University

  • 1985 - 1988 President, Hydroscience Associates, Inc. 

  • 1984 - 1988 Director of the Indiana Water Resources Research Center 

  • 1985 - Professor of Agronomy (Environmental Physics), Purdue University

  • 1982 - 1985 Associate Professor of Agronomy (Environmental Physics), Purdue University 

  • 1978 - 1982 Assistant Professor of Agronomy (Environmental Physics), Purdue University 

Selected Publications

  • Kleinfelter-Domelle*, N., M. Moroni* and J.H. Cushman (2008) The Generalized Dispersion Tensor Revisited: Theory and Calculation for Homogeneous Porous Media. Phys Fluids (submitted).

  • Cushman, J. H. (2008) Why Does Dispersivity Often Grow as a Power Law in Time? An Answer. Water Resour Res (submitted).

  • Cushman, J.H., M. Park* and D. O’Malley* (2008) The Chaotic Dynamics of Anomalous Diffusion as Modeled by a Non-stationary Extension of Brownian Motion. Phys Rev Lett (submitted).

  • Park*, M. and J. H. Cushman (2008) Operator-Stable Levy Motions and Renormalizing the Chaotic Dynamics of Microbes in Anisotropic Porous Media. SIAM Multiscale Modeling and Simulation (in press)

  • Parashar*, R., D. O’Malley* and J. H. Cushman (2008) Mean First Passage Time for Super-Diffusion in a Slit-Pore with Sticky Boundary. Phys. Rev. E. (in press).

  • Cushman, J.H., M. Moroni*, N. Kleinfelter-Domelle* and M. Park* (2008) A Universal Field Equation for Dispersive Processes in Geophysics. J. Geophysical Research (submitted).

  • Moroni*, M., A. Cenedese and J.H. Cushman (2008) Application of 3D-PTV to Track Passive Scalars in Porous Media. Transport in Porous Media (in press).

  • Moroni*, M., N. Kleinfelter-Domelle* and J. H. Cushman (2008) Novel Measures of Dispersion Applied to a Convoluted Channel. Advances in Water Resources (in press). 4

  • Parashar*, R. and J. H. Cushman (2008) Scaling the Fractional Advective-Dispersive Equation for Numerical Evaluation of Microbial Dynamics in Confined Geometries With Sticky Boundaries. J Computational Physics 227:6598-6611.

  • Weinstein*, T., J. H. Cushman and L. S. Bennethum* (2008) Two-Scale, Three-Phase Theory for Swelling Drug Delivery Systems. Part I: Mixture Theory. J. Pharm Sci 97(5): 1878-1903.

  • Weinstein*, T., J. H. Cushman and L. S. Bennethum* (2008) Two-Scale, Three-Phase Theory for Swelling Drug Delivery Systems. Part II: Flow and Transport. J. Pharm Sci 97(5): 1904-1915.

  • Parashar*, R., and J. H. Cushman (2007) The finite-size Lyapunov exponent for Levy motions. Phys Rev E. 76, 017201-1 to 017201-4

  • Moroni*, M., N. Kleinfelter* and J. H. Cushman (2007) Analysis of dispersion in porous media via matched index particle tracking velocimetry experiments. Advances in Water Resources. 30: 1-15.

  • Kleinfelter*, N., M. Park* and J. H. Cushman (2007) Mixture theory for unsaturated flow in swelling soils. Transport in Porous Media 68 (1): 69-89.

  • Bonilla*, F. A., N. Kleinfelter* and J.H. Cushman (2007) Microfluidic Aspects of Adhesive Microbial Dynamics, Advances Water Resources 30: 1680-1695.

  • Kleinfelter*, N. and J. H. Cushman (2007) Nonreactive contaminant transport in the saturated zone, Ch 18 in Handbook of Groundwater Engineering, 2nd addition., (ed) J. Delleur. CRC Press, pp18-1 to 18-18.

  • Cushman, J.H. and T. R. Ginn* (2007) Reactive contaminant transport in the saturated zone, Ch 19 in Handbook of Groundwater Engineering, 2nd addition., (ed) J. Delleur. CRC Press, pp19-1 to 19-29.

  • Park*, M. and J. H. Cushman (2006) On upscaling operator-stable Levy motions in fractal porous media. J. Comp. Phys. 217:159-165.

  • Park*, M., N. Kleinfelter* and J. H. Cushman (2006) Renormalizing chaotic dynamics in fractal porous media with application to microbe motility. Geophysical Research Letters, 33, L01401, 1-4.

  • Park*, M., N. Kleinfelter* and J. H. Cushman (2005) Scaling laws and Fokker-Planck equations for 3-dimensional porous media with fractal mesoscale. SIAM Multiscale Modeling and Simulation, 4(4): 1233-1244.

  • Cushman, J.H. and M. Moroni (2001) Statistical mechanics with 3D-PTV experiments in the study of anomalous dispersion: Part I. Theory. Phys. Fluids 13(1):75-80

  • Cushman, J.H., X. Hu, T.R. Ginn (1994) Nonequilibrium statistical mechanics of preasymptotic dispersion. J. Stat. Phys. 75:859-878.

  • Diestler, D.J., M. Schoen, J.H. Cushman (1993) On thermodynamic stability of confined thin films under shear. Science 262:545-547.

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