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John H. Cushman

Affiliations: 
Purdue University, West Lafayette, IN, United States 
Area:
Mathematics
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Flavio A. Bonilla grad student 2000 Purdue
Pawan P. Singh grad student 2002 Purdue
Natalie A. Kleinfelter grad student 2006 Purdue
Daniel O'Malley grad student 2011 Purdue
Xiaoliang Lu grad student 2012 Purdue

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Publications

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Xu W, Liang Y, Cushman JH, et al. (2020) Ultrafast dynamics modeling via fractional Brownian motion run with Mittag-Leffler clock in porous media International Journal of Heat and Mass Transfer. 151: 119402
Park M, Cushman JH, Mueterthies MJ. (2020) Homogenization of carbon-nanotube brush electrodes Computers & Mathematics With Applications. 79: 1177-1187
Xu W, Liang Y, Chen W, et al. (2019) A spatial structural derivative model for the characterization of superfast diffusion/dispersion in porous media International Journal of Heat and Mass Transfer. 139: 39-45
O'Malley D, Vesselinov VV, Cushman JH. (2015) Diffusive mixing and Tsallis entropy. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 91: 042143
Park M, Cushman JH. (2015) Upscaling Interpretation of Nonlocal Fields, Gradients, and Divergences Multiscale Modeling & Simulation. 13: 1136-1145
Cushman JH, O'Malley D. (2015) Fickian dispersion is anomalous Journal of Hydrology. 531: 161-167
Park M, Cushman JH, O'Malley D. (2014) Fractional Brownian motion run with a multi-scaling clock mimics diffusion of spherical colloids in microstructural fluids. Langmuir : the Acs Journal of Surfaces and Colloids. 30: 11263-6
Park M, O'Malley D, Cushman JH. (2014) Generalized similarity, renormalization groups, and nonlinear clocks for multiscaling. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 89: 042104
O'Malley D, Vesselinov VV, Cushman JH. (2014) A Method for Identifying Diffusive Trajectories with Stochastic Models Journal of Statistical Physics. 156: 896-907
O'Malley D, Cushman JH, Flesch LM. (2013) Global sensitivity analysis for a micropolar Stokes flow problem International Journal For Multiscale Computational Engineering. 11: 359-368
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