Recent Publications

P. Kumi and V.V. Yakovlev, Computational procedure for quantitative characterization of uniformity of high frequency heating, Proc. 53rd IMPI’s Microwave Power Symp. (Las Vegas, NV, June 2019), pp. 123125.

A.A. Mohekar, B.S. Tilley, and V.V. Yakovlev, A 2D model of a triple layer electromagnetic heat exchanger with porous media flow, In: 2019 IEEE/MTTS Intern. Microwave Symp. (Boston, MA, June 2019), pp. 5962, 9781728113098/19.
 Yuecai Han, Qingshuo Song, Gu Wang, Exit Problems as Generalized Solutions of Dirichlet Problems, SIAM Journal on Control and Optimization, 57 (2019), No. 4, 23922414.
 Paolo Guasoni, Antonella Tolomeo, Gu Wang, Should Commodity Investors Follow Commodities’ Prices? SIAM Journal on Financial Mathematics, 10 (2019), No.2, 466490.
 Paolo Guasoni, Gu Wang, Consumption and Investment with Stochastic Interest Risk, Journal of Mathematical Mathematical Analysis and Applications, 476 (2019), No.1, 215239.
 M.Humi and J. Roumas Structure of polytropic stars in General Relativity Astrophysics and Space Science 364(7) June 2019 DOI: 10.1007/s105090193608y
 Shazeeb, M. S., Howes, S., Kandasamy, S., Peiris, T. B., Sotak, C. H., Pins, G. D., “Developing Quantitative MRI Parameters to Characterize host Response and Tissue Ingrowth into Collagen Scaffolds”, NMR in Biomedicine. DOI: 10.1002/nbm.4059 https://www.ncbi.nlm.nih.gov/pubmed/30657204
 A.A. Mohekar, B.S. Tilley, V.V. Yakovlev, A 2D model of a triple layer electromagnetic heat exchanger with porous media flow, 2019 IEEE MTTS Intern. Microwave Symp., Boston, MA, June 2019.

J.M. Gaone, B.S. Tilley, and V.V. Yakovlev, Electromagnetic heating control via highfrequency resonance of a triplelayer laminate, J. of Engineering Math., vol 114, no 1, pp. 6586, 2019.

P. Kumi, J.S. Venne, V.V. Yakovlev, M.S. Hilario, B.W. Hoff, and I.M. Rittersdorf, Computational characterization of a composite ceramic layer for a millimeter wave heat exchanger, Proc. 12th Intern. Conf. on Scientific Computing in Electrical Engineering (SCEE 2018) (Taormina, Italy, September 2018), pp. 99100.

E.M. Moon and V.V. Yakovlev, Computeraided design of a dielectric insert supporting uniformity of fast microwave heating, COMPEL – The Intern. J. for Computation and Mathematics in Electrical and Electronic Engng, vol. 37, no 6, pp. 19581968, 2018.
 M. Humi, Satellite Orbits in LeviCivita Space, Advances in Space Research, 61 Issue 5, pp. 12981306 March 2018.
 B.W. Hoff, M.S. Hilario, B. Jawdat, A.E. Baros, F.W. Dynys, J.A. Mackey, V.V. Yakovlev, C.E. Andraka, K.M. Armijo, E. Savrun, and I.M. Rittersdort, Millimeter wave interactions with high temperature materials and their applications to power beaming, Proc. 52nd IMPI’s Microwave Power Symp. (Long Beach, CA, June 2018), pp. 8283.
 A. Mohekar, J.M. Gaone, B.S. Tilley, and V.V. Yakovlev, Multiphysics simulation of temperature profiles in a triplelayer model of a microwave heat exchanger, Proc. 52nd IMPI’s Microwave Power Symp. (Long Beach, CA, June 2018), pp. 3335.
 A.A. Mohekar, J.M. Gaone, B.S. Tilley, and V.V. Yakovlev, A 2D coupled electromagnetic, thermal and fluid flow model: application to layered microwave heat exchangers, In: IEEE MTTS Intern. Microwave Symp. Dig. (Philadelphia, PA, June 2018), pp. 13891392.
 V.V. Yakovlev, Effect of frequency alteration regimes on the heating patterns in a solidstatefed microwave cavity, J. Microwave Power & Electromagnetic Energy, 52, no 1, pp. 31–44, 2018
 M. Humi, Analytic Solutions for Long’s Equation and its Generalization, Nonlin. Proc. in Geophysics, 24, pp. 727735 (2017)
 M. Humi, Solutions to Painleve III and Other Nonlinear Equations by a Generalized ColeHopf Transformation, Math. Meth. Appl. Sci., 40 pp. 40924101, (2017)
 M. Humi, Introduction to Mathematical Modeling, CRC Press, 2017.
 J.M. Gaone, B.S. Tilley, and V.V. Yakovlev, Permittivitybased control of thermal runaway in a triplelayer laminate, In: IEEE MTTS Intern. Microwave Symp. Dig. (Honolulu, HI, June 2017), 4 p., 9781509063604.
 E.M. Kiley and V.V. Yakovlev, Twodimensional multiphysics model of microwave sintering, In: IEEE MTTS Intern. Microwave Symp. Dig. (Honolulu, HI, June 2017), 4 p., 9781509063604.
 S. Vaucher, V.V. Yakovlev, and H. Yeung, Materials with required dielectric properties: computational development and production of polymerceramic composites, Polymer Engineering and Science, 57, 2017, 8 p., DOI 10.1002/pen.
 K.A. Lurie, D. Onofrei, W.C. Sanguinet, S.L. Weekes, and V.V. Yakovlev, Energy accumulation in a functionally graded spatialtemporal checkerboard, IEEE Antennas and Wireless Propag. Lett., 16, pp. 14961499, 2017.
 B.S. Tilley, V.C. Yang, J.C. Baiense, S. Evans, “Frequencydependent thermal resistance of vertical Utube geothermal heat exchangers, J. Eng. Math, 102, 131150 , 2017.
 E.M. Moon and V.V. Yakovlev, CAD of a dielectric insert supporting uniformity of microwave heating, Proc. 3rd Global Congress on Microwave Energy Applications (Cartagena, Spain, July 2016), pp. 224227.
 V.V. Yakovlev, Computer modeling in the development of mechanisms of control over microwave heating in solidstate energy systems, AMPERE Newsletter, Issue 89, pp. 1821, 2016.
 H. Yeung and V.V. Yakovlev, Inversion of the mixture models for materials of required complex permittivity, Proc. 50th IMPI’s Microwave Power Symp. (Orlando, FL, June 2016), pp. 129130.
 E.M. Kiley and V.V. Yakovlev, Comprehensive onedimensional mathematical model of microwave sintering, In: IEEE MTTS Intern. Microwave Symp. Dig. (SanFrancisco, CA, May 2016), 9781509006984.
 K.A. Lurie and V.V. Yakovlev, Energy accumulation in waves propagating in space and timevarying transmission lines, IEEE Antennas and Wireless Propag. Lett., 15, pp. 16811684, 2016.
 T. Carter and M. Humi, “Planar Optimal TwoImpulse Transfers” 2015 AAS/AIAA Astrodynamics Specialist Conference, Paper #AAS 15644
 T. Carter and M. Humi, “Planar Optimal TwoImpulse ClosedForm Solutions of Transverse Transvers,” 2015 AAS/AIAA Astrodynamics Specialist Conference, Paper #AAS 15645
 V.Y. Yakovlev, C. Yang, E. Moon, Microwaveinduced temperature fields in cylindrical samples of graphite powder — experimental and modeling studies, Intern. J. Heat & Mass Transfer, 87 (8) 2015
 S. Frei, K. Lockwood, G. Stewart, J. Boyer, and B.S. Tilley, “On thermal resistance in concentric residential geothermal heat exchangers”, J. Eng. Math 86 (2014)
 D.W. Schwendeman, C.P. Please, B.S. Tilley, and F. Hendriks, “A homogenization analysis of the compressible flow between a slider and a moving patterned rough surface”, IMA J. Appl. Math. (2013); doi: 10.193/imamath/hxt034
 B.S. Tilley, “On microchannel shapes in liquidcooled electronics applications”, Int. J. Heat Mass Trans., 62 163173: (2013)
 F.R. McCausland, B.S. Tilley and S.S. Waikar, “Dialysate Sodium and the Milieu Intérieur”, Clinical J. Amer. Soc. Nephrology 7 (1) 57: (2012)
 B.S. Tilley, B. Vernescu, J.D. Plummer, “Geometrydriven charge accumulation in electrokinetic flows through laminates”, SIAM J. Appl. Math 72 (1) 3960: (2012)