Recent Publications & Patents

Recent Publications

  1. 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. 123-125.
  2. 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/MTT-S Intern. Microwave Symp. (Boston, MA, June 2019), pp. 59-62, 978-1-7281-1309-8/19.
  3. Yuecai Han, Qingshuo Song, Gu Wang, Exit Problems as Generalized Solutions of Dirichlet Problems, SIAM Journal on Control and Optimization, 57 (2019), No. 4, 2392-2414.
  4. Paolo Guasoni, Antonella Tolomeo, Gu Wang, Should Commodity Investors Follow Commodities’ Prices? SIAM Journal on Financial Mathematics, 10 (2019), No.2, 466-490.
  5. Paolo Guasoni, Gu Wang, Consumption and Investment with Stochastic Interest Risk, Journal of Mathematical Mathematical Analysis and Applications, 476 (2019), No.1, 215-239.
  6. M.Humi and J. Roumas -Structure of polytropic stars in General Relativity Astrophysics and Space Science 364(7) June 2019 DOI: 10.1007/s10509-019-3608-y 
  7. 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 
  8. 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 MTT-S Intern. Microwave Symp., Boston, MA, June 2019.  
  9. J.M. Gaone, B.S. Tilley, and V.V. Yakovlev, Electromagnetic heating control via high-frequency resonance of a triple-layer laminate, J. of Engineering Math., vol 114, no 1, pp. 65-86, 2019.
  10. 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. 99-100.
  11. E.M. Moon and V.V. Yakovlev, Computer-aided 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. 1958-1968, 2018.
  12. M. Humi, Satellite Orbits in Levi-Civita Space, Advances in Space Research, 61 Issue 5, pp. 1298-1306 March 2018.
  13. 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. 82-83.
  14. A. Mohekar, J.M. Gaone, B.S. Tilley, and V.V. Yakovlev, Multiphysics simulation of temperature profiles in a triple-layer model of a microwave heat exchanger, Proc. 52nd IMPI’s Microwave Power Symp. (Long Beach, CA, June 2018), pp. 33-35.
  15. 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 MTT-S Intern. Microwave Symp. Dig. (Philadelphia, PA, June 2018), pp. 1389-1392.
  16. V.V. Yakovlev, Effect of frequency alteration regimes on the heating patterns in a solid-state-fed microwave cavity, J. Microwave Power & Electromagnetic Energy, 52, no 1, pp. 31–44, 2018
  17. M. Humi, Analytic Solutions for Long’s Equation and its Generalization, Nonlin. Proc. in Geophysics, 24, pp. 727-735 (2017)
  18. M. Humi, Solutions to Painleve III and Other Nonlinear Equations by a Generalized Cole-Hopf Transformation, Math. Meth. Appl. Sci., 40 pp. 4092-4101, (2017)
  19. M. Humi, Introduction to Mathematical Modeling, CRC Press, 2017.
  20. J.M. Gaone, B.S. Tilley, and V.V. Yakovlev, Permittivity-based control of thermal runaway in a triple-layer laminate, In: IEEE MTT-S Intern. Microwave Symp. Dig. (Honolulu, HI, June 2017), 4 p., 978-1-5090-6360-4.
  21. E.M. Kiley and V.V. Yakovlev, Two-dimensional multiphysics model of microwave sintering, In: IEEE MTT-S Intern. Microwave Symp. Dig. (Honolulu, HI, June 2017), 4 p., 978-1-5090-6360-4.
  22. S. Vaucher, V.V. Yakovlev, and H. Yeung,  Materials with required dielectric properties: computational development and production of polymer-ceramic composites, Polymer Engineering and Science, 57, 2017, 8 p., DOI 10.1002/pen.
  23. K.A. Lurie, D. Onofrei, W.C. Sanguinet, S.L. Weekes, and V.V. Yakovlev, Energy accumulation in a functionally graded spatial-temporal checkerboard, IEEE Antennas and Wireless Propag. Lett., 16, pp. 1496-1499, 2017.
  24. B.S. Tilley, V.C. Yang, J.C. Baiense, S. Evans, “Frequency-dependent thermal resistance of vertical U-tube geothermal heat exchangers, J. Eng. Math, 102, 131-150 , 2017.
  25. 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. 224-227.
  26. V.V. Yakovlev, Computer modeling in the development of mechanisms of control over microwave heating in solid-state energy systems, AMPERE Newsletter, Issue 89, pp. 18-21, 2016.
  27. 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. 129-130.
  28. E.M. Kiley and V.V. Yakovlev, Comprehensive one-dimensional mathematical model of microwave sintering, In: IEEE MTT-S Intern. Microwave Symp. Dig. (San-Francisco, CA, May 2016), 978-1-5090-0698-4.
  29. K.A. Lurie and V.V. Yakovlev, Energy accumulation in waves propagating in space- and time-varying transmission lines, IEEE Antennas and Wireless Propag. Lett., 15, pp. 1681-1684, 2016.
  30. ˜T. Carter and M. Humi, “Planar Optimal Two-Impulse Transfers” 2015 AAS/AIAA Astrodynamics Specialist Conference, Paper #AAS 15-644
  31. ˜T. Carter and M. Humi, “Planar Optimal Two-Impulse Closed-Form Solutions of Transverse Transvers,” 2015 AAS/AIAA Astrodynamics Specialist Conference, Paper #AAS 15-645
  32. ˜V.Y. Yakovlev, C. Yang, E. Moon, Microwave-induced temperature fields in cylindrical samples of graphite powder — experimental and modeling studies, Intern. J. Heat & Mass Transfer, 87 (8) 2015
  33. 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)
  34. 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
  35. B.S. Tilley, “On microchannel shapes in liquid-cooled electronics applications”, Int. J. Heat Mass Trans., 62 163-173: (2013)
  36. F.R. McCausland, B.S. Tilley and S.S. Waikar, “Dialysate Sodium and the Milieu Intérieur”, Clinical J. Amer. Soc. Nephrology 7 (1) 5-7: (2012)
  37. B.S. Tilley, B. Vernescu, J.D. Plummer, “Geometry-driven charge accumulation in electrokinetic flows through laminates”, SIAM J. Appl. Math 72 (1) 39-60: (2012)