Research

  • H. S. Bhat and N. Kumar [2009], Markov tree options pricing, submitted.
  • *H. S. Bhat, W. Lee, G. N. Lilis, and E. Afshari [2009], Steady-state perturbative theory for nonlinear circuits, submitted.
  • *G. N. Lilis, J. Park, W. Lee, G. Li, H. S. Bhat, and E. Afshari [2009], Harmonic generation using nonlinear LC lattices, submitted.
  • *H. S. Bhat, G. N. Lilis, J. Park, and E. Afshari [2009], Numerical modeling of large inductor-capacitor lattices, submitted.
  • *H. S. Bhat and B. Osting [2009], Discrete diffraction in two-dimensional transmission line metamaterials, Microwave and Optical Technology Letters, accepted.
  • *H. S. Bhat and B. Osting [2009], Diffraction on the two-dimensional square lattice, SIAM Journal on Applied Mathematics, accepted. [pdf]
  • *H. S. Bhat and B. Osting [2009], The zone boundary mode in periodic nonlinear electrical lattices, Physica D, 238, pp. 1216--1228. [link]
  • H. S. Bhat and R. C. Fetecau [2009], On a regularization of the compressible Euler equations for an isothermal gas, Journal of Mathematical Analysis and Applications, 358 (1), pp. 168--181. [link]
  • H. S. Bhat and R. C. Fetecau [2009], The Riemann problem for the Leray-Burgers equation, Journal of Differential Equations, 246 (10), pp. 3957--3979. [link]
  • H. S. Bhat and B. Osting [2008], Thin slit diffraction in conventional and dual composite right/left-handed transmission line metamaterials, Proceedings of the Asia-Pacific Microwave Conference (APMC '08), Hong Kong, Dec. 2008.
  • *B. Osting and H. S. Bhat [2008], Dispersive diffraction in a two-dimensional hexagonal transmission lattice, Proceedings of the International Symposium on Antennas and Propagation (ISAP '08), Taipei, Taiwan, Oct. 2008.
  • *H. S. Bhat and E. Afshari [2008], Nonlinear constructive interference in electrical lattices, Physical Review E, 77, 066602. [link]
  • *H. S. Bhat [2008], Canonical structures and stability of equilibria for nonlinear electrical lattices, Dynamical Systems, accepted.
  • H. S. Bhat and R. C. Fetecau [2008], Stability of fronts for a regularization of the Burgers equation, Quarterly of Applied Mathematics, 66, pp. 473--496. [link]
  • E. Afshari, H. S. Bhat, A. Hajimiri [2008], Ultrafast analog Fourier transform using two-dimensional LC lattice, IEEE Transactions on Circuits and Systems I, 55 (8), pp. 2332--2343. [link]
  • H. S. Bhat, R. C. Fetecau, and J. B. Goodman [2007], A Leray-type regularization for the isentropic Euler equations, Nonlinearity, 20, pp. 2035-2046. [link]
  • E. Afshari, H. S. Bhat, X. Li, and A. Hajimiri [2006], Electrical funnel: a new signal combining method, IEEE Solid-State Circuits Conference, Feb. 2006, pp. 206--208. [link]
  • E. Afshari, H. S. Bhat, A. Hajimiri, and J. E. Marsden [2006], Extremely wideband signal shaping using one- and two-dimensional nonuniform nonlinear transmission lines, Journal of Applied Physics, 99, 054901. [link]
  • H. S. Bhat and R. C. Fetecau [2006], Lagrangian averaging for the 1D compressible Euler equations, Discrete and Continuous Dynamical Systems B, 6 (5), pp. 979-1000. [link]
  • H. S. Bhat and R. C. Fetecau [2006], A Hamiltonian regularization of the Burgers equation, Journal of Nonlinear Science, 16 (6), pp. 615-638. [link]
  • H. S. Bhat, R. C. Fetecau, J. E. Marsden, K. Mohseni, and M. West [2005], Lagrangian averaging for compressible fluids, Multiscale Modeling and Simulation, 3 (4), pp. 818-837. [link]

The starred citations are based upon work supported by the National Science Foundation under Grants 0753983 and/or 0713732. Any opinions, findings and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation (NSF).

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