Publications

Physical Chemisty

  1. “From solvent free to dilute electrolytes: A unified continuum approach”
    Nir Gavish, Doron Elad and Arik Yochelis,
    Submitted (pdf)
  2. “Poisson-Nernst-Planck equations with steric effects – non-convexity and multiple stationary solutions”
    Nir Gavish
    Submitted (pdf)
  3. “From bulk self-assembly to electrical diffuse layer in a continuum approach for ionic liquids: The impact of anion and cation size asymmetry,”
    S. Bier, N. Gavish, H. Uecker, and A. Yochelis
    Phys. Rev. E 95, 060201(R) (2017) (pdf)
  4. “Dependence of the dielectric constant of electrolyte solutions on ionic concentration”
    Nir Gavish and Keith Promislow,
    Physical Review E 94, 012611, 2016. (pdf)
  5. “Systematic interpretation of differential capacitance data”
    Nir Gavish and Keith Promislow,
    Physical Review E, 2015 Jul;92(1):012321, 2015. (pdf)
  6. “Theory of Phase Separation and Polarization for Pure Ionic Liquids”
     and 
  7. “On the structure of generalized Poisson–Boltzmann equations”
    Nir Gavish and Keith Promislow,
    European Journal of Applied Mathematics, 27, pp 667-68, 2016. (pdf)
  8. “Bicarbonate and chloride anion transport in anion exchange membranes”
    Alina Amel, Nir Gavish, Liang Zhu, Dario R. Dekel, Michael A. Hickner, and Yair Ein-Eli,
    Journal of Membrane Science 514, 125–134, 2016. (pdf)

Nanostructure evolution

  1. “Spatially localized self-assembly driven by electrically charged phase separation”
    Nir Gavish, Idan Versano and Arik Yochelis,
    Accepted for publication in SIAM dynamical system (SIADS), 2017 (pdf)
  2.  “Curvature driven flow of bi-layer interfaces”,
    Nir Gavish, Gurgen Hayrapetyan, Keith Promislow and Li Yang,
    Physica D, 240: 675-693, 2011. (pdf)
  3. “Variational models of network formation and ion transport: Applications to perfluorosulfonate ionomer membranes”,
    Nir Gavish, Jaylan Jones, Zhengufu Xu, Andrew Christleib, and Keith Promislow,
    Invited paper for special issue on “Polymer Thin Films and Membranes”,
    Polymers, 4: 630-655, 2012. (pdf)
  4. “Variational Models of Pore Networks in Ionomer Membranes: The Role of Electrostatics”
    Keith Promislow, Jaylan Jones, Zengfu. Xu, Nir Gavish and Andrew Christlieab,
    Electrochemical Society Transactions – Honolulu, Hawaii, Volume 50, 2012 (pdf)

Theory of the nonlinear Schrödinger equation

  1. “New singular solutions of the nonlinear Schrödinger equation”,
    Gadi Fibich, Nir Gavish, and Xiao-Ping Wang.
    Physica D, 211, 193-220, 2005. (pdf)
  2. “Singular ring solutions of critical and supercritical the nonlinear Schrödinger equation”,
    Gadi Fibich, Nir Gavish, and Xiao-Ping Wang.
    Physica D, 231, 55-86, 2007 (pdf)
    Paper has been selected as one of the winners of the 2007 SIAM student paper competition
  3.  “Theory of singular vortex solutions of the nonlinear Schrödinger equation”,
    Gadi Fibich and Nir Gavish.
    Physica D, 237, 2696-2730, 2008. (pdf)
  4. “Singular standing-ring solutions of nonlinear partial differential equations”,
    Guy Baruch, Gadi Fibich and Nir Gavish.
    Physica D, 240: 1968-1983, 2010. (pdf)

Nonlinear Optics

  1. “Collapse dynamics of super-Gaussian beams”,
    Taylor Grow, Amiel Ishaaya, Luat Vuong, Alexander Gaeta, Nir Gavish and Gadi Fibich.
    Optics Express, Vol. 14, Issue 12, 4946-5837, 2006. (pdf)
  2. “Critical power of collapsing vortices”,
    Gadi Fibich and Nir Gavish.
    Physical Review A, 77, 045803, 2008. (pdf)
  3. “Predicting the filamentation of high-power beams and pulses without numerical integration: A nonlinear geometrical optics method”.
    Nir Gavish, Gadi Fibich, Luat Vuong and Alexander Gaeta.
    Physical Review A, 78, 043807, 2008 (pdf)
  4.  “Pulse-splitting of ultrashort pulses in the anomalous group-velocity dispersion regime”,
    Samuel Schrauth, Luat Vuong, Alexander Gaeta, Nir Gavish and Gadi Fibich,
    Optics Express, 19: 9309-9314, 2011 (pdf)

Numerical methods

  1. “Efficient solution of Ax(k)=b(k) using A-1”,
    Adi Ditkowski, Gadi Fibich and Nir Gavish.
    Journal of Scientific Computing. Vol. 32, 1, 29-44, 2007 (pdf)
  2. “A grid redistribution method for singular problems”,
    Adi Ditkowski and Nir Gavish.
    Journal of Computational Physics, 228: 2354-2365, 2009. (pdf)

Auction Theory

  1. Revenue equivalence of large asymmetric auctions”,
    Gadi Fibich, Arieh Gavious and Nir Gavish.
    Submitted (pdf)
  2. Numerical simulations of asymmetric first-price auction”,
    Gadi Fibich and Nir Gavish.
    Games and Economic Behaviour, 73, 479-495, 2011 (pdf)
  3. “Asymmetric first-price auctions: A dynamical systems approach”,
    Gadi Fibich and Nir Gavish.
    Mathematics of Operations Research, Vol. 37, No. 2, pp. 219-243, 2012. (pdf)
  4. “Large asymmetric first-price auctions – a boundary-layer approach”,
    Gadi Fibich and Nir Gavish.
    SIAM journal on applied Mathematics (SIAP), Vol. 75, No. 1, pp. 229-251, 2015. (pdf)