Summary
I'm a Reader in Applied Mathematics at Imperial College. My interests are in mathematical modelling, asymptotic analysis and singular perturbation techniques, usually applied to problems involving fluid dynamics, transport phenomena and waves.
I can offer PhD projects in the research areas mentioned above. Please contact me for more details.
Selected Publications
Journal Articles
Peng G, Schnitzer O, 2023, Weakly nonlinear dynamics of a chemically active particle near the threshold for spontaneous motion. II. History-dependent motion, Physical Review Fluids, Vol:8, ISSN:2469-990X
Schnitzer O, Davis AMJ, Yariv E, 2020, Rolling of non wetting droplets down a gently inclined plane, Journal of Fluid Mechanics, Vol:903, ISSN:0022-1120, Pages:A25-1-A25-29
Brandão R, Schnitzer O, 2020, Spontaneous dynamics of two-dimensional Leidenfrost wheels, Physical Review Fluids, Vol:5, ISSN:2469-990X, Pages:091601-1-091601-10
Brandao R, Schnitzer O, 2020, Asymptotic modeling of Helmholtz resonators including thermoviscous effects, Wave Motion, Vol:97, ISSN:0165-2125, Pages:1-25
Brandao R, Schnitzer O, 2020, Acoustic impedance of a cylindrical orifice, Journal of Fluid Mechanics, Vol:892, ISSN:0022-1120
Schnitzer O, 2020, Asymptotic approximations for the plasmon resonances of nearly touching spheres, European Journal of Applied Mathematics, Vol:31, ISSN:0956-7925, Pages:246-276
Holley J, Schnitzer O, 2019, Extraordinary transmission through a narrow slit, Wave Motion, Vol:91, ISSN:0165-2125, Pages:1-9
Schnitzer O, 2019, Geometric quantization of localized surface plasmons, IMA Journal of Applied Mathematics, Vol:84, ISSN:0272-4960, Pages:813-832
Schnitzer O, Yariv E, 2018, Small-solid-fraction approximations for the slip-length tensor of micropillared superhydrophobic surfaces, Journal of Fluid Mechanics, Vol:843, ISSN:0022-1120, Pages:637-652
Vanel AL, Schnitzer O, Craster RV, 2017, Asymptotic network models of subwavelength metamaterials formed by closely packed photonic and phononic crystals, Europhysics Letters: a Letters Journal Exploring the Frontiers of Physics, Vol:119, ISSN:1286-4854
Schnitzer O, 2017, Slip length for longitudinal shear flow over an arbitrary-protrusion-angle bubble mattress: The small-solid-fraction singularity, Journal of Fluid Mechanics, Vol:820, ISSN:1469-7645, Pages:580-603
Schnitzer O, 2017, Waves in Slowly Varying Band-Gap Media, SIAM Journal on Applied Mathematics, Vol:77, ISSN:0036-1399, Pages:1516-1535
Schnitzer O, 2016, Singular effective slip length for longitudinal flow over a dense bubble mattress, Physical Review Fluids, Vol:1, ISSN:2469-990X
Schnitzer O, Giannini V, Craster RV, et al., 2016, Asymptotics of surface-plasmon redshift saturation at subnanometric separations, Physical Review B, Vol:93, ISSN:2469-9950
Schnitzer O, Yariv E, 2016, Streaming-potential phenomena in the thin-Debye-layer limit. Part 3. Shear-induced electroviscous repulsion, Journal of Fluid Mechanics, Vol:786, ISSN:1469-7645, Pages:84-109
Schnitzer O, 2015, Singular perturbations approach to localized surface-plasmon resonance: Nearly touching metal nanospheres, Physical Review. B, Condensed Matter, Vol:92, ISSN:0163-1829
Schnitzer O, Yariv EY, 2015, The Taylor–Melcher leaky dielectric model as a macroscale electrokinetic description, Journal of Fluid Mechanics, Vol:773, ISSN:0022-1120, Pages:1-33
Schnitzer O, Morozov M, 2015, A generalized Derjaguin approximation for electrical-double-layer interactions at arbitrary separations, Journal of Chemical Physics, Vol:142, ISSN:1089-7690
Schnitzer O, Yariv E, 2014, Nonlinear electrophoresis at arbitrary field strengths: small-Dukhin-number analysis, Physics of Fluids, Vol:26, ISSN:1070-6631
Schnitzer O, 2014, Fast penetration of megagauss fields into metallic conductors, Physics of Plasmas, Vol:21, ISSN:1070-664X
Schnitzer O, Yariv E, 2014, Nonlinear oscillations in an electrolyte solution under ac voltage, Physical Review E, Vol:89, ISSN:1539-3755
Schnitzer O, Frankel I, Yariv E, 2013, Deformation of leaky-dielectric fluid globules under strong electric fields: boundary layers and jets at large Reynolds numbers, Journal of Fluid Mechanics, Vol:734, ISSN:0022-1120
Schnitzer O, Zeyde R, Yavneh I, et al., 2013, Weakly nonlinear electrophoresis of a highly charged colloidal particle, Physics of Fluids, Vol:25, ISSN:1070-6631
Schnitzer O, Yariv E, 2012, Macroscale description of electrokinetic flows at large zeta potentials: Nonlinear surface conduction, Physical Review E, Vol:86, ISSN:1539-3755
Schnitzer O, Frankel I, Yariv E, 2012, Streaming-potential phenomena in the thin-Debye-layer limit. Part 2. Moderate Peclet numbers, Journal of Fluid Mechanics, Vol:704, ISSN:0022-1120, Pages:109-136
Schnitzer O, Khair AS, Yariv E, 2011, Irreversible Electrokinetic Repulsion at Zero-Reynolds-Number Sedimentation, Physical Review Letters, Vol:107, ISSN:0031-9007