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Research Output 1995 2018

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2018

Dynamics, emergent statistics, and the mean-pilot-wave potential of walking droplets

Durey, M., Milewski, P. A. & Bush, J. W. M. 18 Sep 2018 In : Chaos. 28, 9, p. 1-17 17 p., 096108

Research output: Contribution to journalArticle

Open Access
walking
Droplet
Statistics
statistics
Harmonic Potential

Dynamics of fully nonlinear capillary–gravity solitary waves under normal electric fields

Gao, T., Milewski, P. A., Papageorgiou, D. T. & Vanden-Broeck, J-M. 1 Feb 2018 In : Journal of Engineering Mathematics. 108, 1, p. 107-122 16 p.

Research output: Contribution to journalArticle

Open Access
Capillary-gravity Waves
Gravity waves
Fully Nonlinear
Solitary Waves
Solitons

Solitary flexural-gravity waves in three dimensions

Trichtchenko, O., Părău, E. I., Vanden-Broeck, J. M. & Milewski, P. 28 Sep 2018 In : Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 376, 2129, 20170345

Research output: Contribution to journalArticle

Open Access
Gravity Waves
Gravity waves
Elastic waves
gravity waves
Solitary Waves
2017

A temperature compensation method for chlorophyll and phycocyanin fluorescence sensors in freshwater

Watras, C. J., Morrison, K. A., Rubsam, J. L., Hanson, P. C., Watras, A. J., Laliberte, G. D. & Milewski, P. Jul 2017 In : Limnology and Oceanography: Methods. 15, 7, p. 642-652

Research output: Contribution to journalArticle

Chlorophyll
Fluorescence
Sensors
Temperature
Compensation and Redress
6 Citations

Faraday wave-droplet dynamics: discrete-time analysis

Durey, M. & Milewski, P. 25 Jun 2017 In : Journal of Fluid Mechanics. 821, p. 296-328

Research output: Contribution to journalArticle

Open Access
baths
walking
fluids
circular orbits
interactions
7 Citations

Flow structure beneath rotational water waves with stagnation points

Ribeiro, R., Milewski, P. A. & Nachbin, A. 10 Feb 2017 In : Journal of Fluid Mechanics. 812, p. 792-814 23 p.

Research output: Contribution to journalArticle

Open Access
File
water waves
stagnation point
Water waves
Flow structure
Vorticity

Non-wetting impact of a sphere onto a bath and its application to bouncing droplets

Galeano-Rios, C. A., Milewski, P. A. & Vanden-Broeck, J. -M. 10 Sep 2017 In : Journal of Fluid Mechanics. 826, p. 97-127 31 p.

Research output: Contribution to journalArticle

Open Access
baths
Fluids
Surface waves
Surface tension
Kinematics
5 Citations

Tunneling with a hydrodynamic pilot-wave model

Nachbin, A., Milewski, P. & Bush, J. W. M. 30 Mar 2017 In : Physical Review Fluids. 2, 3, 034801

Research output: Contribution to journalArticle

Open Access
File
Hydrodynamics
Droplet
Topography
Ergodic Processes
Model
2016
2 Citations

Front Propagation at the Nematic-Isotropic Transition Temperature

Majumdar, A., Milewski, P. A. & Spicer, A. 19 Jul 2016 In : SIAM Journal on Applied Mathematics. 76, 4, p. 1296-1320 25 p.

Research output: Contribution to journalArticle

Open Access
File
Front Propagation
Superconducting transition temperature
Initial conditions
Boundary conditions
Droplet
1 Citations

Self-focusing dynamics of patches of ripples

Milewski, P. A. & Wang, Z. 15 Oct 2016 In : Physica D: Nonlinear Phenomena. 333, p. 235-242

Research output: Contribution to journalArticle

Open Access
self focusing
ripples
fluid dynamics
gravity waves
light beams
2015
4 Citations

Conservation law modelling of entrainment in layered hydrostatic flows

Milewski, P. A. & Tabak, E. G. 1 Jun 2015 In : Journal of Fluid Mechanics. 772, p. 272-294 23 p.

Research output: Contribution to journalArticle

File
entrainment
hydrostatics
conservation laws
Conservation
water flow
20 Citations

Faraday pilot-wave dynamics: modelling and computation

Milewski, P. A., Galeano-Rios, C. A., Nachbin, A. & Bush, J. W. M. Sep 2015 In : Journal of Fluid Mechanics. 778, p. 361-388 28 p.

Research output: Contribution to journalArticle

Open Access
File
Doppler effect
wave generation
fluids
Fluids
baths
2014
5 Citations

A model for strongly nonlinear long interfacial waves with background shear

Boonkasame, A. & Milewski, P. A. Aug 2014 In : Studies in Applied Mathematics. 133, 2, p. 182-213

Research output: Contribution to journalArticle

File
Solitons
Solitary Waves
Regularization
Internal Waves
Korteweg-de Vries equation
10 Citations

Asymmetric gravity-capillary solitary waves on deep water

Wang, Z., Vanden-Broeck, J. M. & Milewski, P. A. Nov 2014 In : Journal of Fluid Mechanics. 759, R2

Research output: Contribution to journalArticle

File
deep water
Solitons
Gravitation
solitary waves
gravitation
4 Citations

Computation of three-dimensional flexural-gravity solitary waves in arbitrary depth

Wang, Z., Milewski, P. A. & Vanden-Broeck, J-M. 2014 In : Procedia IUTAM. 11, p. 119-129 11 p.

Research output: Contribution to journalArticle

File
deep water
shallow water
elastic sheets
solitary waves
gravitation
6 Citations

Correcting CDOM fluorescence measurements for temperature effects under field conditions in freshwaters

Watras, C. J., Morrison, K. A., Mather, J., Milewski, P. & Hanson, P. C. Jan 2014 In : Limnology and Oceanography: Methods. 12, 1, p. 23-24 2 p.

Research output: Contribution to journalArticle

Open Access
File
Thermal effects
Quenching
Fluorescence
Temperature
12 Citations

Numerical study of interfacial solitary waves propagating under an elastic sheet

Wang, Z., Pãrãu, E. I., Milewski, P. A. & Vanden-Broeck, J-M. 8 Aug 2014 In : Proceedings of the Royal Society A. 470, 2168, 20140111

Research output: Contribution to journalArticle

Open Access
File
elastic sheets
solitary waves
wave packets
baroclinic waves
boundary integral method
7 Citations
Open Access
File
Capillary-gravity Waves
capillary waves
Solitary Waves
Gravity
Gravitation
2013
26 Citations

Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations

Dutykh, D., Clamond, D., Milewski, P. & Mitsotakis, D. Oct 2013 In : European Journal of Applied Mathematics. 24, 5, p. 761-787 27 p.

Research output: Contribution to journalArticle

Open Access
File
Generalized Variational Principle
Pseudospectral Method
Finite Volume Scheme
Fully Nonlinear
Water waves
7 Citations

Steady dark solitary flexural gravity waves

Milewski, P. A., Vanden-Broeck, J-M. & Wang, Z. Feb 2013 In : Proceedings of the Royal Society A. 469, 2150, 20120485

Research output: Contribution to journalArticle

Open Access
File
gravity waves
solitary waves
nonlinear equations
asymptotes
water waves
17 Citations

Three dimensional flexural–gravity waves

Milewski, P. A. & Wang, Z. Aug 2013 In : Studies in Applied Mathematics. 131, 2, p. 135-148 14 p.

Research output: Contribution to journalArticle

Open Access
File
Gravity Waves
Gravity waves
Elastic waves
Solitons
Wave packets
17 Citations

Two-dimensional flexural-gravity waves of finite amplitude in deep water

Wang, Z., Vanden-Broeck, J-M. & Milewski, P. A. Aug 2013 In : IMA Journal of Applied Mathematics. 78, 4, p. 750-761 12 p.

Research output: Contribution to journalArticle

Open Access
File
Periodic Wave
Gravity Waves
Gravity waves
Elastic waves
Solitary Waves
2012
15 Citations

Dynamics of gravity-capillary solitary waves in deep water

Wang, Z. & Milewski, P. A. Oct 2012 In : Journal of Fluid Mechanics. 708, p. 480-501

Research output: Contribution to journalArticle

Open Access
File
deep water
Solitons
Gravitation
solitary waves
gravitation
2 Citations

On weakly nonlinear gravity–capillary solitary waves

Kim, B., Dias, F. & Milewski, P. A. Mar 2012 In : Wave Motion. 49, 2, p. 221-237

Research output: Contribution to journalArticle

Open Access
File
solitary waves
gravitation
nonlinear equations
capillary waves
Taylor series
15 Citations

The stability of large-amplitude shallow interfacial non-Boussinesq flows

Boonkasame, A. & Milewski, P. A. Jan 2012 In : Studies in Applied Mathematics. 128, 1, p. 40-58 19 p.

Research output: Contribution to journalArticle

File
Wave Breaking
Internal Waves
Nonlinear Stability
Immiscible Fluids
Nonlinear Systems of Equations
2011
41 Citations

A temperature compensation method for CDOM fluorescence sensors in freshwater

Watras, C. J., Hanson, P. C., Stacy, T. L., Morrison, K. M., Mather, J., Hu, Y. H. & Milewski, P. 28 Oct 2011 In : Limnology and Oceanography: Methods. 9, JULY, p. 296-301 6 p.

Research output: Contribution to journalArticle

Fluorescence
Sensors
Temperature
Water
Compensation and Redress
34 Citations

Hydroelastic solitary waves in deep water

Milewski, P. A., Vanden-Broeck, J-M. & Wang, Z. Jul 2011 In : Journal of Fluid Mechanics. 679, p. 628-640 13 p.

Research output: Contribution to journalArticle

File
deep water
Solitons
solitary waves
Water
elastic sheets
1 Citations

The diurnal cycle and the meridional extent of the tropics

Milewski, P. A. & Tabak, E. G. 2011 In : Physica D: Nonlinear Phenomena. 240, 2, p. 233-240 8 p.

Research output: Contribution to journalArticle

File
tropical regions
tropical meteorology
baroclinic waves
solar heating
tropopause
8 Citations

The volcano effect in bacterial chemotaxis

Simons, J. E. & Milewski, P. A. 2011 In : Mathematical and Computer Modelling. 53, 7-8, p. 1374-1388 15 p.

Research output: Contribution to journalArticle

File
Volcanoes
Chemotaxis
Keller-Segel Model
Bacteria
Model
2010
37 Citations

Dynamics of steep two-dimensional gravity-capillary solitary waves

Milewski, P. A., Vanden-Broeck, J-M. & Wang, Z. 10 Dec 2010 In : Journal of Fluid Mechanics. 664, p. 466-477 12 p.

Research output: Contribution to journalArticle

File
18 Citations

Dynamics of three-dimensional gravity-capillary solitary waves in deep water

Akers, B. & Milewski, P. A. 2010 In : SIAM Journal on Applied Mathematics. 70, 7, p. 2390-2408 19 p.

Research output: Contribution to journalArticle

File
Solitary Waves
Solitons
Gravity
Gravitation
Water
31 Citations

On the fully-nonlinear shallow-water generalized Serre equations

Dias, F. & Milewski, P. 8 Feb 2010 In : Physics Letters A. 374, 8, p. 1049-1053 5 p.

Research output: Contribution to journalArticle

Open Access
File
2009
27 Citations

A model equation for wavepacket solitary waves arising from capillary-gravity flows

Akers, B. & Milewski, P. A. Apr 2009 In : Studies in Applied Mathematics. 122, 3, p. 249-274 26 p.

Research output: Contribution to journalArticle

Solitary Waves
Solitons
Gravity
Gravitation
Transverse
13 Citations

Shear instability for stratified hydrostatic flows

Chumakova, L., Menzaque, F. E., Milewski, P. A., Rosales, R. R., Tabak, E. G. & Turner, C. V. Feb 2009 In : Communications on Pure and Applied Mathematics. 62, 2, p. 183-197 15 p.

Research output: Contribution to journalArticle

Stratified Flow
Hydrostatics
Stability criteria
Multilayers
Stability Criteria
18 Citations

Stability properties and nonlinear mappings of two and three-layer stratified flows

Chumakova, L., Menzaque, F. E., Milewski, P. A., Rosales, R. R., Tabak, E. G. & Turner, C. V. 2009 In : Studies in Applied Mathematics. 122, 2, p. 123-137 15 p.

Research output: Contribution to journalArticle

File
Stratified Flow
Nonlinear Mapping
Nonlinear Stability
Periodicity
Shear flow
2008
14 Citations

A simple model for biological aggregation with asymmetric sensing

Milewski, P. A. & Yang, X. Jun 2008 In : Communications in Mathematical Sciences. 6, 2, p. 397-416 20 p.

Research output: Contribution to journalArticle

File
6 Citations

A stability result for solitary waves in nonlinear dispersive equations

Akers, B. & Milewski, P. A. Sep 2008 In : Communications in Mathematical Sciences. 6, 3, p. 791-797 7 p.

Research output: Contribution to journalArticle

File
Nonlinear Dispersive Equations
Solitary Waves
Solitons
Traveling Wave
Surface Waves
6 Citations

Mixing closures for conservation laws in stratified flows

Jacobson, T., Milewski, P. A. & Tabak, E. G. 2008 In : Studies in Applied Mathematics. 121, 1, p. 89-116 28 p.

Research output: Contribution to journalArticle

File
Stratified Flow
Conservation Laws
Conservation
Closure
Shock
14 Citations

Model equations for gravity-capillary waves in deep water

Akers, B. & Milewski, P. A. 2008 In : Studies in Applied Mathematics. 121, 1, p. 49-69 21 p.

Research output: Contribution to journalArticle

11 Citations

Resonant wave interactions in the equatorial waveguide

Raupp, C. F. M., Silva Dias, P. L., Tabak, E. G. & Milewski, P. A. 2008 In : Journal of the Atmospheric Sciences. 65, 11, p. 3398-3418 21 p.

Research output: Contribution to journalArticle

File
gravity wave
capillary wave
timescale
beta-plane
equatorial wave
2007
4 Citations

Nonequilibrium statistics of a reduced model for energy transfer in waves

DeVille, R. E. L., Milewski, P. A., Pignol, R. J., Tabak, E. G. & Vanden-Eijnden, E. 1 Mar 2007 In : Communications on Pure and Applied Mathematics. 60, 3, p. 439-461 23 p.

Research output: Contribution to journalArticle

Reduced Model
Energy Transfer
White noise
Energy transfer
Non-equilibrium
2005
13 Citations

Evolution of periodicity in periodical cicadas

Lehmann-Ziebarth, N., Heideman, P. P., Shapiro, R. A., Stoddart, S. L., Hsiao, C. C. L., Stephenson, G. R., Milewski, P. A. & Ives, A. R. 1 Dec 2005 In : Ecology. 86, 12, p. 3200-3211 12 p.

Research output: Contribution to journalArticle

Magicicada
Cicadidae
periodicity
Magicicada septendecim
Geographical Locations
2003
4 Citations

Long nonlinear waves in resonance with topography

Choi, J. & Milewski, P. A. 1 Jan 2003 In : Studies in Applied Mathematics. 110, 1, p. 21-48 28 p.

Research output: Contribution to journalArticle

Nonlinear Waves
Topography
Wave Scattering
Periodic Problem
Conserved Quantity
14 Citations

Simulation of wave interactions and turbulence in one-dimensional water waves

Berger, K. M. & Milewski, P. A. 1 Mar 2003 In : SIAM Journal on Applied Mathematics. 63, 4, p. 1121-1140 20 p.

Research output: Contribution to journalArticle

Wave Interaction
Water waves
Water Waves
Turbulence
Forcing
2002
10 Citations

Breaking and merging of liquid sheets and filaments

Keller, J. B., Milewski, P. A. & Vanden-Broeck, J. -M. 1 Apr 2002 In : Journal of Engineering Mathematics. 42, 3-4, p. 283-290 8 p.

Research output: Contribution to journalArticle

Filament
Merging
Liquid
Liquids
Surface tension
8 Citations

Resonant wave interaction with random forcing and dissipation

Milewski, P. A., Tabak, E. G. & Vanden-Eijnden, E. 1 Jan 2002 In : Studies in Applied Mathematics. 108, 1, p. 123-144 22 p.

Research output: Contribution to journalArticle

Fokker Planck equation
Wave Interaction
White noise
Energy transfer
Forcing
2000
21 Citations

Merging and wetting driven by surface tension

Keller, J. B., Milewski, P. A. & Vanden-Broeck, J. M. 27 Jul 2000 In : European Journal of Mechanics, B/Fluids. 19, 4, p. 491-502 12 p.

Research output: Contribution to journalArticle

Wetting
Surface Tension
Merging
wetting
Wedge
37 Citations

The generation and evolution of lump solitary waves in surface-tension-dominated flows

Berger, K. M. & Milewski, P. A. 1 Jan 2000 In : SIAM Journal on Applied Mathematics. 61, 3, p. 731-750 20 p.

Research output: Contribution to journalArticle

Solitary Waves
Solitons
Surface Tension
Surface tension
Shallow Water Waves
1999
37 Citations

A Pseudospectral procedure for the solution of nonlinear wave equations with examples from free-surface flows

Milewski, P. A. & Tabak, E. G. 1 Jan 1999 In : SIAM Journal on Scientific Computing. 21, 3, p. 1102-1114 13 p.

Research output: Contribution to journalArticle

Free Surface Flow
Nonlinear Wave Equation
Wave equations
Wave Operator
Integrating Factor
3 Citations

A reduced model for nonlinear dispersive waves in a rotating environment

Milewski, P. A. & Tabak, E. G. 1 Jan 1999 In : Geophysical and Astrophysical Fluid Dynamics. 90, 3-4, p. 139-159 21 p.

Research output: Contribution to journalArticle

rotating environments
nonlinear wave
Kelvin waves
equators
Kelvin wave