## Biography

**Research Interests**

Fluid dynamics; partial differential equations; nonlinear analysis.

My research interests deal primarily with the analysis of nonlinear partial differential equations. The main focus of my research in this field is the application of rigorous mathematical analysis in order to address questions which arise in applied mathematics, with a particular emphasis on the analysis of fluid dynamics.

## Research Interests

Fluid dynamics; partial differential equations; nonlinear analysis.My research interests deal primarily with the analysis of nonlinear partial differential equations. The main focus of my research in this field is the application of rigorous mathematical analysis in order to address questions which arise in applied mathematics, with a particular emphasis on the analysis of fluid dynamics.

## Research Grants

Project | Funding Body | Start Date | End Date | Award | |
---|---|---|---|---|---|

Nonlinear wave-current interactions in the nearshore - addressing the role of vorticity and ninlinearity in the modelling of ocean energy. | Science Foundation of Ireland | 01-SEP-14 | 31-AUG-19 | €571,801.00 | |

Mathematics Aspects of Dynamic Pressure in Fluid Flows. | Enterprise Irl | 27-OCT-17 | 27-JUL-18 | €7,135.00 | |

Exact and approximate models for water waves. | Irish Research Council | 01-OCT-14 | 31-AUG-15 | €91,790.00 | |

On multi-component model equations for water waves with vorticity. | Irish Research Council for Humanities and Social Sciences (IRCHSS) | 01-JAN-13 | 31-DEC-13 | €2,400.00 | |

Non-linear Analysis of water waves with vorticity. | Irish Research Council for Science, Engineering & Technology (IRCSET) | 01-NOV-12 | 25-JUL-13 | €5,965.00 |

## Publications

### Peer Reviewed Journals

Year | Publication | |
---|---|---|

(2022) | 'Flow underlying coupled surface and internal waves' Henry D.;Villari G. (2022) 'Flow underlying coupled surface and internal waves'. Journal of Differential Equations, 310 :404-442 [DOI] [Details] | |

(2021) | 'On the energy of nonlinear water waves' David Henry (2021) 'On the energy of nonlinear water waves'. Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences, 477 (2255) [DOI] [Full Text] [Details] | |

(2021) | 'Pollard waves with underlying currents' Henry D.;Lyons T. (2021) 'Pollard waves with underlying currents'. Proceedings of the American Mathematical Society, 149 (3):1175-1188 [DOI] [Full Text] [Details] | |

(2020) | 'Stratified equatorial flows in cylindrical coordinates' Henry, D;Martin, CI (2020) 'Stratified equatorial flows in cylindrical coordinates'. Nonlinearity, 33 :3889-3904 [DOI] [Full Text] [Details] | |

(2020) | 'Extreme water-wave profile recovery from pressure measurements at the seabed' Clamond, D;Henry, D (2020) 'Extreme water-wave profile recovery from pressure measurements at the seabed'. Journal of Fluid Mechanics, 903 [DOI] [Full Text] [Details] | |

(2020) | 'A novel wave-energy device with enhanced wave amplification and induction actuator' Bokhove O.;Kalogirou A.;Henry D.;Thomas G.P. (2020) 'A novel wave-energy device with enhanced wave amplification and induction actuator'. International Marine Energy Journal, 3 (1):37-44 [DOI] [Details] | |

(2019) | 'Exact, Free-Surface Equatorial Flows with General Stratification in Spherical Coordinates' Henry, D;Martin, CI (2019) 'Exact, Free-Surface Equatorial Flows with General Stratification in Spherical Coordinates'. Archive For Rational Mechanics And Analysis, 233 :497-512 [DOI] [Full Text] [Details] | |

(2019) | 'Stokes drift in equatorial water waves, and wave–current interactions' Henry, David (2019) 'Stokes drift in equatorial water waves, and wave–current interactions'. Deep Sea Research Part II: Topical Studies In Oceanography, 160 :41-47 [DOI] [Full Text] [Details] | |

(2019) | 'Free-surface, purely azimuthal equatorial flows in spherical coordinates with stratification' Henry, D;Martin, CI (2019) 'Free-surface, purely azimuthal equatorial flows in spherical coordinates with stratification'. Journal of Differential Equations, 266 :6788-6808 [DOI] [Full Text] [Details] | |

(2018) | 'Prediction of the free-surface elevation for rotational water waves using the recovery of pressure at the bed' Henry, D;Thomas, GP (2018) 'Prediction of the free-surface elevation for rotational water waves using the recovery of pressure at the bed'. Philosophical Transactions of the Royal Society a-Mathematical Physical and Engineering Sciences, 376 [DOI] [Full Text] [Details] | |

(2018) | 'Exact, purely azimuthal stratified equatorial flows in cylindrical coordinates' Henry, David; Martin, Calin I. (2018) 'Exact, purely azimuthal stratified equatorial flows in cylindrical coordinates'. Dynamics Of Partial Differential Equations, 15 :337-349 [DOI] [Full Text] [Details] | |

(2018) | 'On three-dimensional Gerstner-like equatorial water waves' Henry, David (2018) 'On three-dimensional Gerstner-like equatorial water waves'. Philosophical Transactions of the Royal Society a-Mathematical Physical and Engineering Sciences, 376 (21111) [DOI] [Full Text] [Details] | |

(2018) | 'On nonlinearity in three-dimensional equatorial flows' David Henry (2018) 'On nonlinearity in three-dimensional equatorial flows'. Journal of Nonlinear Mathematical Physics, 25 (3):351-357 [DOI] [Full Text] [Details] | |

(2018) | 'Steady periodic water waves bifurcating for fixed-depth rotational flows with discontinuous vorticity' Henry, David and Sastre-Gomez, Silvia (2018) 'Steady periodic water waves bifurcating for fixed-depth rotational flows with discontinuous vorticity'. Differential Integral Equations, 31 (1-2):1-26 [Details] | |

(2018) | 'Nonlinear features of equatorial ocean flows' Henry, David (2018) 'Nonlinear features of equatorial ocean flows'. Oceanography, 31 (3):22-27 [Full Text] [Details] | |

(2017) | 'A modified equatorial b-plane approximation modelling nonlinear wave-current interactions' Henry, David (2017) 'A modified equatorial b-plane approximation modelling nonlinear wave-current interactions'. Journal of Differential Equations, 263 (5):2554-2566 [Full Text] [Details] | |

(2016) | 'Mean flow velocities and mass transport for equatorially-trapped water waves with an underlying current' Henry, David and Sastre-Gomez, Silvia (2016) 'Mean flow velocities and mass transport for equatorially-trapped water waves with an underlying current'. Journal of Mathematical Fluid Mechanics, 18 (4):795-804 [Full Text] [Details] | |

(2016) | 'Two-component equations modelling water waves with constant vorticity' Escher, Joachim and Henry, David and Kolev, Boris and Lyons, Tony (2016) 'Two-component equations modelling water waves with constant vorticity'. Annali Di Matematica Pura Ed Applicata, 195 (1):249-271 [Full Text] [Details] | |

(2016) | 'Equatorially trapped nonlinear water waves in a $\beta$-plane approximation with centripetal forces' Henry, David (2016) 'Equatorially trapped nonlinear water waves in a $\beta$-plane approximation with centripetal forces'. Journal of Fluid Mechanics, 804 [Full Text] [Details] | |

(2016) | 'Exact equatorial water waves in the $f$-plane' Henry, David (2016) 'Exact equatorial water waves in the $f$-plane'. Nonlinear Anal. Real World Appl, 28 :284-289 [Full Text] [Details] | |

(2015) | 'Instability of internal equatorial water waves' D. Henry and Hung-Chu Hsu (2015) 'Instability of internal equatorial water waves'. Journal of Differential Eqiuations, 258 (4):1015-1024 [DOI] [Full Text] [Details] | |

(2015) | 'Internal equatorial water waves in the f-plane' Henry, David (2015) 'Internal equatorial water waves in the f-plane'. Journal of Nonlinear Mathematical Physics, 22 (4):499-506 [Full Text] [Details] | |

(2015) | 'Instability of equatorial water waves in the f-plane' Henry, David; Hsu, Hung-Chu (2015) 'Instability of equatorial water waves in the f-plane'. Discrete and Continuous Dynamical Systems- Series A, 35 (3):909-916 [DOI] [Full Text] [Details] | |

(2014) | 'On the existence of equatorial wind waves' Henry, David; Matioc, Anca-Voichita (2014) 'On the existence of equatorial wind waves'. Nonlinear Analysis: Theory, Methods & Applications, 101 :113-123 [DOI] [Full Text] [Details] | |

(2014) | 'ONE-DIMENSIONAL WEAKLY NONLINEAR MODEL EQUATIONS FOR ROSSBY WAVES' Henry, David,Ivanov, Rossen (2014) 'ONE-DIMENSIONAL WEAKLY NONLINEAR MODEL EQUATIONS FOR ROSSBY WAVES'. Discrete and Continuous Dynamical Systems, 34 [Full Text] [Details] | |

(2014) | 'On the symmetry of steady equatorial wind waves' Henry, David; Matioc, Anca-Voichita (2014) 'On the symmetry of steady equatorial wind waves'. Nonlinear Analysis: Real World Applications, 18 :50-56 [DOI] [Full Text] [Details] | |

(2014) | 'Instability of Equatorial Water Waves with an Underlying Current' Genoud, Francois; Henry, David (2014) 'Instability of Equatorial Water Waves with an Underlying Current'. Journal of Mathematical Fluid Mechanics, 16 (4):661-667 [DOI] [Full Text] [Details] | |

(2014) | 'Global bifurcation of capillary–gravity-stratified water waves' Henry, David; Matioc, Anca-Vocihita (2014) 'Global bifurcation of capillary–gravity-stratified water waves'. Proceedings Of The Royal Society Of Edinburgh Section A-Mathematics, 144 (4):775-786 [DOI] [Full Text] [Details] | |

(2013) | 'On the pressure transfer function for solitary water waves with vorticity' David Henry (2013) 'On the pressure transfer function for solitary water waves with vorticity'. Mathematische Annalen, [DOI] [Full Text] [Details] | |

(2013) | 'Steady periodic waves bifurcating for fixed-depth rotational flows' Henry, David (2013) 'Steady periodic waves bifurcating for fixed-depth rotational flows'. Quarterly of Applied Mathematics, 71 (3):455-487 [DOI] [Details] | |

(2013) | 'Dispersion relations for steady periodic water waves with an isolated layer of vorticity at the surface' Henry, David (2013) 'Dispersion relations for steady periodic water waves with an isolated layer of vorticity at the surface'. Nonlinear Analysis-Real World Applications, 14 (2):1034-1043 [Details] | |

(2013) | 'Large Amplitude Steady Periodic Waves for Fixed-Depth Rotational Flows' Henry, David (2013) 'Large Amplitude Steady Periodic Waves for Fixed-Depth Rotational Flows'. Communications in Partial Differential Equations, 38 [Full Text] [Details] | |

(2013) | 'An exact solution for equatorial geophysical water waves with an underlying current' Henry, David (2013) 'An exact solution for equatorial geophysical water waves with an underlying current'. European Journal of Mechanics B-Fluids, 38 [Full Text] [Details] | |

(2013) | 'On free surfaces in hydrostatic flows' David Henry (2013) 'On free surfaces in hydrostatic flows'. Applicable Analysis, 92 :238-245 [Details] | |

(2013) | 'On the existence of steady periodic capillary-gravity stratified water waves' Henry, David,Matioc, Bogdan-Vasile (2013) 'On the existence of steady periodic capillary-gravity stratified water waves'. Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze, 12 [Details] | |

(2013) | 'On the persistence properties of the cross-coupled Camassa-Holm system' Henry, David and Holm, Darryl and Ivanov, Rossen (2013) 'On the persistence properties of the cross-coupled Camassa-Holm system'. J. Geom. Symmetry Phys, 32 :1-13 [Details] | |

(2012) | 'On the regularity of steady periodic stratified water waves' Henry, David and Matioc, Bogdan-Vasile (2012) 'On the regularity of steady periodic stratified water waves'. Communications on Pure and Applied Analysis, 11 (4):1453-1464 [Details] | |

(2012) | 'DISPERSION RELATIONS FOR STEADY PERIODIC WATER WAVES OF FIXED MEAN-DEPTH WITH AN ISOLATED BOTTOM VORTICITY LAYER' Henry, David (2012) 'DISPERSION RELATIONS FOR STEADY PERIODIC WATER WAVES OF FIXED MEAN-DEPTH WITH AN ISOLATED BOTTOM VORTICITY LAYER'. Journal of Nonlinear Mathematical Physics, 19 [Details] | |

(2012) | 'Regularity for steady periodic capillary water waves with vorticity' Henry, David (2012) 'Regularity for steady periodic capillary water waves with vorticity'. Philosophical Transactions of the Royal Society a-Mathematical Physical and Engineering Sciences, 370 (1964):1616-1628 [Details] | |

(2012) | 'Analyticity of the Free Surface for Periodic Travelling Capillary-Gravity Water Waves with Vorticity' Henry, David (2012) 'Analyticity of the Free Surface for Periodic Travelling Capillary-Gravity Water Waves with Vorticity'. Journal of Mathematical Fluid Mechanics, 14 (2):249-254 [Details] | |

(2011) | 'On the regularity of capillary water waves with vorticity' Henry, David (2011) 'On the regularity of capillary water waves with vorticity'. Comptes Rendus Mathematique, 349 (3-4):171-173 [Details] | |

(2011) | 'Pressure in a Deep-Water Stokes Wave' Henry, David (2011) 'Pressure in a Deep-Water Stokes Wave'. Journal of Mathematical Fluid Mechanics, 13 (2):251-257 [Details] | |

(2010) | 'ANALYTICITY OF THE STREAMLINES FOR PERIODIC TRAVELLING FREE SURFACE CAPILLARY-GRAVITY WATER WAVES WITH VORTICITY' Henry, David (2010) 'ANALYTICITY OF THE STREAMLINES FOR PERIODIC TRAVELLING FREE SURFACE CAPILLARY-GRAVITY WATER WAVES WITH VORTICITY'. Siam Journal on Mathematical Analysis, 42 (6):3103-3111 [Details] | |

(2009) | 'INFINITE PROPAGATION SPEED FOR A TWO COMPONENT CAMASSA-HOLM EQUATION' Henry, David (2009) 'INFINITE PROPAGATION SPEED FOR A TWO COMPONENT CAMASSA-HOLM EQUATION'. Discrete and Continuous Dynamical Systems-Series B, 12 (3):597-606 [Details] | |

(2009) | 'Persistence properties for a family of nonlinear partial differential equations' Henry, David (2009) 'Persistence properties for a family of nonlinear partial differential equations'. Nonlinear Analysis-Theory Methods & Applications, 70 (4):1565-1573 [Details] | |

(2009) | 'Steady periodic flow induced by the Korteweg-de Vries equation' Henry, D. (2009) 'Steady periodic flow induced by the Korteweg-de Vries equation'. Wave Motion, 46 (6):403-411 [Details] | |

(2009) | 'Solitons and Tsunamis' Constantin, Adrian and Henry, David (2009) 'Solitons and Tsunamis'. Zeitschrift Fur Naturforschung Section a-a Journal of Physical Sciences, 64 (1-2):65-68 [Details] | |

(2008) | 'On Gerstner's Water Wave' Henry, David (2008) 'On Gerstner's Water Wave'. Journal of Nonlinear Mathematical Physics, 15 :87-95 [Details] | |

(2008) | 'On the Deep-Water Stokes Wave Flow' Henry, David (2008) 'On the Deep-Water Stokes Wave Flow'. International Mathematics Research Notices, [Full Text] [Details] | |

(2008) | 'Persistence properties for the Degasperis-Procesi equation' Henry, David (2008) 'Persistence properties for the Degasperis-Procesi equation'. Journal of Hyperbolic Differential Equations, 5 (1):99-111 [Details] | |

(2008) | 'Compactly supported solutions of a family of nonlinear partial differential equations' Henry, David (2008) 'Compactly supported solutions of a family of nonlinear partial differential equations'. Dynamics of Continuous Discrete and Impulsive Systems: Series A - Mathematical Analysis, 15 (1):145-150 [Details] | |

(2007) | 'Particle trajectories in linear periodic capillary and capillary-gravity water waves' Henry, David (2007) 'Particle trajectories in linear periodic capillary and capillary-gravity water waves'. Philosophical Transactions of the Royal Society a-Mathematical Physical and Engineering Sciences, 365 (1858):2241-2251 [Details] | |

(2007) | 'Particle trajectories in linear periodic capillary and capillary-gravity deep-water waves' Henry, David (2007) 'Particle trajectories in linear periodic capillary and capillary-gravity deep-water waves'. Journal of Nonlinear Mathematical Physics, 14 (1):1-7 [Details] | |

(2006) | 'The trajectories of particles in deep-water Stokes waves' Henry, David (2006) 'The trajectories of particles in deep-water Stokes waves'. International Mathematics Research Notices, [Details] | |

(2006) | 'Existence of solutions for a class of edge wave equations' Henry, D. and Mustafa, O. G. (2006) 'Existence of solutions for a class of edge wave equations'. Discrete and Continuous Dynamical Systems-Series B, 6 (5):1113-1119 [Details] | |

(2005) | 'Compactly supported solutions of the Camassa-Holm equation' Henry, D. (2005) 'Compactly supported solutions of the Camassa-Holm equation'. Journal of Nonlinear Mathematical Physics, 12 (3):342-347 [Details] | |

(2005) | 'Infinite propagation speed for the Degasperis-Procesi equation' Henry, D. (2005) 'Infinite propagation speed for the Degasperis-Procesi equation'. Journal of Mathematical Analysis and Applications, 311 (2):755-759 [Details] |

### Edited Books

Year | Publication | |
---|---|---|

(2019) | Nonlinear Water Waves: An Interdisciplinary Interface by David Henry, Konstantinos Kalimeris, Emilian I. Părău, Jean-Marc Vanden-Broeck, Erik Wahlén (Ed.). (2019) Nonlinear Water Waves: An Interdisciplinary Interface Basel, Switzerland: Birkhäuser. [Details] |

### Book Chapters

Year | Publication | |
---|---|---|

(2009) | 'Persistence of solutions for some integrable shallow water equations' Henry, David (2009) 'Persistence of solutions for some integrable shallow water equations' In: Trends in differential geometry, complex analysis and mathematical physics. Hackensack, NJ, USA: World Scientific. [Details] |

### Conference Publications

Year | Publication | |
---|---|---|

(2019) | 13th European Wave and Tidal Energy ConferenceAlan Compelli, David Henry, Gareth Thomas (2019) Surface profile prediction from bottom pressure measurements with application to marine current generators 13th European Wave and Tidal Energy Conference [Full Text] [Details] | |

(2019) | 13th European Wave and Tidal Energy ConferenceOnno Bokhove, Anna Kalogirou, David Henry, Gareth Thomas (2019) A novel wave-energy device with enhanced wave amplification and induction actuator 13th European Wave and Tidal Energy Conference [Full Text] [Details] | |

(2015) | ELLIPTIC AND PARABOLIC EQUATIONSHenry, D;Matioc, BV (2015) Aspects of the Mathematical Analysis of Nonlinear Stratified Water Waves ELLIPTIC AND PARABOLIC EQUATIONS , pp.159-177 [DOI] [Details] |

## Teaching Activities

### Recent Postgraduates

Graduation Year | Student Name | Institution | Degree Type | Thesis Title | |
---|---|---|---|---|---|

2019 | Adrián Rodríguez-Sanjurjo | University College Cork | PHD | On mathematical aspects of exact nonlinear rotational water waves | |

2019 | Mateusz Kluczek | University College Cork | PHD | Nonlinear water wave models with vorticity |