## 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 | |

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 | |
---|---|---|

(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] | |

(2017) | 'A modified equatorial $\beta$-plane approximation modelling nonlinear wave-current interactions' Henry, David (2017) 'A modified equatorial $\beta$-plane approximation modelling nonlinear wave-current interactions'. Journal of Differential Eqiuations, 263 (5):2554-2566 [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 [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 [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 [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 [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] [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 [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) | '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] | |

(2015) | 'Instability of equatorial water waves in the $f$-plane' Henry, David and 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] [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 [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 [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 [Details] | |

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

(2014) | 'Global bifurcation of capillary--gravity-stratified water waves' Henry, David and Matioc, Anca-Vocihita (2014) 'Global bifurcation of capillary--gravity-stratified water waves'. Proceedings Royal Society of Edinburgh. Section A, 144 (4):775-786 [DOI] [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] [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 [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 [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) | '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, [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] |

### 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 | |
---|---|---|

(2013) | Workshop on Elliptic and Parabolic EquationsD. Henry and Bogdan-Vasile Matioc (2013) Aspects of the mathematical analysis of nonlinear stratified water waves . In: Schrohe, Elmar, Escher, Joachim, Seiler, Jörg, Walker, Christoph eds. Workshop on Elliptic and Parabolic Equations Hannover, [Details] |

## Teaching Activities

### Current Postgraduate Students

Student | Degree Type | |
---|---|---|

Rodriguez Sanjurjo Adrian | Doctoral Degree | |

Kluczek Mateusz | Doctoral Degree |