# Theory of Water Waves

Created: | 2014-07-17 12:49 |
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Institution: | Isaac Newton Institute for Mathematical Sciences |

Description: | Water waves are a dramatic, potentially dangerous, yet beautiful phenomena that is omnipresent and impacts every aspect of life on the planet. At smaller length scales the ripples driven by surface tension affect remote sensing. At intermediate length scales waves in the mid-ocean affect shipping and near the shoreline they control the coastal morphology and the ability to navigate along shore. At larger length scales waves such as tsunamis and hurricane-generated waves can cause devastation on a global scale. Across all length scales an exchange of momentum and thermal energy between ocean and atmosphere occurs affecting the global weather system and the climate.
From a mathematical viewpoint water waves pose rich challenges.The governing equations for water waves are a widely accepted model and they have been the subject of a wide range of research. However, the equations are highly nonlinear and the level of difficulty is so great that theory has yet to scratch the surface of the subject. The solutions to the equations that describe fluid motion are elusive and whether they even exist in the most general case is one of the most difficult unanswered questions in mathematics. On the other hand, there is good reason to be buoyant about the headway that mathematics can make in tackling the great open problems posed by water waves. In light of recent developments the questions are now clearer, new methodologies are emerging, computational approaches are becoming much more sophisticated and the number of researchers at the highest international level involved is growing. All these indicators point to an opportune time to have a focused conference on water waves. |

# Media items

This collection contains 50 media items.

### Media items

#### 100-year and 10,000-year Extreme Significant Wave Heights - How Sure Can We Be of These Figures?

Rainey, R; Colman, J (Atkins Oil & Gas)

Wednesday 30 July 2014, 16:00-16:30

**Collection**:
Theory of Water Waves

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Fri 1 Aug 2014

#### A Success Story of Collaboration Between Academia and Industry in the Field of Wave Energy

Dias, F (University College Dublin)

Wednesday 30 July 2014, 13:40-14:10

**Collection**:
Theory of Water Waves

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Fri 1 Aug 2014

#### Birkhoff normal forms for the equations of water waves

Craig, W (McMaster University and Fields Institute)

Monday 14 July 2014, 15:30-16:30

**Collection**:
Theory of Water Waves

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Thu 17 Jul 2014

#### Boundary element and spectral methods for water waves

P Guyenne (University of Delaware)

Friday 18th July 2014 - 13:00 to 14:00

**Collection**:
Theory of Water Waves

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Fri 29 Aug 2014

#### Changing forms and sudden smooth transitions of tsunami waves

Grimshaw, R (Loughborough University)

Tuesday 05 August 2014, 14:00-15:00

**Collection**:
Theory of Water Waves

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Wed 13 Aug 2014

#### Coastal Wave Modelling: General Engineering Usage and Areas for Improved Research

Bunn, N (HR Wallingford)

Wednesday 30 July 2014, 14:40-15:10

**Collection**:
Theory of Water Waves

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Fri 1 Aug 2014

#### Dynamic energy cascades in the theory of water waves

Tobisch, E (Johannes Kepler Universität)

Monday 28 July 2014, 14:00-15:00

**Collection**:
Theory of Water Waves

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Thu 31 Jul 2014

#### Dynamics of critical layer in turbulent shear flows above unsteady water waves

Sajjadi, S (Embry-Riddle)

Thursday 17 July 2014, 15:00-16:00

**Collection**:
Theory of Water Waves

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 21 Jul 2014

#### Finite element method for nonlinear free surfaces water waves

Gagarina, E (Universiteit Twente)

Friday 18 July 2014, 15:30-16:30

**Collection**:
Theory of Water Waves

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Fri 25 Jul 2014

#### Global bifurcation for steady gravity water waves with constant vorticity and critical layers

Varvaruca, E (University of Reading)

Thursday 31 July 2014, 15:00-16:00

**Collection**:
Theory of Water Waves

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 5 Aug 2014

#### Gravity - Capillary Solitary Waves and Lumps

Akylas, T (Massachusetts Institute of Technology)

Monday 14 July 2014, 14:00-15:00

**Collection**:
Theory of Water Waves

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Thu 17 Jul 2014

#### Hydrodynamic Surface Wave Analogues for Quantum Mechanics and Nonlinear Optics

Milewski, P (University of Bath)

Thursday 31 July 2014, 16:30-17:30

**Collection**:
Theory of Water Waves

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Wed 6 Aug 2014

#### Ill-posedness of truncated series models for water waves

Ambrose, D (Drexel University)

Thursday 31 July 2014, 14:00-15:00

**Collection**:
Theory of Water Waves

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 5 Aug 2014

#### Impacts from highly nonlinear waves on walls and substructures of wind turbines

Bredmose, H (Danmarks Tekniske Universitet)

Tuesday 29 July 2014, 16:30-17:30

**Collection**:
Theory of Water Waves

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Thu 31 Jul 2014

#### Interface singularities for the Euler equations

Shkoller, S (University of Oxford)

Wednesday 23 July 2014, 14:00-14:45

**Collection**:
Theory of Water Waves

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Fri 25 Jul 2014

#### Justification of the nonlinear Schrödinger equation as the modulation equation to the full water-wave problem

Totz, N (Duke University)

Thursday 24 July 2014, 14:00-15:00

**Collection**:
Theory of Water Waves

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 28 Jul 2014

#### Nearly time-periodic water waves

Wilkening, J (University of California, Berkeley)

Wednesday 16 July 2014, 13:00-14:00

**Collection**:
Theory of Water Waves

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 21 Jul 2014

#### New nonsymmetric gravity-capillary solitary waves and related problems

Vanden-Broeck, J-M (University College London)

Tuesday 15 July 2014, 15:30-16:30

**Collection**:
Theory of Water Waves

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 21 Jul 2014

#### New results on wind driven waves and negative tsunami waves at coastlines

Hunt, J (University College London and Trinity College)

Thursday 17 July 2014, 16:00-17:00

**Collection**:
Theory of Water Waves

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 21 Jul 2014

#### Nonlinear dynamics of trapped waves on currents

Shrira, V (Keele University)

Monday 14 July 2014, 11:00-12:00

**Collection**:
Theory of Water Waves

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Thu 17 Jul 2014