Theory of Water Waves
Month: July 2014
Date: July 14--August 8
Name: Theory of Water Waves
Location: Isaac Newton Institute for Mathematical Sciences, Cambridge, United Kingdom.
Water waves impact 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. New methodologies are emerging and computational approaches are becoming much more sophisticated.
Covered in this conference include: The initial-value problem (IVP); Existence and classification of waves; Linear and nonlinear stability of waves; Dynamical systems and geometric techniques; Beyond irrotational flow.