Alvarez-Caudevilla, P (Scuola Normale Superiore, IT)
Thursday 16 September 2010, 

Nonlinear hyperbolic conservation laws: diffusive-dispersive limits

High oscillation pervades a very wide range of applications: electromagnetics, fluid dynamics, molecular modelling, quantum chemistry, computerised tomography, plasma transport, celestial mechanics, medical imaging, signal processing.  It has been addressed by a wide range of mathematical techniques, inter alia from asymptotic theory, harmonic analysis, theory of dynamical systems, theory of integrable systems and differential geometry. The computation of highly oscillatory problems spawned a large number of different numerical approaches and algorithms. The purpose of this programme is to foster research into different aspects of high oscillation – the theoretical, the computational and the applied – from a united standpoint and to promote the synergy implicit in an interdisciplinary activity.

Read more at: http://www.newton.ac.uk/programmes/HOP/

Global and Blow-up patterns of the Cauchy problem of a fourth-order thin film equation