Nonlinear propagation of waves of short wavelength in dispersive systems
 
 
Description: 
We discuss the nonlinear propagation of waves of short wavelength in dispersive systems and we present the simplest nonlinear short-wave dynamics: $u_{tx} = u - 3 u^2$. We present an algorithm to integrate numerically this equation for periodic and non-periodic boundary conditions. We also prove the existence and uniqueness of solutions for the Cauchy problem of the simplest nonlinear short-wave equation for the periodic case. 
Date:  2014-05-28
Start Time:   14:30
Speaker:  Sílvio Gama (Univ. Porto)
Institution:  University of Porto
Place:  Room 5.5 (DMUC)
Research Groups: -Numerical Analysis and Optimization
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