Abstract
Among the nonlinear dispersive equations, a distinguished class is that of geometric evolutions. Unlike the models seen earlier where nonlinear interactions are added to an underlying linear dispersive flow, here the nonlinear structure arises from the curvature of the state space itself. Precisely, our geometric evolutions are obtained by applying the standard linear Lagrangian or Hamiltonian formalism to a state space consiting of maps into (curved) manifolds.
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer Basel
About this chapter
Cite this chapter
Koch, H., Tataru, D., Vişan, M. (2014). Introduction. In: Dispersive Equations and Nonlinear Waves. Oberwolfach Seminars, vol 45. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0736-4_10
Download citation
DOI: https://doi.org/10.1007/978-3-0348-0736-4_10
Published:
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-0735-7
Online ISBN: 978-3-0348-0736-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)