Analytical, Numerical and Integrable systems approaches for nonlinear dispersive partial differential equations – ANuI
Dispersive partial differential equations (PDEs) have important applications such as hydrodynamics, nonlinear optics, plasma physics and Bose-Einstein condensates. In this project these PDEs, mainly in higher dimensions, will be studied with a unique innovative combination of analytic and numerical approaches and techniques from the theory of integrable systems, also applied to non-integrable PDEs. The goal is to use the predictive power of numerical techniques for breakthroughs on the analytical side, and analytical insight into the equations to generate innovative numerical schemes able to address challenges in applications numerically.
Project coordination
Christian KLEIN (Institut de Mathématiques de Bourgogne)
The author of this summary is the project coordinator, who is responsible for the content of this summary. The ANR declines any responsibility as for its contents.
Partnership
Institute for Analysis and Scientific Computing
IMB Institut de Mathématiques de Bourgogne
UPSud - LMO Université Paris-Sud / Laboratoire de Mathématiques
Help of the ANR 194,400 euros
Beginning and duration of the scientific project:
December 2017
- 36 Months
