Speaker
Johannes Sjöstrand
(Université de Bourgogne)
Description
This is part of a joint work with
Christian Klein and Nikola Stoilov. We consider a $2\times 2$ system of $\partial ,\overline{\partial }$ type in the large parameter limit, appearing in the study of the Davey-Stuartson II equation.
When a certain potential is smooth, we show that the solution is given by a convergent perturbation series.
When it is the characteristic function of a strictly convex domain, we analyze the leading term in the series. Numerical simulations show a fairly good coincidence with the full solution despite the lack of smoothness of the potential in this case.
Primary author
Johannes Sjöstrand
(Université de Bourgogne)
