08/09/2016, 16:20 — 17:00 — Amphitheatre Pa2, Mathematics Building
Xavier Carvajal, IM, Universidade Federal do Rio de Janeiro

Local well-posedness and dissipative limit of high dimensional KdV-type equations

Considered in this work is an $n$-dimensional dissipative version of the Korteweg-deVries equation. Our goal here is to investigate the well-posedness issue for the associated initial value problem in the anisotropic Sobolev spaces. We also study the limit behavior of this equation when the dissipative effects are reduced.