Local well-posedness of a system describing laser-plasma interactions

Abstract

A degenerate Zakharov system arises as a model for the description of laser-plasma interactions. It is a coupled system of a Schrödinger and a wave equation with a non-dispersive direction. In this paper, a new local well-posedness result for rough initial data is established. The proof is based on an efficient use of local smoothing and maximal function norms.

supersedes arXiv:2103.05340

References in corpus (3)

• On the 2d Zakharov system with L^2 Schrödinger data
• Low-regularity Schrödinger maps, II: global well-posedness in dimensions $d\ge 3$
• Local Well-Posedness for the Zakharov System in Dimension $d⩽3$