Local Well-Posedness of a System Describing Laser-Plasma Interactions

Sebastian Herr, Isao Kato, S. Kinoshita, Martin Spitz

Type: Article

Publication Date: 2022-09-15

Citations: 0

DOI: https://doi.org/10.1007/s10013-022-00577-0

Abstract

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.

Locations

Vietnam Journal of Mathematics - View - PDF

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