On a nonlocal Zakharov equation

Brigitte Bidégaray (1)

1 CMLA - Centre de Mathématiques et de Leurs Applications

This article deals with the Cauchy problem for a nonlocal Zakharov equation. We will first recall the physical motivation (due to V.E. Zakharov) of this system. Then we will study the local Cauchy problem for certain initial data, and will identify the limit of the solutions when the ion velocity tends to infinity.

Domaines: Equations aux dérivées partielles [math.AP]

Brigitte Bidégaray. On a nonlocal Zakharov equation. Nonlinear Evolution Equations and Dynamical Systems (NEEDS'92), 1992, Dubna, Russia. pp.348-355. ⟨hal-00319997⟩