26879 articles – 20542 references  [version française]
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Nonlinear Evolution Equations and Dynamical Systems (NEEDS'92), Dubna : Russie, Fédération De (1992)
On a nonlocal Zakharov equation
Brigitte Bidégaray1

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.
1:  CMLA - Centre de Mathématiques et de Leurs Applications