Scattering for the Zakharov system in 3 dimensions
  We prove global existence and scattering for small localized solutions of the Cauchy problem for the Zakharov system in 3 space dimensions. The wave component is shown to decay pointwise at the optimal rate of t^{-1}, whereas the Schr\"odinger component decays almost at a rate of t^{-7/6}. 
Zaher Hani, Fabio Pusateri and Jalal Shatah
math.AP