Some remarks on the blow-up rate for the 3D magnetic Zakharov system (Q490721)

The authors study here the three-dimensional system of Zakharov equations that describes magnetic plasma. This is a continuation of the earlier work of the same authors published in [ibid. 261, No. 9, 2508--2528 (2011; Zbl 1248.35025)]. The main purpose of this work is to study the blow-up rate for solutions of the magnetic Zakharov system. The authors derive space-time integral estimates on the weak solutions of the system, which exhibit blow-up in a finite time.