Virial type blow-up solutions for the Zakharov system with magnetic field in a cold plasma

In this paper, we study blow-up solutions of virial type to the Zakharov system with magnetic field in a cold plasma in RN (N = 2, 3). After obtaining some a priori estimates on those terms generated by the magnetic field, we obtain a virial type blow-up result to the system under consideration. The result suggests that the magnetic field in a cold plasma doesn’t affect the virial type blow-up character of the Zakharov system. © 2011 Elsevier Inc. All rights reserved