Abstract
The paper is concerned with the Zakharov system with three dimensional magnetic field in the subsonic limit, which describes the spontaneous generation of a magnetic field in cold plasma. In fact, we will investigate the effect of the magnetic field term on the equations. By using variational calculus, we obtain the threshold of global existence and blowup of the solution to the equations, which will be more complicated and requires more skill.
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Shuai, K., Huang, J. & Pan, Z. Sharp threshold of global existence for the generalized Zakharov system with three-dimensional magnetic field in the subsonic limit. Math Notes 97, 450–467 (2015). https://doi.org/10.1134/S0001434615030165
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DOI: https://doi.org/10.1134/S0001434615030165