Abstract
In this paper, we study the well-posedness results for the magnetic type Zakharov system. Such system describes the pondermotive force and magnetic field generation effects resulting from the nonlinear interaction between plasma-wave and particles. By using energy methods together with commutator estimate, we first derive a priori estimates for a regularized system. Then by approximation arguments, we obtain local existence results as well as global existence for small initial data.
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Communicated by A. Constantin.
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Zhang, J., Guo, C. & Guo, B. On the Cauchy problem for the magnetic Zakharov system. Monatsh Math 170, 89–111 (2013). https://doi.org/10.1007/s00605-012-0402-0
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DOI: https://doi.org/10.1007/s00605-012-0402-0