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arXiv · 1004.3033

On the Cauchy problem for the magnetic Zakharov system

Boling Guo·Jingjun Zhang·Chunxiao Guo
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Abstract

In this paper, we study the Cauchy problem of the magnetic type Zakharov system which describes the pondermotive force and magnetic field generation effects resulting from the non-linear interaction between plasma-wave and particles. By using the energy method to derive a priori bounds and an approximation argument for the construction of solutions, we obtain local existence and uniqueness results for the magnetic Zakharov system in the case of $d=2,3$.

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Boling Guo, Jingjun Zhang, Chunxiao Guo. 2010-04-18. On the Cauchy problem for the magnetic Zakharov system. https://doi.org/10.1088/0951-7715%2F24%2F8%2F004

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