Article ID Journal Published Year Pages File Type
4609286 Journal of Differential Equations 2016 33 Pages PDF
Abstract

We consider a type of dispersive–dissipative system that arises in the infinite ion acoustic speed limit of the magnetic Zakharov system in a hot plasma. It is shown that this system admits a unique global smooth solution for suitably small initial data. Decay estimates for the solution are also obtained. In particular, the L2L2 and L∞L∞ decay rates for the magnetic field are sharp.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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