The paper deals with initial boundary-value problems for the Zakharov system arising in plasma physics in two-dimensional domains under various boundary conditions. We prove the global well-posedness of these problems in some Sobolev-type classes and study properties of the solutions. In the dissipative case the existence of a global attractor is established.
"On 2D Zakharov system in a bounded domain." Differential Integral Equations 18 (7) 781 - 812, 2005. https://doi.org/10.57262/die/1356060166