Geodesic
Dissipative Zakharov system in two-dimensional thin domain
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 12 (2005) no. 2, pp. 230-245 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study the dissipative case of the Zakharov system with periodic boundary conditions in the two-dimensional thin domain. We prove that this system has a unique strong solution. Our proof is based on the Galerkin method of approximations. 
@article{JMAG_2005_12_2_a7,
     author = {A. S. Shcherbina},
     title = {Dissipative {Zakharov} system in two-dimensional thin domain},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {230--245},
     year = {2005},
     volume = {12},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2005_12_2_a7/}
}
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A. S. Shcherbina. Dissipative Zakharov system in two-dimensional thin domain. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 12 (2005) no. 2, pp. 230-245. http://geodesic.mathdoc.fr/item/JMAG_2005_12_2_a7/