Initial-boundary value problems in a half-strip for two-dimensional Zakharov–Kuznetsov equation

Faminskii, Andrei V.

doi:10.1016/j.anihpc.2017.11.003

Faminskii, Andrei V.

Annales de l'I.H.P. Analyse non linéaire, Tome 35 (2018) no. 5, pp. 1235-1265.

Résumé

Initial-boundary value problems in a half-strip with different types of boundary conditions for two-dimensional Zakharov–Kuznetsov equation are considered. Results on global existence, uniqueness and long-time decay of weak and regular solutions are established.

MR Zbl

DOI : 10.1016/j.anihpc.2017.11.003

Classification : 35Q53, 35B40
Mots clés : Zakharov–Kuznetsov equation, Initial-boundary value problem, Global solution, Decay

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     author = {Faminskii, Andrei V.},
     title = {Initial-boundary value problems in a half-strip for two-dimensional {Zakharov{\textendash}Kuznetsov} equation},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {1235--1265},
     publisher = {Elsevier},
     volume = {35},
     number = {5},
     year = {2018},
     doi = {10.1016/j.anihpc.2017.11.003},
     mrnumber = {3813964},
     zbl = {1393.35203},
     language = {en},
     url = {http://www.numdam.org/articles/10.1016/j.anihpc.2017.11.003/}
}

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Faminskii, Andrei V. Initial-boundary value problems in a half-strip for two-dimensional Zakharov–Kuznetsov equation. Annales de l'I.H.P. Analyse non linéaire, Tome 35 (2018) no. 5, pp. 1235-1265. doi : 10.1016/j.anihpc.2017.11.003. http://www.numdam.org/articles/10.1016/j.anihpc.2017.11.003/

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