JournalsaihpcVol. 35, No. 5pp. 1235–1265

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

  • Andrei V. Faminskii

    Peoples' Friendship University of Russia (RUDN University), 6 Miklukho–Maklaya Street, Moscow, 117198, Russian Federation
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Abstract

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.

Cite this article

Andrei V. Faminskii, Initial-boundary value problems in a half-strip for two-dimensional Zakharov–Kuznetsov equation. Ann. Inst. H. Poincaré Anal. Non Linéaire 35 (2018), no. 5, pp. 1235–1265

DOI 10.1016/J.ANIHPC.2017.11.003