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
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.
DOI :
10.1016/j.anihpc.2017.11.003
Classification :
35Q53, 35B40
Keywords: Zakharov–Kuznetsov equation, Initial-boundary value problem, Global solution, Decay
Keywords: Zakharov–Kuznetsov equation, Initial-boundary value problem, Global solution, Decay
@article{AIHPC_2018__35_5_1235_0,
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},
year = {2018},
publisher = {Elsevier},
volume = {35},
number = {5},
doi = {10.1016/j.anihpc.2017.11.003},
mrnumber = {3813964},
zbl = {1393.35203},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2017.11.003/}
}
TY - JOUR AU - Faminskii, Andrei V. TI - Initial-boundary value problems in a half-strip for two-dimensional Zakharov–Kuznetsov equation JO - Annales de l'I.H.P. Analyse non linéaire PY - 2018 SP - 1235 EP - 1265 VL - 35 IS - 5 PB - Elsevier UR - http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2017.11.003/ DO - 10.1016/j.anihpc.2017.11.003 LA - en ID - AIHPC_2018__35_5_1235_0 ER -
%0 Journal Article %A Faminskii, Andrei V. %T Initial-boundary value problems in a half-strip for two-dimensional Zakharov–Kuznetsov equation %J Annales de l'I.H.P. Analyse non linéaire %D 2018 %P 1235-1265 %V 35 %N 5 %I Elsevier %U http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2017.11.003/ %R 10.1016/j.anihpc.2017.11.003 %G en %F AIHPC_2018__35_5_1235_0
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
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