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.
Mots clés : 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}, 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://archive.numdam.org/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://archive.numdam.org/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://archive.numdam.org/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. http://archive.numdam.org/articles/10.1016/j.anihpc.2017.11.003/
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