Decay of regular solutions for the critical 2D Zakharov–Kuznetsov equation posed on rectangles
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DOI: 10.1063/1.5100284
Abstract: An initial-boundary value problem for the critical generalized 2D Zakharov–Kuznetsov equation posed on rectangles is considered. The existence, uniqueness, and exponential decay rate of global regular solutions for small initial data are established. read more here.
Keywords: posed rectangles; kuznetsov equation; equation posed; zakharov kuznetsov ... See more keywords
Modified Zakharov–Kuznetsov equation posed on a strip
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DOI: 10.1080/00036811.2020.1754402
Abstract: An initial-boundary value problem of Saut–Temam type for the modified Zakharov–Kuznetsov equation posed on a strip is considered. Critical power in nonlinearity has been studied. The results on exi... read more here.
Keywords: kuznetsov equation; modified zakharov; equation posed; posed strip ... See more keywords