Global Well-posedness and Global Attractor for Two-dimensional Zakharov-Kuznetsov Equation
نویسندگان
چکیده
منابع مشابه
Local and global well-posedness results for the Benjamin-Ono-Zakharov-Kuznetsov equation
We show that the initial value problem associated to the dispersive generalized Benjamin-Ono-Zakharov-Kuznetsov equation ut −D α xux + uxyy = uux, (t, x, y) ∈ R , 1 ≤ α ≤ 2, is locally well-posed in the spaces Es, s > 2 α − 3 4 , endowed with the norm ‖f‖Es = ‖〈|ξ| α + μ〉f̂‖L2(R2). As a consequence, we get the global wellposedness in the energy space E1/2 as soon as α > 8 5 . The proof is based ...
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ژورنال
عنوان ژورنال: Acta Mathematica Sinica, English Series
سال: 2020
ISSN: 1439-8516,1439-7617
DOI: 10.1007/s10114-020-9381-6