The two-component Camassa-Holm system in weighted Lpspaces
نویسندگان
چکیده
منابع مشابه
Periodic Conservative Solutions for the Two-component Camassa–holm System
We construct a global continuous semigroup of weak periodic conservative solutions to the two-component Camassa–Holm system, ut − utxx + κux + 3uux − 2uxuxx − uuxxx + ηρρx = 0 and ρt + (uρ)x = 0, for initial data (u, ρ)|t=0 in H1 per ×Lper. It is necessary to augment the system with an associated energy to identify the conservative solution. We study the stability of these periodic solutions by...
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ژورنال
عنوان ژورنال: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
سال: 2013
ISSN: 0044-2267
DOI: 10.1002/zamm.201200228