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http://dx.doi.org/10.4134/CKMS.c180194

GLOBAL EXISTENCE AND STABILITY OF A KORTEWEG-DE VRIES EQUATION IN NONCYLINDRICAL DOMAIN  

Ha, Tae Gab (Department of Mathematics Institute of Pure and Applied Mathematics Chonbuk National University)
Publication Information
Communications of the Korean Mathematical Society / v.34, no.2, 2019 , pp. 565-572 More about this Journal
Abstract
In this paper, we consider a Korteweg-de Vries equation in noncylindrical domain. This work is devoted to prove existence and uniqueness of global solutions employing Faedo-Galerkin's approximation and transformation of the noncylindrical domain with moving boundary into cylindrical one. Moreover, we estimate the exponential decay of solutions in the asymptotically cylindrical domain.
Keywords
existence of solution; energy decay; noncylindrical domain;
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Times Cited By KSCI : 1  (Citation Analysis)
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