Global existence and stability of a korteweg-de vries equation in noncylindrical domain

Tae Gab Ha

doi:10.4134/CKMS.c180194

Global existence and stability of a korteweg-de vries equation in noncylindrical domain

Tae Gab Ha^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

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 so-lutions in the asymptotically cylindrical domain.

Original language	English
Pages (from-to)	565-572
Number of pages	8
Journal	Communications of the Korean Mathematical Society
Volume	34
Issue number	2
DOIs	https://doi.org/10.4134/CKMS.c180194
State	Published - 2019

Keywords

Energy decay
Existence of solution
Noncylindrical domain

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.4134/CKMS.c180194

Cite this

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title = "Global existence and stability of a korteweg-de vries equation in noncylindrical domain",

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 so-lutions in the asymptotically cylindrical domain.",

keywords = "Energy decay, Existence of solution, Noncylindrical domain",

author = "Ha, \{Tae Gab\}",

note = "Publisher Copyright: {\textcopyright} 2019 Korean Mathematical Society.",

year = "2019",

doi = "10.4134/CKMS.c180194",

language = "English",

volume = "34",

pages = "565--572",

journal = "Communications of the Korean Mathematical Society",

issn = "1225-1763",

number = "2",

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TY - JOUR

T1 - Global existence and stability of a korteweg-de vries equation in noncylindrical domain

AU - Ha, Tae Gab

PY - 2019

Y1 - 2019

N2 - 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 so-lutions in the asymptotically cylindrical domain.

AB - 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 so-lutions in the asymptotically cylindrical domain.

KW - Energy decay

KW - Existence of solution

KW - Noncylindrical domain

UR - https://www.scopus.com/pages/publications/85084258585

U2 - 10.4134/CKMS.c180194

DO - 10.4134/CKMS.c180194

M3 - Journal article

AN - SCOPUS:85084258585

SN - 1225-1763

VL - 34

SP - 565

EP - 572

JO - Communications of the Korean Mathematical Society

JF - Communications of the Korean Mathematical Society

IS - 2

ER -

Global existence and stability of a korteweg-de vries equation in noncylindrical domain

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

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