Existence and uniqueness of solutions to initial boundary value problem for the higher order Boussinesq equation

Goksu Oruc; Gulcin M. Muslu

doi:10.1016/j.nonrwa.2018.11.012

Existence and uniqueness of solutions to initial boundary value problem for the higher order Boussinesq equation

Goksu Oruc^*
, Gulcin M. Muslu

^*Corresponding author for this work

Department of Mathematics Engineering

Istanbul Technical University

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

This paper studies the initial and boundary value problem for the higher order Boussinesq equation. The existence of a local and global solution are proved. The sufficient conditions for finite time blow-up solutions are provided by using the concavity method.

Original language	English
Pages (from-to)	436-445
Number of pages	10
Journal	Nonlinear Analysis: Real World Applications
Volume	47
DOIs	https://doi.org/10.1016/j.nonrwa.2018.11.012
Publication status	Published - Jun 2019

Bibliographical note

Publisher Copyright:
© 2018 Elsevier Ltd

Keywords

Blow-up
Concavity method
Existence of global solution
Existence of local solution
Initial and boundary value problem
The higher order Boussinesq equation

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10.1016/j.nonrwa.2018.11.012

Cite this

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title = "Existence and uniqueness of solutions to initial boundary value problem for the higher order Boussinesq equation",

abstract = "This paper studies the initial and boundary value problem for the higher order Boussinesq equation. The existence of a local and global solution are proved. The sufficient conditions for finite time blow-up solutions are provided by using the concavity method.",

keywords = "Blow-up, Concavity method, Existence of global solution, Existence of local solution, Initial and boundary value problem, The higher order Boussinesq equation",

author = "Goksu Oruc and Muslu, \{Gulcin M.\}",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Ltd",

year = "2019",

month = jun,

doi = "10.1016/j.nonrwa.2018.11.012",

language = "English",

volume = "47",

pages = "436--445",

journal = "Nonlinear Analysis: Real World Applications",

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T1 - Existence and uniqueness of solutions to initial boundary value problem for the higher order Boussinesq equation

AU - Oruc, Goksu

AU - Muslu, Gulcin M.

PY - 2019/6

Y1 - 2019/6

N2 - This paper studies the initial and boundary value problem for the higher order Boussinesq equation. The existence of a local and global solution are proved. The sufficient conditions for finite time blow-up solutions are provided by using the concavity method.

AB - This paper studies the initial and boundary value problem for the higher order Boussinesq equation. The existence of a local and global solution are proved. The sufficient conditions for finite time blow-up solutions are provided by using the concavity method.

KW - Blow-up

KW - Concavity method

KW - Existence of global solution

KW - Existence of local solution

KW - Initial and boundary value problem

KW - The higher order Boussinesq equation

UR - https://www.scopus.com/pages/publications/85058818559

U2 - 10.1016/j.nonrwa.2018.11.012

DO - 10.1016/j.nonrwa.2018.11.012

M3 - Article

AN - SCOPUS:85058818559

SN - 1468-1218

VL - 47

SP - 436

EP - 445

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

ER -

Existence and uniqueness of solutions to initial boundary value problem for the higher order Boussinesq equation

Abstract

Bibliographical note

Keywords

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