Journal of Nonlinear Mathematical Physics

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Volume 17, Issue 4, December 2010, Pages 571 - 589

Optimal Solution for the Viscous Modified Camassa–Holm Equation

Authors
Anna Gao*, Chunyu Shen†
Faculty of Science, Jiangsu University, Xue Fu Road 301, Zhenjiang, Jiangsu 212013, P. R. China
Received 31 January 2010, Accepted 29 March 2010, Available Online 7 January 2021.
DOI
10.1142/S1402925110001082How to use a DOI?
Keywords
Viscous modified Camassa–Holm equation; optimal control; optimal solution
Abstract

In this paper, we study the optimal control problem for the viscous modified Camassa–Holm equation. We first prove the existence and uniqueness of a weak solution to this equation in a short interval by using the Galerkin method. Furthermore, the existence of an optimal solution to the viscous modified Camassa–Holm equation is proved.

Copyright
© 2010 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
17 - 4
Pages
571 - 589
Publication Date
2021/01/07
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1142/S1402925110001082How to use a DOI?
Copyright
© 2010 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Anna Gao
AU  - Chunyu Shen
PY  - 2021
DA  - 2021/01/07
TI  - Optimal Solution for the Viscous Modified Camassa–Holm Equation
JO  - Journal of Nonlinear Mathematical Physics
SP  - 571
EP  - 589
VL  - 17
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.1142/S1402925110001082
DO  - 10.1142/S1402925110001082
ID  - Gao2021
ER  -