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Paper Abstract and Keywords
Presentation 2024-01-25 09:40
Periodic solutions obtained with multiple scale analysis of an ODE model for a forced viscous fluid layer
Seijiro Sone, Takeshi Ooshida (Tottori Univ.) NLP2023-101 MICT2023-56 MBE2023-47
Abstract (in Japanese) (See Japanese page) 
(in English) For a shallow-water system subject to horizontal shaking,
numerical analysis of a PDE model based on the Navier-Stokes equations
is known to give periodic solutions in some cases and not in others.
Here we study a Riccati-type ODE model derived from the PDE model mentioned above, for which we obtain periodic solutions analytically
by transforming it into the Mathieu equation
and using the multiple scale method.
Keyword (in Japanese) (See Japanese page) 
(in English) periodic solutions / viscous fluid / Ricatti-type ODE / Mathieu equation / multiple scale analysis / / /  
Reference Info. IEICE Tech. Rep., vol. 123, no. 354, NLP2023-101, pp. 86-89, Jan. 2024.
Paper # NLP2023-101 
Date of Issue 2024-01-17 (NLP, MICT, MBE) 
ISSN Online edition: ISSN 2432-6380
Copyright
and
reproduction		 All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF NLP2023-101 MICT2023-56 MBE2023-47

Conference Information
Committee NC MBE NLP MICT  
Conference Date 2024-01-24 - 2024-01-25 
Place (in Japanese) (See Japanese page) 
Place (in English) Naruto University of Education 
Topics (in Japanese) (See Japanese page) 
Topics (in English) NC, MBE, MICT, NLP, etc. 
Paper Information
Registration To NLP 
Conference Code 2024-01-NC-MBE-NLP-MICT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Periodic solutions obtained with multiple scale analysis of an ODE model for a forced viscous fluid layer 
Sub Title (in English)  
Keyword(1) periodic solutions  
Keyword(2) viscous fluid  
Keyword(3) Ricatti-type ODE  
Keyword(4) Mathieu equation  
Keyword(5) multiple scale analysis  
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Keyword(7)  
Keyword(8)  
1st Author's Name Seijiro Sone  
1st Author's Affiliation Tottori University (Tottori Univ.)
2nd Author's Name Takeshi Ooshida  
2nd Author's Affiliation Tottori University (Tottori Univ.)
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Speaker Author-1 
Date Time 2024-01-25 09:40:00 
Presentation Time 20 minutes 
Registration for NLP 
Paper # NLP2023-101, MICT2023-56, MBE2023-47 
Volume (vol) vol.123 
Number (no) no.354(NLP), no.355(MICT), no.356(MBE) 
Page pp.86-89 
#Pages 4 
Date of Issue 2024-01-17 (NLP, MICT, MBE) 

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