Interconnection and Variational Principles for Fluid-Bubble Dynamics

François Gay-Balmaz; Hiroaki Yoshimura

doi:10.1007/978-3-032-03921-7_22

Interconnection and Variational Principles for Fluid-Bubble Dynamics

François Gay-Balmaz
, Hiroaki Yoshimura

Nanyang Technological University
Waseda University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We consider the dynamics of a barotropic fluid interacting with a bubble filled with uniform gas from the perspective of system interconnection in Lagrangian mechanics. Extending the existing geometric framework to an infinite-dimensional setting requires careful consideration of the appropriate duality pairing underlying the relationship between interaction forces and distribution constraints. We address both inviscid and viscous cases, including surface tension, and consider both free-slip and no-slip interface conditions. This work represents a first step toward building the geometric foundations for Rayleigh-Plesset equation and its related models.

Original language	English
Title of host publication	Geometric Science of Information - 7th International Conference, GSI 2025, Proceedings
Editors	Frank Nielsen, Frédéric Barbaresco
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	214-224
Number of pages	11
ISBN (Print)	9783032039200
DOIs	https://doi.org/10.1007/978-3-032-03921-7_22
Publication status	Published - 1 Jan 2026
Externally published	Yes
Event	7th International Conference on Geometric Science of Information, GSI 2025 - Saint-Malo, France Duration: 29 Oct 2025 → 31 Oct 2025

Publication series

Name	Lecture Notes in Computer Science
Volume	16034 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	7th International Conference on Geometric Science of Information, GSI 2025
Country/Territory	France
City	Saint-Malo
Period	29/10/25 → 31/10/25

Keywords

Fluid-bubble interaction
Interconnection
Interface condition
Variational principle

Access to Document

10.1007/978-3-032-03921-7_22

Cite this

Gay-Balmaz, F., & Yoshimura, H. (2026). Interconnection and Variational Principles for Fluid-Bubble Dynamics. In F. Nielsen, & F. Barbaresco (Eds.), Geometric Science of Information - 7th International Conference, GSI 2025, Proceedings (pp. 214-224). (Lecture Notes in Computer Science; Vol. 16034 LNCS). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-032-03921-7_22

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Gay-Balmaz, F & Yoshimura, H 2026, Interconnection and Variational Principles for Fluid-Bubble Dynamics. in F Nielsen & F Barbaresco (eds), Geometric Science of Information - 7th International Conference, GSI 2025, Proceedings. Lecture Notes in Computer Science, vol. 16034 LNCS, Springer Science and Business Media Deutschland GmbH, pp. 214-224, 7th International Conference on Geometric Science of Information, GSI 2025, Saint-Malo, France, 29/10/25. https://doi.org/10.1007/978-3-032-03921-7_22

Interconnection and Variational Principles for Fluid-Bubble Dynamics. / Gay-Balmaz, François; Yoshimura, Hiroaki.
Geometric Science of Information - 7th International Conference, GSI 2025, Proceedings. ed. / Frank Nielsen; Frédéric Barbaresco. Springer Science and Business Media Deutschland GmbH, 2026. p. 214-224 (Lecture Notes in Computer Science; Vol. 16034 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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