TY - GEN
T1 - Interconnection and Variational Principles for Fluid-Bubble Dynamics
AU - Gay-Balmaz, François
AU - Yoshimura, Hiroaki
N1 - Publisher Copyright:
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2026.
PY - 2026/1/1
Y1 - 2026/1/1
N2 - 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.
AB - 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.
KW - Fluid-bubble interaction
KW - Interconnection
KW - Interface condition
KW - Variational principle
UR - https://www.scopus.com/pages/publications/105035305597
U2 - 10.1007/978-3-032-03921-7_22
DO - 10.1007/978-3-032-03921-7_22
M3 - Conference contribution
AN - SCOPUS:105035305597
SN - 9783032039200
T3 - Lecture Notes in Computer Science
SP - 214
EP - 224
BT - Geometric Science of Information - 7th International Conference, GSI 2025, Proceedings
A2 - Nielsen, Frank
A2 - Barbaresco, Frédéric
PB - Springer Science and Business Media Deutschland GmbH
T2 - 7th International Conference on Geometric Science of Information, GSI 2025
Y2 - 29 October 2025 through 31 October 2025
ER -