October 17, 2025Open Access

Nonspherically symmetric equilibrium bubbles in a steadily rotating incompressible fluid

Puntos clave

Establishes equilibrium bubbles with nonspherical symmetry in rotating fluid flows, expanding fluid dynamics study.
Findings include a horn-torus-shaped bubble, achieved under specific liquid flow conditions, illustrating complex behavior.
Explores numerical simulations using Physics-Informed Neural Networks to approximate bubble shapes, enhancing modeling accuracy.
Extends previous results on spherical bubbles to nonspherically symmetric structures, indicating broader implications for theoretical fluid dynamics.

Resumen

This note presents two nontrivial, rotational equilibrium solutions to the spatial uniform gas pressure (isobaric) approximate model of Prosperetti in the inviscid case. Building on Gavrilov's work GAFA 2019, we first establish the existence of equilibrium solutions with nontrivial (rotational) liquid flow. Second, we construct a nonspherically symmetric, horn-torus-shaped equilibrium bubble under mild spatial decay conditions of the liquid flow. In addition, we extend earlier results on the characterization of spherical equilibrium bubbles to the axisymmetric, purely azimuthal setting. Finally, we implement a numerical simulation of the equilibrium bubble shape using the Physics-Informed Neural Network (PINN) approximation.

Leer artículo completoexternamente

Preguntar a la IA

Me gusta

Guardar

Ver artículo completo