Seminario EDPs y Mecánica de Fluidos
Almost global existence and radiative decay of three dimensional spherical gas bubble inside inviscid compressible liquid
Ponente: Liangchen Zou (University of Science and Technology of China)Fecha: jueves 14 de noviembre de 2024 - 12:00Lugar: Aula Naranja, ICMAT
Resumen:
In this talk, we consider the free boundary problem of a homogeneous bubble inside an unbounded isentropic compressible inviscid liquid. The exterior liquid is governed by the compressible Euler equation while the free bubble surface is determined by the kinematic and dynamic boundary conditions on the bubble liquid interface. We begin by showing the local existence and uniqueness of solutions under an iteration scheme. Then we proved the almost global existence of the solution and a decay estimate of bubble oscillation through a bootstrap argument and the analysis of the characteristics.
