Would fluid-structure interaction [1] with encapsulated systems fit the bill? It’s a subset of continuum mechanics which is probably the best field to model the

Would fluid-structure interaction [1] with encapsulated systems fit the bill? It’s a subset of continuum mechanics which is probably the best field to model the layers of atmosphere as a mix of solid and fluid continuums and oscillatory systems are a defining feature of the field: > Fluid–structure interaction (FSI) is the interaction of some movable or deformable structure with an internal or surrounding fluid flow. Fluid–structure interactions can be stable or oscillatory. In oscillatory interactions, the strain induced in the solid structure causes it to move such that the source of strain is reduced, and the structure returns to its former state only for the process to repeat. [1] https://en.m.wikipedia.org/wiki/Fluid–structure_interaction https://en.m.wikipedia.org/wiki/Fluid–structure_interaction