Work

Characterization of the spectra of rotating truncated gas planets and inertia–gravity modes

Year: 2025

Type: article

Abstract: We study the essential spectrum, which corresponds to inertia-gravity modes, of the system of equations governing a rotating and self-gravitating gas planet. With certain boundary conditions, we rigorously and precisely characterize the essential spectrum and show how it splits from the portion of the spectrum corresponding to the acoustic modes. The fundamental mathematical tools in our analysis are a generalization of the Helmholtz decomposition and the Lopantinskii conditions.

Source: Zeitschrift für angewandte Mathematik und Physik

DOI: 10.1007/s00033-025-02629-0

Authors: Maarten V. de Hoop, Sean Holman

Institutions: Rice University, University of Manchester

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,590

Funders: National Science Foundation, Simons Foundation, Engineering and Physical Sciences Research Council, Division of Mathematical Sciences