Outgoing modal solutions for Galbrun's equation in helioseismology

DOI10.1016/j.jde.2021.03.031zbMath1466.85003OpenAlexW3139086366MaRDI QIDQ2020127

Florian Faucher, Laurent Gizon, Damien Fournier, Ha Thanh Pham, Hélène Barucq

Publication date: 23 April 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2021.03.031

zbMATH Keywords

long-range scatteringhelioseismologyGalbrun's equationindicial analysismodal outgoing Green's kernel

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Seismology (including tsunami modeling), earthquakes (86A15) Wave equation (35L05) Green's functions for ordinary differential equations (34B27) Galactic and stellar structure (85A15) General theory of mathematical modeling (00A71)

Related Items (1)

On the Treatment of Exterior Domains for the Time-Harmonic Equations of Stellar Oscillations

Cites Work

• Analyticity properties in scattering and spectral theory for Schrödinger operators with long-range radial potentials
• The low energy scattering for slowly decreasing potentials
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• Outgoing solutions and radiation boundary conditions for the ideal atmospheric scalar wave equation in helioseismology
• Efficient and Accurate Algorithm for the Full Modal Green's Kernel of the Scalar Wave Equation in Helioseismology
• On the Stability of Differentially Rotating Bodies
• Inverse acoustic and electromagnetic scattering theory
• Acoustic and electromagnetic equations. Integral representations for harmonic problems
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