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math-ph2026
Inverse construction of exact atmospheric models and the 3.7--4.4\,mHz acoustic resonances
O. V. Kaptsov
Large explosive eruptions and earthquakes excite atmospheric oscillations near 3.7 and 4.4\,mHz that couple to the solid Earth. For vertically propagating linear acoustic--gravity…
math-ph2025
Solutions of Three-Dimensional Stationary Gas Dynamics Equations
O. V. Kaptsov
This paper examines the three-dimensional stationary equations of a polytropic gas and employs symmetry methods to construct exact analytical solutions. In the Chaplygin gas case,…