This work provided analytical investigations of internal gravity waves affected by the presence of two localized chemicals. Based on the coupling between gravity wave equations under the Boussinesq approximation and the continuity equations for two chemicals, the study presented a mathematical model modeling gravity-wave interactions with the two atmospheric chemicals. The linearized version of this model was analytically investigated for two cases: one with constant mean flow and the other one with a nonconstant mean flow, resulting in a critical level effect. It was observed that in both cases the presence of the two chemicals led to a significant impact on gravity waves. Analytical investigations of the vertically varying mean flow case reveal that the wave-reduction behavior was observed in the vicinity of the critical layer.
Citation: Ahmed S. Almohaimeed. Analytical solutions of a modified Taylor–Goldstein equation modeling linearized gravity waves influenced by multiple chemicals in the atmosphere[J]. AIMS Mathematics, 2025, 10(9): 22678-22698. doi: 10.3934/math.20251009
This work provided analytical investigations of internal gravity waves affected by the presence of two localized chemicals. Based on the coupling between gravity wave equations under the Boussinesq approximation and the continuity equations for two chemicals, the study presented a mathematical model modeling gravity-wave interactions with the two atmospheric chemicals. The linearized version of this model was analytically investigated for two cases: one with constant mean flow and the other one with a nonconstant mean flow, resulting in a critical level effect. It was observed that in both cases the presence of the two chemicals led to a significant impact on gravity waves. Analytical investigations of the vertically varying mean flow case reveal that the wave-reduction behavior was observed in the vicinity of the critical layer.
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Ahmed S. Almohaimeed. Analytical solutions of a modified Taylor–Goldstein equation modeling linearized gravity waves influenced by multiple chemicals in the atmosphere[J]. AIMS Mathematics, 2025, 10(9): 22678-22698. doi: 10.3934/math.20251009
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