Analytic properties of solutions to the equation of internal gravity waves with flows for critical modes of wave generation
DOI10.1134/s0081543823040065zbMath1529.76026OpenAlexW4390002790MaRDI QIDQ6182812
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Publication date: 21 December 2023
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0081543823040065
incomplete gamma functionasymptotic solutionlinear wavebuoyancy frequencyTaylor-Goldstein equationstratified horizontal shear flow
Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Internal waves for incompressible inviscid fluids (76B55) Stratification effects in inviscid fluids (76B70)
Cites Work
- Stability boundaries and sufficient stability conditions for stably stratified, monotonic shear flows
- Dynamics of internal gravity waves in the ocean. Translated from the 1981 Russian original and edited by O. D. Shishkina. With a foreword by Andrey S. Monin
- Harmonic internal waves in a semi-infinite stratified medium with shear flows
- A WKB derivation for internal waves generated by a horizontally moving body in a thermocline
- Internal Gravity Waves
- Internal waves in a horizontally inhomogeneous flow
- A simplified Fourier method for computing the internal wavefield generated by an oscillating source in a horizontally moving, depth-dependent background
- Identifying unstable modes in stratified shear layers
- Shear-induced breaking of internal gravity waves
- The Miles Theorem and the First Boundary Value Problem for the Taylor-Goldstein Equation
- Baroclinic Tides
- On the stability of heterogeneous shear flows
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