Rotating Shallow Water Equations with Bottom Drag: Bifurcations and Growth Due to Kinetic Energy Backscatter
DOI10.1137/22m152222xzbMath1522.35054arXiv2209.06651OpenAlexW4386095674MaRDI QIDQ6076410
Artur Prugger, Jens D. M. Rademacher, Jichen Yang
Publication date: 21 September 2023
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2209.06651
plane wavesinertia-gravity wavesbifurcationsrotating shallow water equationsgeostrophic balancebackscatterbottom dragunbounded instabilityexplicit flows
PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Stability in context of PDEs (35B35) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Bifurcations in context of PDEs (35B32) Waves for incompressible viscous fluids (76D33) Traveling wave solutions (35C07) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91) Systems of nonlinear higher-order PDEs (35G50)
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