2023
DOI: 10.1063/5.0156126
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Liouville-type results for time-dependent stratified water flows over variable bottom in the β-plane approximation

Calin Iulian Martin

Abstract: We consider here time-dependent three-dimensional stratified geophysical water flows of finite depth over a variable bottom with a free surface and an interface (separating two layers of constant and different densities). Under the assumption that the vorticity vectors in the two layers are constant, we prove that bounded solutions to the three-dimensional water waves equations in the β-plane approximation exist if and only if one of the horizontal components of the velocity, as well as its vertical component,… Show more

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Cited by 4 publications
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