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math.AP2021
Degenerate lake equations: classical solutions and vanishing viscosity limit
Bilal Al Taki, Christophe Lacave
The objective of this paper is twofold. First, we show the existence of global classical solutions to the degenerate inviscid lake equations. This result is achieved after revising…
math.AP2021
Lake equations with an evanescent or emergent island
Lars Hientzsch, Christophe Lacave, Evelyne Miot
We study the asymptotic dynamics of the lake equations in the following two cases, an island shrinking to a point and an emerging island. For both cases, we derive an asymptotic la…