arXiv Open Access 2021

Lake equations with an evanescent or emergent island

Lars Hientzsch Christophe Lacave Evelyne Miot

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Abstrak

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 lake-type equation. In the former case, the asymptotic dynamics includes an additional Dirac mass in the vorticity. The main mathematical difficulty is that the equations are singular when the water depth vanishes. We provide new uniform estimates in weighted spaces for the related stream functions which will imply the compactness result.

Topik & Kata Kunci

math.AP

Penulis (3)

Lars Hientzsch

Christophe Lacave

Evelyne Miot

Format Sitasi

APA MLA BibTeX

Hientzsch, L., Lacave, C., Miot, E. (2021). Lake equations with an evanescent or emergent island. https://arxiv.org/abs/2104.02502

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓