arXiv Open Access 2024

Derivation of stochastic models for coastal waves

Arnaud Debussche Étienne Mémin Antoine Moneyron

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Abstrak

In this paper, we consider a stochastic nonlinear formulation of classical coastal waves models under location uncertainty (LU). In the formal setting investigated here, stochastic versions of the Serre-Green- Nagdi, Boussinesq and classical shallow water wave models are obtained through an asymptotic expansion, which is similar to the one operated in the deterministic setting. However, modified advection terms emerge, together with advection noise terms. These terms are well-known features arising from the LU formalism, based on momentum conservation principle.

Topik & Kata Kunci

math.PR

Penulis (3)

Arnaud Debussche

Étienne Mémin

Antoine Moneyron

Format Sitasi

APA MLA BibTeX

Debussche, A., Mémin, É., Moneyron, A. (2024). Derivation of stochastic models for coastal waves. https://arxiv.org/abs/2407.02298

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓