# Models for damped water waves

## TL;DR

This paper develops new weakly nonlinear asymptotic models for viscous water waves in deep water, incorporating various dissipative effects and extending previous free boundary problem formulations.

## Contribution

It introduces novel asymptotic models that account for multiple dissipative effects in viscous water waves, expanding on prior free boundary problem frameworks.

## Key findings

- Models incorporate multiple dissipative effects
- Extension of previous free boundary formulations
- Provides new tools for analyzing viscous water waves

## Abstract

In this paper we derive some new weakly nonlinear asymptotic models describing viscous waves in deep water with or without surface tension effects. These asymptotic models take into account several different dissipative effects and are obtained from the free boundary problems formulated in the works of Dias, Dyachenko and Zakharov (Physics Letters A, 2008), Jiang, Ting, Perlin and Schultz (Journal of Fluid Mechanics,1996) and Wu, Liu and Yue (Journal of Fluid Mechanics, 2006).