Extrema of the dynamic pressure in an irrotational regular wave train with underlying currents and infinite depth

TL;DR

This paper analyzes the extrema of dynamic pressure in irrotational regular wave trains with underlying currents at infinite depth, using maximum principles and physical structure insights.

Contribution

It introduces a novel approach combining maximum principles with physical structures to determine pressure extrema in complex wave scenarios.

Findings

Identifies maximum and minimum dynamic pressures in wave trains with currents.

Provides a mathematical framework for pressure analysis in infinite depth conditions.

Enhances understanding of pressure behavior in irrotational wave models.

Abstract

In this paper, we investigate the maximum and minimum of the dynamic pressure in a regular wave train with underlying currents and infinite depth respectively. The result is obtained using maximum principles in combination with exploiting some of the physical structures of the problem itself.