On a linear problem arising in dynamic boundaries

TL;DR

This paper investigates a linear mathematical problem related to dynamic boundary phenomena, especially in fluid dynamics, providing insights into its structure and significance.

Contribution

It introduces and analyzes a linear problem relevant to free boundary problems in fluid dynamics, highlighting its natural mathematical interest.

Findings

Characterization of the linear problem's properties

Connections to free boundary problems in fluid dynamics

Potential applications in modeling dynamic boundaries

Abstract

We study a linear problem that arises in the study of dynamic boundaries, in particular in free boundary problems in connection with fluid dynamics. The equations are also very natural and of interest on their own.