SEMIGROUP APPROACH FOR THE SOLUTION OF BOUNDARY LAYER EQUATION WITH SINC FUNCTION TERM

Abstract

Boundary layer equation is crucial in fluid dynamics for modeling viscous flow near surfaces. It provides insight into flow behaviour, drag reduction, heat transfer and stability, making it essential in both theoretical and applied fluid mechanics. This paper examines the semigroup approach for solving the boundary layer equation incorporating a Sinc function term. The addition of the Sinc function term necessitates specialized functional analysis techniques and its effects are analyzed. We establish well-posedness in a suitable function space by analyzing the existence, uniqueness of the mild solution. We demonstrate the semigroup method's effectiveness in capturing boundary layer dynamics, contributing to the study of semigroup methods in fluid mechanics and partial differential equations. The influences of the Sinc function term are analyzed and illustrative examples are included to validate the approach and to also highlight its applicability.