INCOMPRESSIBLE SCHRÖDINGER FLOW WITH HEAT TRANSFER: AN INTRODUCTION TO THE ANALYSIS OF ISOTROPIC FLUID DYNAMICS IN SOBOLEV SPACES FOR AN IMMERSED ARBITRARY ISOTHERMAL GEOMETRY - AN OVERVIEW

This research investigates the intricate interplay of incompressible Schrödinger flow, heat-transfer, and the presence of an immersed isothermal body. The mathematical framework encompasses the Schrödinger equation for incompressible fluids, the heat transfer equation, and introduces a term that represents the thermal influence of an immersed isothermal geometry. Emphasizing the modeling and analysis of isotropic fluid dynamics, the study seeks to unravel the subtle relationship between the principles of quantum mechanics and the classical behavior of fluids. The initial discoveries produce an important theorem that leads the name of the authors, allowing new and valuable insights into the effects of the isothermal body immersed in a fluid medium. As a result, it was found that the term temperature source offers a unique perspective at the intersection of quantum mechanics and fluid dynamics.