Innovative Potential Estimates in Schrödinger Equations: Bridging Quantum Mechanics and Fluid Dynamics

Asset Durmagambetov

doi:10.20944/preprints202404.0653.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 8 April 2024 / Approved: 9 April 2024 / Online: 9 April 2024 (11:57:25 CEST)

This manuscript presents a novel approach to estimating the potential within Schrödinger equations, with a particular focus on applications to the Navier-Stokes problem in fluid dynamics. By establishing new theoretical estimates, we delve into the intricate dynamics of fluid flow, aiming to unveil previously obscured aspects of the Navier-Stokes equations. Through a rigorous mathematical framework, we explore how these new potential estimates can provide a fresh perspective on fluid mechanics, contributing to the ongoing quest to solve some of its most persistent challenges.

Schrödinger equation; potential estimation; Navier-Stokes problem; fluid dynamics; mathematical physics

Physical Sciences, Fluids and Plasmas Physics

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Innovative Potential Estimates in Schrödinger Equations: Bridging Quantum Mechanics and Fluid Dynamics

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