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The AI-Thermodynamics Revolution: Accelerating Scientific Discovery and Engineering a Sustainable Future
The application of Artificial Intelligence (AI), particularly Machine Learning (ML), has demonstrated remarkable success in thermodynamics, enabling the development of highly accurate and efficient models for molecular simulation, materials design, and property prediction. Pioneering work, such as the creation of High-Dimensional Neural Network Potentials (HDNNPs) by Behler and Parrinello [1] and the subsequent rise of…
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Artificial Intelligence in Fluid Dynamics: A Literature Review of Applications, Challenges, and Future Directions
Summary Decoding Fluid Dynamics: How AI is Redefining Computational Science The study of fluid dynamics (FD) is undergoing a profound transformation, moving from traditional Computational Fluid Dynamics (CFD) to a new paradigm powered by Artificial Intelligence (AI) and Machine Learning (ML). This shift is not merely an optimization of existing methods but a fundamental change…
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Meet The New Family of Blow-Ups Discovered By Google DeepMind
For centuries, mathematicians and physicists have used equations like the Euler and Navier-Stokes equations to describe how fluids move. A big mystery is whether these equations can predict that a smooth, well-behaved flow will suddenly develop a “singularity”—a point where things like velocity become infinite in a finite amount of time. Most previous research has…
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Vacuum Fluctuations and Their Impact on Quantum Computing Architectures
Executive Summary: A Structured Literature Review on Vacuum Fluctuations and Their Impact on Quantum Computing Architectures The “empty” space of a vacuum, far from being a void, is in fact a seething sea of quantum fluctuations, a consequence of fundamental physics that challenges the very foundations of how we build quantum computers. This literature review…
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A Critical Review and Taxonomy of Flawed Proofs for the Navier-Stokes Existence and Smoothness Problem
Executive Summary of Failed Proof Attempts The quest to prove the global existence and smoothness of solutions to the three-dimensional incompressible Navier-Stokes equations has captivated mathematicians for over a century. Recognized as one of the seven Millennium Prize Problems by the Clay Mathematics Institute, this challenge carries a $1 million prize and represents a fundamental…
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The Navier–Stokes Millennium Problem: An Examination of Existence, Smoothness, and the Fundamental Questions of Fluid Motion
Based on the literature reviews, there are no direct mathematical or physical insights presented in the Water in Vacuum Literature Review article that directly contribute to solving the Navier-Stokes Millennium Problem. However, a closer look at the core concepts of both fields reveals several intriguing parallels in their underlying physics and mathematical challenges. The fundamental…
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Vacuum-Induced Phase Changes in Liquids: A Comprehensive Review of Thermodynamic Behavior and Experimental Studies
The literature on vacuum liquid phase transitions provides a fascinating and relevant context for the Navier-Stokes Millennium Problem, not by offering a direct solution to the existence and smoothness of its solutions, but by highlighting the precise physical conditions under which the equations’ underlying assumptions break down. Vacuum-Induced Phase Changes in Liquids: A Comprehensive Review…
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Amorphous Ice in Comets Research Note
The LLPT Hypothesis and Water Anomalies The perplexing behavior of water has led to one of the most significant theoretical debates in physical chemistry: the hypothesis of a Liquid-Liquid Phase Transition (LLPT). This theory posits that in the deeply supercooled region of water—a state below the normal freezing point but where crystallization has not yet…
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The Fastest Way to Understand Any Mathematical Function
Decode any math function in minutes: A Step-by-Step Framework powered by AI Example Navier-Stokes equation: Show an example of the output or outcome of this function? Example: 2D Vortex Flow Let’s consider a simple 2D example: a decaying vortex in a viscous fluid. This is a classic solution to the Navier-Stokes equations in two dimensions.…
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