We have found stable singularity on 3D Euler (twitter.com)

Researchers have successfully identified a stable singularity in the 3D Euler equations using a novel approach that incorporates physics-informed neural networks (PINNs). Traditionally, PINNs have struggled with such complex problems, often converging to trivial solutions. However, the team addressed these challenges by guiding the neural network towards significant regions of the solution space using specific constraints, marking a significant advancement in the use of AI for solving hard optimization problems in fluid dynamics. This breakthrough is noteworthy for the AI/ML community because it demonstrates the potential of integrating physical laws with AI methodologies, moving beyond traditional large language models (LLMs) that lack such grounding. The researchers also conducted an in-depth analysis of the transport field, revealing properties of local outgoing flow crucial for proving linear damping—an essential factor in establishing overall stability. Their work highlights the critical intersection between AI techniques and physical systems, suggesting a promising direction for future research in both fields.