Unstable-Singularity-Detector
Open-source re-implementation of DeepMind's unstable singularity detection methods using PINNs for blow-up solutions in fluid dynamics
About This Work
Based on the paper "Discovering new solutions to century-old problems in fluid dynamics" (blog post), this repository provides an open-source implementation of Physics-Informed Neural Networks (PINNs) for detecting unstable blow-up solutions in fluid dynamics.
Repository Overview
Based on the paper "Discovering new solutions to century-old problems in fluid dynamics" (blog post), this repository provides an open-source implementation of Physics-Informed Neural Networks (PINNs) for detecting unstable blow-up solutions in fluid dynamics.
README Core
Independent re-implementation of unstable singularity detection methods inspired by DeepMind research
Based on the paper "Discovering new solutions to century-old problems in fluid dynamics" (blog post), this repository provides an open-source implementation of Physics-Informed Neural Networks (PINNs) for detecting unstable blow-up solutions in fluid dynamics.
Clear overview of what has been implemented from the DeepMind paper:
Use & Documentation
Detailed installation, commands, examples, and deeper usage notes live in the repository README and docs.
README Map
- ⚠️ Important Disclaimers
- 📊 Implementation Status
- ✨ Key Features
- Core Capabilities
- Recent Enhancements (October 2025)
- 🚀 Quick Start
Key Signals
- Independent Implementation : This is an independent research project , not affiliated with, endorsed by, or in collaboration with DeepMind
- Validation Method : Results are validated against published empirical formulas, not direct numerical comparison with DeepMind's unpublished experiments
- Limitations : See Implementation Status and Limitations for detailed scope and restrictions
- Reproducibility : See REPRODUCTION.md for detailed methodology, benchmarks, and reproducibility guidelines
- ✅ Complete & Tested : Implemented and validated with unit tests
Announcements
synced Mar 13, 2026