Discovering new solutions to century-old problems in fluid dynamics
a day ago
- #AI-mathematics
- #fluid-dynamics
- #singularities
- New method leverages AI to tackle long-standing challenges in fluid dynamics.
- Introduction of a new family of mathematical blow ups in complex fluid motion equations.
- Collaboration with mathematicians and geophysicists from Brown University, NYU, and Stanford.
- Focus on unstable singularities to understand fundamental limitations in fluid dynamics equations.
- First systematic discovery of new families of unstable singularities using AI techniques.
- Use of Physics-Informed Neural Networks (PINNs) to achieve unprecedented accuracy.
- Potential to usher in a new era of computer-assisted mathematics and AI-driven proofs.