Analysis of Non-Uniqueness in Navier-Stokes Equations
Published:Dec 22, 2025 21:07
•1 min read
•ArXiv
Analysis
This article discusses the mathematical properties of the Navier-Stokes equations, focusing on the issue of non-uniqueness of solutions. Understanding this property is crucial for accurately modelling fluid dynamics and predicting their behavior.
Key Takeaways
- •The paper investigates the mathematical challenges surrounding the Navier-Stokes equations.
- •It likely explores conditions under which solutions to these equations may not be unique.
- •Understanding non-uniqueness is critical for the long-term predictability of fluid behavior.
Reference
“The article's focus is on the Navier-Stokes equation: $\bu_t+(\bu\cdot\nabla)\bu=\mu\Delta{\bf u}$.”