Can I read Finite-Time Singularity in Active Scalars on EtoBox?
Finite-Time Singularity in Active Scalars by chenyaoyu50 is a document available to read on EtoBox.
What is Finite-Time Singularity in Active Scalars about?
The paper investigates finite-time singularity formation in an active scalar equation related to the 3D Euler equations, demonstrating that compactly supported Lipschitz solutions can become singular without spatial boundaries. The authors establish local well-posedness and a blow-up criterion, leading to the construction of solutions that exhibit singular behavior in finite time. This work highlights the importance of parity in the relationship between the vorticity and velocity fields in fluid dynamics.
- Author
- chenyaoyu50
- Language
- EN