Winding behaviour of finite-time singularities of the harmonic map heat flow*

By P. Topping. 2004

59 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/9f97fa6934ce24798df7d8c6423e8c6f7433d0e6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Yuxiang Li
2. Younde Wang
3. Miaomiao Zhu
4. Y. Yang
5. G. Lu
6. Nguyen Huong Lam
7. Ernst Kuwert

In Computational Theory and Mathematics

1. Yuxiang Li
2. Younde Wang
3. Miaomiao Zhu
4. Y. Yang
5. G. Lu
6. Nguyen Huong Lam

In Geometry and Topology

1. Yuxiang Li
2. Younde Wang
3. Miaomiao Zhu
4. Ernst Kuwert

Citations in the corpus

• Harmonic maps from degenerating Riemann surfaces (2008, methodology): “Based on the observations made by Qing [25] and Topping [33], one expects a complete understanding of the asymptotic behaviour of the necks appearing near the finite time singularity of the harmonic map flow.”
• A weak energy identity and the length of necks for a sequence of Sacks–Uhlenbeck α-harmonic maps☆ (2010, background): “It is worthy to point out that Topping [T] provided a surprising example of heat flow blowing up at finite time such that the weak limit is not continuous.”