Non-self-similar blow-up in the heat flow for harmonic maps in higher dimensions
Work
Year: 2014
Type: article
Abstract: We analyze the finite-time blow-up of solutions of the heat flow for $k$-corotational maps $\mathbb R^d\to S^d$. For each dimension $d>2+k(2+2\sqrt{2})$ we construct a countable family of blow-up solu... more
Source: Nonlinearity
Author Paweł Biernat
Institutions Jagiellonian University, Institute of Mathematics
Cites: 22
Cited by: 15
Related to: 10
FWCI: 3.153
Citation percentile (by year/subfield): 93.12
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green