Mathematics – Analysis of PDEs
Scientific paper
2011-01-04
Nonlinearity 24 (2011) 2211-2228
Mathematics
Analysis of PDEs
24 pages, 8 figures, minor corrections, matches published version
Scientific paper
Using mixed analytical and numerical methods we investigate the development of singularities in the heat flow for corotational harmonic maps from the $d$-dimensional sphere to itself for $3\leq d\leq 6$. By gluing together shrinking and expanding asymptotically self-similar solutions we construct global weak solutions which are smooth everywhere except for a sequence of times $T_1
Biernat Paweł
Bizoń Piotr
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