We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Reverse bubbling of currents and harmonic heat flows with prescribed singular set.
- Authors
Adriano Pisante
- Abstract
We consider the harmonic heat flow for maps u between B 3, the unit ball of $\mathbb{R}^3$ , and its boundary S 2. For a class of possibly singular initial and boundary data we show the existence of a weak solution whose singular set is a fixed discrete set on the vertical axis arbitrarily prescribed. Other examples including isolated singularities moving along a prescribed trajectory are given.
- Subjects
HEAT transfer; HEAT equation; CURRENTS (Calculus of variations); SINGULAR integrals
- Publication
Calculus of Variations & Partial Differential Equations, 2004, Vol 19, Issue 4, p337
- ISSN
0944-2669
- Publication type
Article
- DOI
10.1007/s00526-003-0213-1