| Abstract: |
| Wave maps are wave equations with Riemannian targets. In certain situations, energy can concentrate at a point in space-time, resulting in a bubbling phenomena in which the flow weakly converges at that point and time to a harmonic map.
We give an example, based on an analogous one for harmonic map heat flow by Topping, of a wave map which bubbles at the origin and infinite time, but for which the bubble is non-unique (i.e. different bubbles appear as weak limits along different sequences of times). The key point is that the target manifold is non-analytic. This is joint work, in progress, with Dana Mendelson (U Chicago). |
|