Talk page
Title:
Mass concentration phenomena for the long-wave unstable thin-film equation
Speaker:
Abstract:
We study finite speed of support propagation and finite-time blow-up of non-negative solutions for the long-wave unstable thin-film equation. We consider a large range of exponents (n,m) within the super-critical m>n+2 and critical m+2 regimes. For the initial data with negative energy we prove that the solution that blows up in finite time satisfies mass concentration phenomena near the blow-up time.
Joint work with:
Mary Pugh, Roman Taranets
Link:
Workshop: