We develop a generalization of the theory of varifolds and use it in the asymptotic study of a sequence of Ginzburg-Landau systems. These equations are reaction-diffusion type, nonlinear partial differential equations, and the main object of our study is the renormalized energy related to these systems. Under suitable density assumptions, we show convergence to a Brakke flow by mean curvature. The proof is based on a suitable generalization of the theory of varifolds and on the analysis of the gradient Young measures associated to the solutions of the system.
|Original language||English (US)|
|Number of pages||23|
|Journal||Annali della Scuola Normale Superiore di Pisa - Classe di Scienze|
|State||Published - 1997|
All Science Journal Classification (ASJC) codes
- Theoretical Computer Science
- Mathematics (miscellaneous)