We study "tunnelling" in a one-dimensional, nonlocal evolution equation by assigning a penalty functional to orbits which deviate from solutions of the evolution equation. We discuss the variational problem of computing the minimal penalty for orbits which connect two stable, stationary solutions.
Bellettini, G., De Masi, A., Presutti, E. (2005). Tunnelling in nonlocal evolution equations. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 12(SUPPL. 1), 50-63 [10.2991/jnmp.2005.12.s1.5].
Tunnelling in nonlocal evolution equations
BELLETTINI, GIOVANNI;PRESUTTI, ERRICO
2005-01-01
Abstract
We study "tunnelling" in a one-dimensional, nonlocal evolution equation by assigning a penalty functional to orbits which deviate from solutions of the evolution equation. We discuss the variational problem of computing the minimal penalty for orbits which connect two stable, stationary solutions.File in questo prodotto:
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