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 for non local evolution equations. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 12(suppl. 1), 50-63 [10.2991/jnmp.2005.12.s1.5].
Tunnelling for non local evolution equations
BELLETTINI, GIOVANNI;
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.
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https://hdl.handle.net/11365/1017387