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A variational principle for nonpotential perturbations of gradient flows of nonconvex energies | | Stefano Melchionna
; | | Date: |
3 May 2016 | | Abstract: | We investigate a variational approach to nonpotential perturbations of
gradient flows of nonconvex energies in Hilbert spaces. We prove existence of
solutions to elliptic-in-time regularizations of gradient flows by combining
the minimization of a parameter-dependent functional over entire trajectories
and a fixed-point argument. These regularized solutions converge up to
subsequence to solutions of the gradient flow as the regularization parameter
goes to zero. Applications of the abstract theory to nonlinear
reaction-diffusion systems are presented. | | Source: | arXiv, 1605.0801 | | Services: | Forum | Review | PDF | Favorites | |
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