Multiscale analysis of singularly perturbed finite dimensional gradient flows: the minimizing movement approach


Multiscale analysis of singularly perturbed finite dimensional gradient flows: the minimizing movement approach is a scholarly work, published in 2018 in ''Nonlinearity''. The main subjects of the publication include Fractional Laplacian, transportation theory, and multiscale modeling. The authors perform a convergence analysis of a discrete-in-time minimization scheme\napproximating a finite dimensional singularly perturbed gradient flow.