https://neckpinch.com/authors/andrea-chiesa/New arXiv papers by Andrea Chiesa, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2505.23222/arxiv:2505.23222Thu, 29 May 2025 00:00:00 GMTAndrea Chiesa, Keisuke Takasao — In this paper, we propose a new notion of Brakke inequality for volume preserving mean curvature flow. We show the existence of integral varifolds solving the flow globally-in-time in the corresponding Brakke sense using the phase field method. Moreover, such varifolds are solutions to volume preserving mean curvature flow in the L²-flow sense as well. We thus extend a previous result by one of the authors [25].Mean curvature flowVolume-preserving & constrained flowsWeak & singular flowsPhase fields & multiphase flows https://neckpinch.com/papers/2503.20524/arxiv:2503.20524Wed, 26 Mar 2025 00:00:00 GMTAndrea Chiesa, Karel Svadlenka — We extend the analysis by Esedoglu and Otto (2015) of thresholding energies for the celebrated multiphase Bence-Merriman-Osher algorithm for computing mean curvature flow of interfacial networks, to the case of differing space-dependent anisotropies. In particular, we address the special setting of an obstacle problem, where anisotropic particles move on an inhomogeneous substrate. By suitable modification of the surface energies we construct an approximate energy that uses a single convolution kernel and is monotone with respect to the convolution width. This allows us to prove that the approximate energies Γ-converge to their sharp interface counterpart.Mean curvature flowAnisotropic & nonlocal flowsHomogeneous spacesPhase fields & multiphase flows