Research profile

Brian Krummel

Works on minimal & CMC surfaces, free boundary & capillary and weak & singular flows.

NP-RC-6541180000-0002-4483-2242

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Minimal & CMC surfacesFree boundary & capillaryWeak & singular flowsBoundaries & non-compactMean curvature flow

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Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.

2016

math.DGWider flowsarXiv:1609.08036

Regularity of minimal submanifolds and mean curvature flows with a common free boundary

Brian Krummel

Let be a smooth -dimensional Riemannian manifold. We show that if is an area-stationary union of three or more -dimensional submanifolds-with-boundary with a common boundary , then is smooth and each is smooth up to (real-analytic in the case is real-analytic). This extends a previous result of the author for codimension . We additionally show that if is a Brakke flow such that each time-slice is a union of three or more -dimensional submanifolds-with-boundary with a common boundary and with parabolic regularity in time-space, then and are smooth (second Gevrey with real-analytic time-slices in the case is real-analytic).

Mean curvature flowWeak & singular flowsBoundaries & non-compactFree boundary & capillaryMinimal & CMC surfaces
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NP-RC-654118 is Brian Krummel's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.

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