most citedOn the area-preserving Willmore flow of small bubbles sliding on a domain's boundary

2 citations · 2 across the 5 of their papers we have counts for

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5 papers

math.DG2023

Axially Symmetric Willmore Minimizers with Prescribed Isoperimetric Ratio

Jan-Henrik Metsch

We establish the existence and smoothness of minimizers of the Willmore energy among axially symmetric surfaces of spherical type with prescribed isoperimetric ratio. Afterwards, w…

math.AP2023

Parabolic and Elliptic Schauder Theory on Manifolds for a Fourth-Order Problem with a First- and a Third-Order Boundary Condition

Jan-Henrik Metsch

These notes provide a self-contained introduction to Schauder theory on manifolds. First, we derive Schauder estimates for a fourth-order parabolic linear problem with a first- and…

math.DG2023

On the Conditional Existence of Foliations by CMC and Willmore Type Half-Spheres

Jan-Henrik Metsch

We study half-spheres with small radii sitting on the boundary of a smooth bounded domain while meeting it orthogonally. Even though it is known that there exist families of CMC an…

math.AP2022★ 2 cited

On the area-preserving Willmore flow of small bubbles sliding on a domain's boundary

Jan-Henrik Metsch

We consider the area-preserving Willmore evolution of surfaces that are close to a half-sphere with a small radius, sliding on the boundary S of a domain while meeting it orthogona…

eess.SY2022

Accelerating Extremum Seeking Convergence by Richardson Extrapolation Methods

Jan-Henrik Metsch, Jonathan Neuhauser, Jerome Jouffroy +2

In this paper, we propose the concept of accelerated convergence that has originally been developed to speed up the convergence of numerical methods for extremum seeking (ES) loops…