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An existence result for an interior electromagnetic casting problem

100%

Barkatou M., Seck D., Ly I.

Open Mathematics

2006

tom 4

nr 4

573-584

This paper deals with an interior electromagnetic casting (free boundary) problem. We begin by showing that the associated shape optimization problem has a solution which is of class C 2. Then, using the shape derivative and the maximum principle, we give a sufficient condition that the minimum obtained solves our problem.

The area preserving curve shortening flow with Neumann free boundary conditions

100%

Mäder-Baumdicker E.

Geometric Flows

2015

tom 1

nr 1

We study the area preserving curve shortening flow with Neumann free boundary conditions outside of a convex domain in the Euclidean plane. Under certain conditions on the initial curve the flow does not develop any singularity, and it subconverges smoothly to an arc of a circle sitting outside of the given fixed domain and enclosing the same area as the initial curve.

Ograniczanie wyników

1 Geometric Flows

1 Open Mathematics

1 Barkatou M.

1 Ly I.

1 Mäder-Baumdicker E.

1 Seck D.

1 2015

1 2006

Wyniki wyszukiwania

An existence result for an interior electromagnetic casting problem

The area preserving curve shortening flow with Neumann free boundary conditions