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Exact Neumann boundary controllability for second order hyperbolic equations

100%

Liu W., Williams G. H.

Colloquium Mathematicum

1998

tom 76

nr 1

117-142

Using HUM, we study the problem of exact controllability with Neumann boundary conditions for second order hyperbolic equations. We prove that these systems are exactly controllable for all initial states in $L^2({\mit\Omega})\times (H^1({\mit\Omega}))'$ and we derive estimates for the control time T.

The area preserving curve shortening flow with Neumann free boundary conditions

75%

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 Colloquium Mathematicum

1 Geometric Flows

1 Liu W.

1 Mäder-Baumdicker E.

1 Williams G. H.

1 2015

1 1998

Wyniki wyszukiwania

Exact Neumann boundary controllability for second order hyperbolic equations

The area preserving curve shortening flow with Neumann free boundary conditions