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Determination of a diffusion coefficient in a quasilinear parabolic equation

100%

Kanca F.

Open Mathematics

2017

tom 15

nr 1

77-91

This paper investigates the inverse problem of finding the time-dependent diffusion coefficient in a quasilinear parabolic equation with the nonlocal boundary and integral overdetermination conditions. Under some natural regularity and consistency conditions on the input data the existence, uniqueness and continuously dependence upon the data of the solution are shown. Finally, some numerical experiments are presented.

The area preserving curve shortening flow with Neumann free boundary conditions

64%

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 Kanca F.

1 Mäder-Baumdicker E.

1 2017

1 2015

Wyniki wyszukiwania

Determination of a diffusion coefficient in a quasilinear parabolic equation

The area preserving curve shortening flow with Neumann free boundary conditions