Concept

Curve-shortening flow

Related publications (18)

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A vector field method on the distorted Fourier side and decay for wave equations with potentials

Joachim Krieger, Roland Donninger

We study the Cauchy problem for the one-dimensional wave equation

\partial_t^2 u(t,x)-\partial_x^2 u(t,x)+V(x)u(t,x)=0.

The potential

V

is assumed to be smooth with asymptotic behavior

V(x)\sim -\tfrac14 |x|^{-2}\mbox{ as } |x|\to \infty.

...

2016

Curve-shortening flow

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The Allen-Cahn equation with generic initial datum

Directed mean curvature flow in noisy environment

Effects of aquifer geometry on seawater intrusion in annulus segment island aquifers

Robustness via curvature regularization, and vice versa

Robustness via curvature regularization, and vice versa

Monotonicity Types

A vector field method on the distorted Fourier side and decay for wave equations with potentials

Isogeometric Analysis of geometric partial differential equations

Codimension one stability of the catenoid under the vanishing mean curvature flow in Minkowski space

Solvability analysis and numerical approximation of linearized cardiac electromechanics

Effects of aquifer geometry on seawater intrusion in annulus segment island aquifers

Robustness via curvature regularization, and vice versa

The Allen-Cahn equation with generic initial datum

Directed mean curvature flow in noisy environment

A vector field method on the distorted Fourier side and decay for wave equations with potentials

Solvability analysis and numerical approximation of linearized cardiac electromechanics

Robustness via curvature regularization, and vice versa

Monotonicity Types

Isogeometric Analysis of geometric partial differential equations

Codimension one stability of the catenoid under the vanishing mean curvature flow in Minkowski space