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Directed mean curvature flow in noisy environment

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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

Directed mean curvature flow in noisy environment

Graph Chatbot

Chattez avec Graph Search

The Allen-Cahn equation with generic initial datum

An Accelerated First-Order Method for Non-convex Optimization on Manifolds

Robustness via curvature regularization, and vice versa

A Gauss-Bonnet Theorem for Asymptotically Conical Manifolds and Manifolds with Conical Singularities

Robustness via curvature regularization, and vice versa

Out-of-plane instability of thin reinforced concrete walls under seismic loading

Gaussian Curvature as an Identifier of Shell Rigidity

Axially equilibrated displacement-based beam element for simulating the cyclic inelastic behaviour of RC members

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

Isogeometric Analysis of geometric partial differential equations

An Accelerated First-Order Method for Non-convex Optimization on Manifolds

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

Robustness via curvature regularization, and vice versa

Isogeometric Analysis of geometric partial differential equations

The Allen-Cahn equation with generic initial datum

A Gauss-Bonnet Theorem for Asymptotically Conical Manifolds and Manifolds with Conical Singularities

Out-of-plane instability of thin reinforced concrete walls under seismic loading

Robustness via curvature regularization, and vice versa

Gaussian Curvature as an Identifier of Shell Rigidity

Axially equilibrated displacement-based beam element for simulating the cyclic inelastic behaviour of RC members