Publications related to On stability of the catenoid under vanishing mean curvature flow on Minkowski space

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

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

Isogeometric Analysis of geometric partial differential equations

Alfio Quarteroni, Luca Dede', Andrea Bartezzaghi

We consider the numerical approximation of geometric Partial Differential Equations (PDEs) defined on surfaces in the 3D space. In particular, we focus on the geometric PDEs deriving from the minimization of an energy functional by L2L2-gradient flow. We a ...

Elsevier2016

Curvature-Controlled Defect Localization in Elastic Surface Crystals

Pedro Miguel Nunes Pereira de Almeida Reis

We investigate the influence of curvature and topology on crystalline dimpled patterns on the surface of generic elastic bilayers. Our numerical analysis predicts that the total number of defects created by adiabatic compression exhibits universal quadrati ...

American Physical Society2016

Degrafting of Poly(poly(ethylene glycol) methacrylate) Brushes from Planar and Spherical Silicon Substrates

Harm-Anton Klok, Nariye Cavusoglu Ataman

Densely grafted, hydrophilic polymer brushes produced via surface-initiated controlled radical polymerization have been shown to undergo degrafting upon exposure to aqueous media. This degrafting process has been proposed to involve swelling-induced, mecha ...

American Chemical Society2016

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

Joachim Krieger, Roland Donninger, Willie Wai Yeung Wong

We study time-like hypersurfaces with vanishing mean curvature in the (3+1) dimensional Minkowski space, which are the hyperbolic counterparts to minimal embeddings of Riemannian manifolds. The catenoid is a stationary solution of the associated Cauchy pro ...

Duke Univ Press2015

Hybrid guiding-centre/full-orbit simulations in non-axisymmetric magnetic geometry exploiting general criterion for guiding-centre accuracy

Jonathan Graves, Wilfred Anthony Cooper, David Pfefferlé

To identify under what conditions guiding-centre or full-orbit tracing should be used, an estimation of the spatial variation of the magnetic field is proposed, not only taking into account gradient and curvature terms but also parallel currents and the lo ...

Iop Publishing Ltd2015

Elastocapillary coalescence of plates and pillars

Tobias Schneider, Ji Hyun Kim

When a fluid-immersed array of supported plates or pillars is dried, evaporation leads to the formation of menisci on the tips of the plates or pillars that bring them together to form complex patterns. Building on prior experimental observations, we use a ...

Royal Soc2015

Sharp estimates on the first eigenvalue of the p-Laplacian with negative Ricci lower bound

Daniele Valtorta

We complete the picture of sharp eigenvalue estimates for the -Laplacian on a compact manifold by providing sharp estimates on the first nonzero eigenvalue of the nonlinear operator when the Ricci curvature is bounded from below by a negative constant. We ...

Springer Verlag2014

Reverse Biasing and Breakdown Behavior of PureB Diodes

Edoardo Charbon, Mahdi Aminian, Lin Qi

In PureB technology, a layer of pure boron is deposited on Si using a commercial single-wafer Si/SiGe epitaxial CVD reactor, forming ideal nm-deep ultrashallow junctions with low saturation currents [1]. As another attractive feature, the PureB layer itsel ...

2013

Curvature effects on valley splitting and degeneracy lifting: Case of Si/Ge rolled-up nanotubes

Giovanni Pizzi

We numerically investigate electronic states, degeneracy lifting, and valley splitting in the conduction band of rolled-up Si/Ge nanotubes. Results are derived from a tight-binding model where the input equilibrium positions of the atoms are obtained by me ...

2012

On stability of the catenoid under vanishing mean curvature flow on Minkowski space

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

Isogeometric Analysis of geometric partial differential equations

Curvature-Controlled Defect Localization in Elastic Surface Crystals

Degrafting of Poly(poly(ethylene glycol) methacrylate) Brushes from Planar and Spherical Silicon Substrates

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

Hybrid guiding-centre/full-orbit simulations in non-axisymmetric magnetic geometry exploiting general criterion for guiding-centre accuracy

Elastocapillary coalescence of plates and pillars

Sharp estimates on the first eigenvalue of the p-Laplacian with negative Ricci lower bound

Reverse Biasing and Breakdown Behavior of PureB Diodes

Curvature effects on valley splitting and degeneracy lifting: Case of Si/Ge rolled-up nanotubes

Isogeometric Analysis of geometric partial differential equations

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

Elastocapillary coalescence of plates and pillars

Hybrid guiding-centre/full-orbit simulations in non-axisymmetric magnetic geometry exploiting general criterion for guiding-centre accuracy

Curvature-Controlled Defect Localization in Elastic Surface Crystals

Degrafting of Poly(poly(ethylene glycol) methacrylate) Brushes from Planar and Spherical Silicon Substrates

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

Curvature effects on valley splitting and degeneracy lifting: Case of Si/Ge rolled-up nanotubes

Sharp estimates on the first eigenvalue of the p-Laplacian with negative Ricci lower bound

Reverse Biasing and Breakdown Behavior of PureB Diodes