نتایج جستجو برای: stable minimal solution

تعداد نتایج: 843684  

Journal: :Journal für die reine und angewandte Mathematik (Crelles Journal) 2020

Journal: :Proceedings of the Japan Academy, Series A, Mathematical Sciences 2011

Journal: :Mathematische Zeitschrift 2022

The Gauss map g of a surface $$\Sigma $$ in $${\mathbb {R}}^4$$ takes its values the Grassmannian oriented 2-planes : $$G^+(2,4) . We give geometric criteria stability for minimal surfaces terms g. show particular that if area |g(\Sigma ) | is smaller than 2\pi then stable by deformations which fix boundary surface. This answers question Barbosa and Do Carmo (Math Z 173:13–28, 1980)

2011
Michael Anton Högele Christoph Markschies Peter Frensch Peter Imkeller Ilya Pavlyukevich Jerzy Zabczyk

If equator-to-pole energy transfer by heat diffusion is taken into account, Energy Balance Models turn into reaction-diffusion equations, whose prototype is the (deterministic) Chafee-Infante equation. Its solution has two stable states and several unstable ones on the separating manifold (separatrix) of the stable domains of attraction. We show, that on appropriately reduced domains of attract...

Journal: :Nano letters 2010
Yongmin Liu Thomas Zentgraf Guy Bartal Xiang Zhang

We propose and demonstrate efficiently molding surface plasmon polaritons (SPPs) based on transformation optics. SPPs are surface modes of electromagnetic waves tightly bound at metal-dielectric interfaces, which allow us to scale optics beyond the diffraction limit. Taking advantage of transformation optics, here we show that the propagation of SPPs can be manipulated in a prescribed manner by...

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