• Refine Query
  • Source
  • Publication year
  • to
  • Language
  • No language data
  • Tagged with
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • 1
  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

LONG TIME BEHAVIOR OF SURFACE DIFFUSION OFANISOTROPIC SURFACE ENERGY

Hanan Ussif Gadi (17592987) 09 December 2023 (has links)
<p dir="ltr">We investigate the surface diffusion flow of smooth curves with anisotropic surface energy.</p><p dir="ltr">This geometric flow is the H−1-gradient flow of an energy functional. It preserves the area</p><p dir="ltr">enclosed by the evolving curve while at the same time decreases its energy. We show the</p><p dir="ltr">existence of a unique local in time solution for the flow but also the existence of a global in</p><p dir="ltr">time solution if the initial curve is close to the Wulff shape. In addition, we prove that the</p><p dir="ltr">global solution converges to the Wulff shape as t → ∞. In the current setting, the anisotropy</p><p dir="ltr">is not too strong so that the Wulff shape is given by a smooth curve. In the last section, we</p><p dir="ltr">formulate the corresponding problem when the Wulff shape exhibits corners.</p>

Page generated in 0.0838 seconds