Surface relaxation below the roughening temperature: Some recent progress and open questions

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We discuss two recent projects concerning the evolution of a crystal surface below the roughening temperature. One addresses the evolution of a monotone one-dimensional step train (joint work with Hala Al Hajj Shehadeh and Jonathan Weare). The other addresses the finite-time flattening predicted by a fourth-order PDE model (joint work with Yoshikazu Giga). For each project we begin with a discussion of the mathematical model; then we summarize the recent results, the main ideas behind them, and some related open problems.

Original languageEnglish (US)
Title of host publicationNonlinear Partial Differential Equations
Subtitle of host publicationThe Abel Symposium 2010
Pages207-221
Number of pages15
DOIs
StatePublished - 2012
EventAbel Symposium 2010: Nonlinear Partial Differential Equations - Oslo, Norway
Duration: Sep 28 2010Oct 2 2010

Publication series

NameNonlinear Partial Differential Equations: The Abel Symposium 2010

Other

OtherAbel Symposium 2010: Nonlinear Partial Differential Equations
CountryNorway
CityOslo
Period9/28/1010/2/10

ASJC Scopus subject areas

  • Geometry and Topology

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