Description

• Title:
  Weak solutions to 3-D Cahn-Hilliard system in elastic solids
• Creator:
  Pawłow, Irena;
  Zajączkowski, Wojciech M.
• Description:
  In this paper we prove the existence and some time regularity of weak solutions to a three-dimensional (3-D) Cahn-Hilliard system coupled with nonstationary elasticity. Such nonlinear parabolic-hyperbolic system arises as a model of phase separation in deformable alloys. The regularity result is based on the analysis of time differentiated problem by means of the Faedo-Galerkin method. The obtained regularity provides a first step to the proof of strong solvability of the problem to be presented in a forthcoming paper [I. Pawłow, W. M. Zajączkowski, < i> Strong solvability of 3-D Cahn-Hilliard system in elastic solids< /i> , Math. Methods Appl. Sci.].
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2008.12.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 32, No 2 (December 2008); 347 - 377;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2008.052/8800
• Subject:
  Cahn-Hilliard;
  nonstationary elasticity;
  phase separation;
  weak solutions;
  35K50;
  35K60;
  35L20;
  35Q72
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2008.052
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other