Spherically symmetric solutions to a model for interface motion by interface diffusion

Zhu, Peicheng

  • Applications of Mathematics 2013, Publisher: Institute of Mathematics AS CR(Prague), page 240-247

Abstract

top
The existence of spherically symmetric solutions is proved for a new phase-field model that describes the motion of an interface in an elastically deformable solid, here the motion is driven by configurational forces. The model is an elliptic-parabolic coupled system which consists of a linear elasticity system and a non-linear evolution equation of the order parameter. The non-linear equation is non-uniformly parabolic and is of fourth order. One typical application is sintering.

How to cite

top

Zhu, Peicheng. "Spherically symmetric solutions to a model for interface motion by interface diffusion." Applications of Mathematics 2013. Prague: Institute of Mathematics AS CR, 2013. 240-247. <http://eudml.org/doc/287795>.

@inProceedings{Zhu2013,
abstract = {The existence of spherically symmetric solutions is proved for a new phase-field model that describes the motion of an interface in an elastically deformable solid, here the motion is driven by configurational forces. The model is an elliptic-parabolic coupled system which consists of a linear elasticity system and a non-linear evolution equation of the order parameter. The non-linear equation is non-uniformly parabolic and is of fourth order. One typical application is sintering.},
author = {Zhu, Peicheng},
booktitle = {Applications of Mathematics 2013},
keywords = {quasi-static process; initial-boundary value problem; a priori estimate; Egorov theorem; spherically symmetric solution},
location = {Prague},
pages = {240-247},
publisher = {Institute of Mathematics AS CR},
title = {Spherically symmetric solutions to a model for interface motion by interface diffusion},
url = {http://eudml.org/doc/287795},
year = {2013},
}

TY - CLSWK
AU - Zhu, Peicheng
TI - Spherically symmetric solutions to a model for interface motion by interface diffusion
T2 - Applications of Mathematics 2013
PY - 2013
CY - Prague
PB - Institute of Mathematics AS CR
SP - 240
EP - 247
AB - The existence of spherically symmetric solutions is proved for a new phase-field model that describes the motion of an interface in an elastically deformable solid, here the motion is driven by configurational forces. The model is an elliptic-parabolic coupled system which consists of a linear elasticity system and a non-linear evolution equation of the order parameter. The non-linear equation is non-uniformly parabolic and is of fourth order. One typical application is sintering.
KW - quasi-static process; initial-boundary value problem; a priori estimate; Egorov theorem; spherically symmetric solution
UR - http://eudml.org/doc/287795
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.