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

@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 -