Title:

Spherically symmetric solutions to a model for interface motion by interface diffusion (English) 
Author:

Zhu, Peicheng 
Language:

English 
Journal:

Applications of Mathematics 2013 
Volume:

Proceedings. Prague, May 1517, 2013 
Issue:

2013 
Year:


Pages:

240247 
. 
Category:

math 
. 
Summary:

The existence of spherically symmetric solutions is proved for a new phasefield 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 ellipticparabolic coupled system which consists of a linear elasticity system and a nonlinear evolution equation of the order parameter. The nonlinear equation is nonuniformly parabolic and is of fourth order. One typical application is sintering. (English) 
Keyword:

quasistatic process 
Keyword:

initialboundary value problem 
Keyword:

a priori estimate 
Keyword:

Egorov theorem 
Keyword:

spherically symmetric solution 
MSC:

35B07 
MSC:

35K41 
MSC:

35K46 
MSC:

35M33 
MSC:

35Q74 
MSC:

74N15 
MSC:

80A22 
MSC:

82C24 
MSC:

82C26 
idZBL:

Zbl 1340.35114 
idMR:

MR3204448 
. 
Date available:

20170214T09:20:04Z 
Last updated:

20170320 
Stable URL:

http://hdl.handle.net/10338.dmlcz/702951 
. 