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.

EUDML-ID : urn:eudml:doc:287795
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Mots clés:

@article{702951,
     title = {Spherically symmetric solutions to a model for interface motion by interface diffusion},
     booktitle = {Applications of Mathematics 2013},
     series = {GDML\_Books},
     publisher = {Institute of Mathematics AS CR},
     address = {Prague},
     year = {2013},
     pages = {240-247},
     mrnumber = {MR3204448},
     zbl = {1340.35114},
     url = {http://dml.mathdoc.fr/item/702951}
}

Zhu, Peicheng. Spherically symmetric solutions to a model for interface motion by interface diffusion, dans Applications of Mathematics 2013, GDML_Books,  (2013), pp. 240-247. http://gdmltest.u-ga.fr/item/702951/