Well-posedness of a Dissolution-growth problem on an unbounded domain erratum

Abstract

We consider a spherical grain which may be growing by accretion or dissolving in a dilute solution of the same substance where one also has reaction and diffusion; the resulting free boundary problem was shown to be well-posed. The paper as originally printed was inadvertently truncated and this Erratum consists of Section 4 (on additional regularity) and the Bibliography.

Keywords:

• Stefan problem with surface tension
• unbounded domain
• free boundary problem
• radial geometry
• system
• parabolic
• partial differential equation
• reactioddiffusion
• well-posedness
• regularity

AMS:

• 35R35
• 35K35
• 35K57