6533b7d2fe1ef96bd125dfb9

RESEARCH PRODUCT

Computational stability of an initially radial solution of a growth/dissolution problem in a nonradial implementation

Thomas I. SeidmanPekka NeittaanmäkiS. JensenErkki Laitinen

subject

CrystalMathematical optimizationComputational stabilityChemistryMathematical analysisSymmetric solutionFree boundary problemCrystal growthBoundary value problemDissolution

description

We consider a free boundary problem modelling the growth/dissolution of a crystal. The aim is to investigate the following question: Does the solution to the crystal growth problem posed in two dimensions with radially symmetric initial and boundary condition evolve as a radially symmetric solution?

https://doi.org/10.1007/978-3-0348-5715-4_16