English

Orthogonality conditions and asymptotic stability in the Stefan problem with surface tension

Analysis of PDEs 2015-05-27 v3 Mathematical Physics math.MP

Abstract

We prove nonlinear asymptotic stability of steady spheres in the two-phase Stefan problem with surface tension. Our method relies on the introduction of appropriate orthogonality conditions in conjunction with a high-order energy method.

Keywords

Cite

@article{arxiv.1101.5177,
  title  = {Orthogonality conditions and asymptotic stability in the Stefan problem with surface tension},
  author = {Mahir Hadzic},
  journal= {arXiv preprint arXiv:1101.5177},
  year   = {2015}
}

Comments

25 pages, important references added, two remarks added, typos corrected