On the stability of some solutions of the Stefan problem

DOI10.1017/S095679250000036XzbMath0753.35130OpenAlexW2054138759MaRDI QIDQ3970926

Weiqing Xie, Riccardo Ricci

Publication date: 25 June 1992

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s095679250000036x

zbMATH Keywords

similarity solutionstravelling wave solutionsundercooled liquidstability analysis of the large time behaviour

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Free boundary problems for PDEs (35R35)

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An elliptic-parabolic problem in combustion theory: Convergence to travelling waves, Stability of travelling waves in a multidimensional free boundary problem

Cites Work

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• Weighted norms for the stability of traveling waves
• A critical case for the solvability of stefan-like problems
• The Stabilizing Effect of Surface Tension on the Development of the Free Boundary in a Planar, One-dimensional, Cauchy-Stefan Problem
• The Formation of the Dead Core in Parabolic Reaction-Diffusion Problems
• On a Problem in the Polymer Industry: Theoretical and Numerical Investigation of Swelling