Global Stability and Decay for the Classical Stefan Problem
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Publication:5247408
DOI10.1002/cpa.21522zbMath1335.35308arXiv1212.1422OpenAlexW2080230922MaRDI QIDQ5247408
Publication date: 24 April 2015
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1212.1422
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Riemann‐Hilbert Problems for the Shapes Formed by Bodies Dissolving, Melting, and Eroding in Fluid Flows ⋮ Global stability of steady states in the classical Stefan problem for general boundary shapes ⋮ Functional inequalities and strong Lyapunov functionals for free surface flows in fluid dynamics ⋮ Local Well-Posedness and Global Stability of the Two-Phase Stefan Problem ⋮ Well-posedness of the water-wave with viscosity problem ⋮ Well-posedness for the classical Stefan problem and the zero surface tension limit ⋮ Instability of free interfaces in premixed flame propagation ⋮ On melting and freezing for the 2D radial Stefan problem ⋮ Some free boundary problems recast as nonlocal parabolic equations ⋮ Convexity and the Hele-Shaw equation ⋮ On the Reformulation of the Classical Stefan Problem as a Shape Optimization Problem
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