A Stefan problem on an evolving surface

DOI10.1098/rsta.2014.0279zbMath1353.35317arXiv1412.5534OpenAlexW1682415984WikidataQ41884171 ScholiaQ41884171MaRDI QIDQ2955794

Charles M. Elliott, Amal Alphonse

Publication date: 13 January 2017

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.5534

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Free boundary problems for PDEs (35R35) Weak solutions to PDEs (35D30)

Related Items (9)

Well-posedness of a fractional porous medium equation on an evolving surface ⋮ An immersed finite element method for elliptic interface problems on surfaces ⋮ Function spaces, time derivatives and compactness for evolving families of Banach spaces with applications to PDEs ⋮ Error estimate for classical solutions to the heat equation in a moving thin domain and its limit equation ⋮ An evolving space framework for Oseen equations on a moving domain ⋮ A Coupled Ligand-Receptor Bulk-Surface System on a Moving Domain: Well Posedness, Regularity, and Convergence to Equilibrium ⋮ A generalization of the Aubin-Lions-Simon compactness lemma for problems on moving domains ⋮ Moving boundary problems ⋮ Relative entropy and a weak-strong uniqueness principle for the compressible Navier-Stokes equations on moving domains

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