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On weak solutions to the Stefan problem with Gibbs-Thomson correction.

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Publication:601650
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zbMath1212.35514MaRDI QIDQ601650

Piotr Bogusław Mucha

Publication date: 28 October 2010

Published in: Differential and Integral Equations (Search for Journal in Brave)


zbMATH Keywords

well posednessGibbs-Thomson correctionquasi-stationary Stefan problemSobolev-Slobodeckij class


Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Dynamics of phase boundaries in solids (74N20) Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35) Parabolic equations and parabolic systems (35K99)


Related Items (5)

A Lagrangian Approach for the Incompressible Navier-Stokes Equations with Variable Density ⋮ On the local solvability of the two-dimensional Hele-Shaw problem with fractional derivative with respect to time ⋮ The divergence equation in rough spaces ⋮ The rot-div system in exterior domains ⋮ A critical functional framework for the inhomogeneous Navier-Stokes equations in the half-space




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