A free boundary problem for binary fluids

DOI10.4171/IFB/462zbMath1483.35345arXiv2005.05200OpenAlexW3213364200MaRDI QIDQ2077423

Francesco Deangelis, Michiel Bertsch, Roberto Benzi

Publication date: 21 February 2022

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.05200

zbMATH Keywords

interfacedegenerate parabolic equationasymptotic formula for the free boundary velocity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Free boundary problems for PDEs (35R35) Quasilinear parabolic equations (35K59)

Cites Work

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• Degenerate parabolic equations
• Nonuniqueness of solutions of a degenerate parabolic equation
• A degenerate parabolic equation modelling the spread of an epidemic
• Discontinuous "Viscosity" Solutions of a Degenerate Parabolic Equation
• Positivity properties of viscosity solutions of a degenerate parabolic equation

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