On the Dissolution—growth Process of a Grain:

DOI10.1080/00036819808840653zbMath0905.35100OpenAlexW2324267711WikidataQ58170579 ScholiaQ58170579MaRDI QIDQ3841687

Françoise Issard-Roch, Thomas I. Seidman

Publication date: 25 October 1998

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819808840653

zbMATH Keywords

growth ratesinterface kineticslarge time behaviorreaction-diffusion processaccretion processevolution in timedissolution processspherical grain

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Free boundary problems for PDEs (35R35) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

Cites Work

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• Well-posedness of a moving boundary problem arising in a dissolution-growth process
• Existence and Stability for Spherical Crystals Growing in a Supersaturated Solution
• Local existence and uniqueness of a stefan problem with surface tension
• Well-posedness of a dissolution-growth problem on an unbounded domain
• On a Dissolution-Growth Problem with Surface Tension in the Neighborhood of a Stationary Solution

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