Well-posedness of free boundary problem for the microscopic in-situ leaching model

DOI10.1007/S10958-022-05759-2zbMath1492.74026OpenAlexW4221040835MaRDI QIDQ2122519

Anvarbek M. Meirmanov

Publication date: 6 April 2022

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-022-05759-2

zbMATH Keywords

existenceinitial-boundary value problemuniquenessdiffusion-convection equationStokes equationsLamé equationsacid concentration

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Stokes and related (Oseen, etc.) flows (76D07) PDEs in connection with mechanics of deformable solids (35Q74) Chemical structure in solid mechanics (74E40)

Cites Work

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• Non-homogeneous media and vibration theory
• The Stefan problem. Translated from the Russian by Marek Niezgódka and Anna Crowley
• A multiscale analysis of nutrient transport and biological tissue growthin vitro
• Poroelasticity equations derived from microstructure

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