Existence and Uniqueness of a Global Solution for Reactive Transport with Mineral Precipitation-Dissolution and Aquatic Reactions in Porous Media

DOI10.1137/16M1109266zbMath1408.35193OpenAlexW2768427203MaRDI QIDQ4596069

Peter Knabner, Joachim Hoffmann, Serge Kräutle

Publication date: 8 December 2017

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1109266

zbMATH Keywords

complementarity problemslaw of mass actionexistence of global solutionkinetic mineral precipitation-dissolutionreactive transport in porous media

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05) Reaction effects in flows (76V05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with geophysics (35Q86) Strong solutions to PDEs (35D35)

Related Items (5)

Diffusion–reaction–dissolution–precipitation model in a heterogeneous porous medium with nonidentical diffusion coefficients: Analysis and homogenization ⋮ A two-scale iterative scheme for a phase-field model for precipitation and dissolution in porous media ⋮ Robust simulation of mineral precipitation-dissolution problems with variable mineral surface area ⋮ Homogenization of coupled immiscible compressible two-phase flow with kinetics in porous media ⋮ A model for lime consolidation of porous solids

Cites Work

• Global strong solutions for a class of heterogeneous catalysis models
• Global existence of renormalized solutions to entropy-dissipating reaction-diffusion systems
• The semismooth Newton method for the solution of reactive transport problems including mineral precipitation-dissolution reactions
• Stability of mass action reaction-diffusion systems
• Über die Methode der a priori-Schranken
• Improved Duality Estimates and Applications to Reaction-Diffusion Equations
• A Free Boundary Problem Arising from the Leaching of Saine Soils
• Elliptic Partial Differential Equations of Second Order
• Homogenization of a pore scale model for precipitation and dissolution in porous media
• Crystal dissolution and precipitation in porous media: Pore scale analysis
• Diffusion with dissolution and precipitation in a porous medium: Mathematical analysis and numerical approximation of a simplified model
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