Steadily Translating Parabolic Dissolution Fingers

DOI10.1137/151003751zbMath1327.35454arXiv1507.04056OpenAlexW2962892352MaRDI QIDQ3195449

Paweł Kondratiuk, Piotr Szymczak

Publication date: 19 October 2015

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.04056

zbMATH Keywords

porous mediafree boundary problemsconvection-diffusion-reactiondissolution

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Boundary value problems in the complex plane (30E25) Free boundary problems for PDEs (35R35) Geological problems (86A60) PDEs in connection with geophysics (35Q86)

Related Items (4)

Riemann‐Hilbert Problems for the Shapes Formed by Bodies Dissolving, Melting, and Eroding in Fluid Flows ⋮ Dissolution of a cylindrical disk in Hele-Shaw flow: a conformal-mapping approach ⋮ A boundary-integral framework to simulate viscous erosion of a porous medium ⋮ Moving Boundary Problems for Quasi-Steady Conduction Limited Melting

Cites Work

• Unnamed Item
• Core-scale description of porous media dissolution during acid injection. I: Theoretical development
• On the determination of the shape of bodies formed by solidification of the fluid phase of the stream
• Evolution of flat crystallisation front in forced hydrodynamic flow---some explicit solutions
• Stability of an acid front moving through porous rock
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• Exact solutions to the unsteady two-phase Hele-Shaw problem
• Reactive-infiltration instabilities in rocks. Part 2. Dissolution of a porous matrix
• Reactive Infiltration Instabilities
• A Weakly Nonlinear Stability Analysis of the Reactive Infiltration Interface
• Investigations on the dendrite problem at zero surface tension in 2D and 3D geometries
• A note on the two-phase Hele-Shaw problem
• On the ability of a Darcy-scale model to capture wormhole formation during the dissolution of a porous medium
• Conformal mapping of some non-harmonic functions in transport theory
• Mathematical theory of freezing for flow in porous media
• Dissolution Effects in Transport in Porous Media
• Steady advection–diffusion around finite absorbers in two-dimensional potential flows

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