Dynamics of perturbations under diffusion in a porous medium

DOI10.1134/S0081543820050211zbMath1454.35299OpenAlexW3110741138MaRDI QIDQ2214299

V. A. Shargatov, Andrej Il'ichev

Publication date: 8 December 2020

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543820050211

zbMATH Keywords

diffusionporous mediumperturbationevaporationfrontphase transition surface

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Traveling wave solutions (35C07)

Cites Work

• Unnamed Item
• Unnamed Item
• Explicit solutions of Fisher's equation for a special wave speed
• Exact solutions of a family of Fisher equations
• Dynamics of front-like water evaporation phase transition interfaces
• Catastrophic transition to instability of evaporation front in a porous medium
• A regularity theorem for parabolic equations
• EXACT SOLUTIONS FOR THE GROWTH OF FINGERS FROM A FLAT INTERFACE BETWEEN TWO FLUIDS IN A POROUS MEDIUM OR HELE-SHAW CELL
• Instability of the salinity profile during the evaporation of saline groundwater
• Convergence of solutions of the Kolmogorov equation to travelling waves
• Global and absolute instabilities of spatially developing open flows and media with algebraically decaying tails
• Dynamics of water evaporation fronts

This page was built for publication: Dynamics of perturbations under diffusion in a porous medium