Dynamics of water evaporation fronts

DOI10.1134/S0965542513090078zbMath1299.76075OpenAlexW2087187913MaRDI QIDQ5413207

V. A. Shargatov, Andrej Il'ichev

Publication date: 28 April 2014

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542513090078

zbMATH Keywords

stabilitydiffusionbifurcationphase transitionporous mediaKolmogorov-Petrovskij-Piskunov equationwater evaporation front

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Flows in porous media; filtration; seepage (76S05) Interfacial stability and instability in hydrodynamic stability (76E17) Liquid-gas two-phase flows, bubbly flows (76T10)

Related Items (9)

Instability of a liquid-vapor phase transition front in inhomogeneous wettable porous media ⋮ Linear stability of a filtration flow with gas-oil interface within the Brinkman approach ⋮ Stability of finite perturbations of the phase transition interface for one problem of water evaporation in a porous medium ⋮ Existence of a steady-statewater evaporation front in a horizontally extended low-permeability region ⋮ Dynamics of front-like water evaporation phase transition interfaces ⋮ Dynamics of perturbations under diffusion in a porous medium ⋮ Critical evolution of finite perturbations of a water evaporation surface in porous media ⋮ Dynamics and stability of air bubbles in a porous medium ⋮ Well-Posedness for a moving boundary model of an evaporation front in a porous medium

Cites Work

• Rayleigh-Taylor instability of an interface in a nonwettable porous medium
• Weakly linear theory for the instability of long-wave perturbations
• On the nonlinear dynamics of travelling fronts
• Catastrophic transition to instability of evaporation front in a porous medium
• Convergence of solutions of the Kolmogorov equation to travelling waves

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