Convergence to traveling waves in two model systems related to the dynamics of liquid-vapor phase changes

DOI10.1006/jdeq.2000.3880zbMath0972.35099OpenAlexW2031287560MaRDI QIDQ1592711

Haitao Fan

Publication date: 21 November 2001

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.2000.3880

zbMATH Keywords

stabilityconvergenceliquid-vapor phase transitionshock tubesexistence of reacting traveling wavesinitiation of nucleiretrograde fluids

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Reaction-diffusion equations (35K57) Stefan problems, phase changes, etc. (80A22) Shock waves and blast waves in fluid mechanics (76L05) Liquid-gas two-phase flows, bubbly flows (76T10)

Related Items (3)

Stability of standing waves for monostable reaction-convection equations in a large bounded domain with boundary conditions ⋮ Collapsing and explosion waves in phase transitions with metastability, existence, stability and related Riemann problems ⋮ Travelling waves of phase transitions in porous media

Cites Work

• Unnamed Item
• The behavior of solutions of some non-linear diffusion equations for large time
• Traveling waves, Riemann problems and computations of a model of the dynamics of liquid/vapor phase transitions
• Convergence of solutions of the Kolmogorov equation to travelling waves
• Shock waves and phase changes in a large-heat-capacity fluid emerging from a tube
• A Qualitative Model for Dynamic Combustion
• On a Model of the Dynamics of Liquid/Vapor Phase Transitions

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