Laminar-turbulent reactive flows in porous media

DOI10.1007/s00574-016-0137-yzbMath1337.35090OpenAlexW2319906322MaRDI QIDQ285343

Andrea Corli, Haitao Fan

Publication date: 19 May 2016

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://link.springer.com/article/10.1007/s00574-016-0137-y

zbMATH Keywords

Riemann problemregularization techniqueliquid-vapor phase transitions

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65) Three or more component flows (76T30) Traveling wave solutions (35C07)

Cites Work

• Unnamed Item
• Well-posedness for a scalar conservation law with singular nonconservative source
• A hyperbolic model for the effects of urbanization on air pollution
• On the existence of global smooth solutions for a model equation for fluid flow in a pipe
• Traveling waves, Riemann problems and computations of a model of the dynamics of liquid/vapor phase transitions
• Godunov-type approximation for a general resonant balance law with large data.
• The generic solution of the Riemann problem in a neighborhood of a point of resonance for systems of nonlinear balance laws
• Phase transitions for laminar-turbulent flows in a pipeline or through porous media
• Discontinuous travelling wave solutions for a class of dissipative hyperbolic models
• Traveling waves in porous media with phase-dependent damping
• Travelling waves of phase transitions in porous media
• The existence of a global weak solution to the non-linear waterhammer problem
• A Bound on the Total Variation of the Conserved Quantities for Solutions of a General Resonant Nonlinear Balance Law
• Convergence of the $2 \times 2$ Godunov Method for a General Resonant Nonlinear Balance Law