Hyperbolic Theory for Flow in Permeable Media with pH-Dependent Adsorption

@article{Prigiobbe2013HyperbolicTF,
  title={Hyperbolic Theory for Flow in Permeable Media with pH-Dependent Adsorption},
  author={Valentina Prigiobbe and Marc Andre Hesse and Steven L. Bryant},
  journal={SIAM J. Appl. Math.},
  year={2013},
  volume={73},
  pages={1941-1957}
}
A theory for the solution of the Riemann problem for a one-dimensional, quasi-linear, 2$\times$2 system of conservation laws describing reactive transport in a permeable medium with pH-dependent adsorption is developed. The system is strictly hyperbolic and nongenuinely nonlinear because the adsorption isotherms are not convex functions. The solution comprises nine fundamental structures, which are a concatenation of elementary and composed waves. In the limit of low pH, the isotherms reduce to… 
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