English

The generalized Buckley-Leverett System. Solvability

Analysis of PDEs 2010-11-25 v1

Abstract

We propose a new approach to the mathematical modeling of the Buckley- Leverett system, which describes two-phase flows in porous media. Considering the initial-boundary value problem for a deduced model, we prove the solvability of the problem. The solvability result relies mostly on the kinetic method.

Keywords

Cite

@article{arxiv.1011.5461,
  title  = {The generalized Buckley-Leverett System. Solvability},
  author = {Nikolai Chemetov and Wladimir Neves},
  journal= {arXiv preprint arXiv:1011.5461},
  year   = {2010}
}

Comments

26 pages

R2 v1 2026-06-21T16:48:37.878Z