The 2-dimensional Riemann problem for a 2 × 2 Hyperbolic conservation law II. Anisotropic media

Woonjae Hwang, W. Brent Lindquist

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

We construct the solutions to a two-dimensional (2-D) Riemann problem for a 2 × 2 hyperbolic nonlinear system which models polymer flooding in an anisotropic oil reservoir. The construction demonstrates the importance of the shock, rarefaction, and contact "base points" and "base curves" in the determination of the solutions for 2-D Riemann problems. In particular, we establish some new relations between these. While specific details of the base points and curves are applicable only to this model, the existence of the curves and the existence of relationships between these curves are general features to be exploited for any hyperbolic system.

Original languageEnglish
Pages (from-to)359-384
Number of pages26
JournalSIAM Journal on Mathematical Analysis
Volume34
Issue number2
DOIs
StatePublished - 2003

Keywords

  • Conservation laws
  • Hyperbolic systems
  • Riemann problems

Fingerprint

Dive into the research topics of 'The 2-dimensional Riemann problem for a 2 × 2 Hyperbolic conservation law II. Anisotropic media'. Together they form a unique fingerprint.

Cite this