Year-end Sale % OFF 
Abstract
In this paper, we study the Riemann problem for the blood flow model with body force term. The Riemann solutions involve the rarefaction waves, the shock waves, and the collapsed state. Due to the effect of body force term, the solutions are not self‐similar. By a transformation, the system can be transformed into the nonreducible blood flow model. The existence of the simple wave solutions to the nonreducible blood flow model is obtained by the method of characteristic decomposition. All Riemann solutions are constructed for any given Riemann initial data. The simple wave and shock wave connected to two constant states on both sides are not straight lines, which are the key innovation and different from the results for the reducible system.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
