کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4664872 | 1345312 | 2010 | 37 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: A hyperbolic system of conservation laws for fluid flows through compliant axisymmetric vessels A hyperbolic system of conservation laws for fluid flows through compliant axisymmetric vessels](/preview/png/4664872.png)
We are concerned with the derivation and analysis of one-dimensional hyperbolic systems of conservation laws modelling uid ows such as the blood ow through compliant axisymmetric vessels. Early models derived are nonconservative and/or nonhomogeneous with measure source terms, which are endowed with infinitely many Riemann solutions for some Riemann data. In this paper, we derive a one-dimensional hyperbolic system that is conservative and homogeneous. Moreover, there exists a unique global Riemann solution for the Riemann problem for two vessels with arbitrarily large Riemann data, under a natural stability entropy criterion. The Riemann solutions may consist of four waves for some cases. The system can also be written as a 3×3 system for which strict hyperbolicity fails and the standing waves can be regarded as the contact discontinuities corresponding to the second family with zero eigenvalue.
Journal: Acta Mathematica Scientia - Volume 30, Issue 2, March 2010, Pages 391-427