Journal article
GLOBAL EXISTENCE AND LONG-TIME BEHAVIOR OF ENTROPY WEAK SOLUTIONS TO A QUASILINEAR HYPERBOLIC BLOOD FLOW MODEL
Networks and heterogeneous media, Vol.6(4), pp.625-646
12/01/2011
DOI: 10.3934/nhm.2011.6.625
Abstract
This paper is concerned with an initial-boundary value problem on bounded domains for a one dimensional quasilinear hyperbolic model of blood flow with viscous damping. It is shown that L-infinity entropy weak solutions exist globally in time when the initial data are large, rough and contains vacuum states. Furthermore, based on entropy principle and the theory of divergence measure field, it is shown that any L-infinity entropy weak solution converges to a constant equilibrium state exponentially fast as time goes to infinity. The physiological relevance of the theoretical results obtained in this paper is demonstrated.
Details
- Title: Subtitle
- GLOBAL EXISTENCE AND LONG-TIME BEHAVIOR OF ENTROPY WEAK SOLUTIONS TO A QUASILINEAR HYPERBOLIC BLOOD FLOW MODEL
- Creators
- Tong Li - Univ Iowa, Dept Math, Iowa City, IA 52242 USAKun Zhao - Univ Iowa, Dept Math, Iowa City, IA 52242 USA
- Resource Type
- Journal article
- Publication Details
- Networks and heterogeneous media, Vol.6(4), pp.625-646
- Publisher
- AMER INST MATHEMATICAL SCIENCES-AIMS
- DOI
- 10.3934/nhm.2011.6.625
- ISSN
- 1556-1801
- eISSN
- 1556-181X
- Number of pages
- 22
- Grant note
- DMS 0807406; 0635561 / NSF
- Language
- English
- Date published
- 12/01/2011
- Academic Unit
- Mathematics
- Record Identifier
- 9984241048102771
Metrics
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