Journal article
ON A QUASILINEAR HYPERBOLIC SYSTEM IN BLOOD FLOW MODELING
Discrete and continuous dynamical systems. Series B, Vol.16(1), pp.333-344
07/01/2011
DOI: 10.3934/dcdsb.2011.16.333
Abstract
This paper aims at 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, for given smooth initial data close to a constant equilibrium state, there exists a unique global smooth solution to the model. Time asymptotically, it is shown that the solution converges to the constant equilibrium state exponentially fast as time goes to infinity due to viscous damping and boundary effects.
Details
- Title: Subtitle
- ON A QUASILINEAR HYPERBOLIC SYSTEM IN BLOOD FLOW MODELING
- Creators
- Tong Li - Univ Iowa, Dept Math, Iowa City, IA 52242 USAKun Zhao - Ohio State Univ, Math Biosci Inst, Columbus, OH 43210 USA
- Resource Type
- Journal article
- Publication Details
- Discrete and continuous dynamical systems. Series B, Vol.16(1), pp.333-344
- DOI
- 10.3934/dcdsb.2011.16.333
- ISSN
- 1531-3492
- eISSN
- 1553-524X
- Publisher
- AMER INST MATHEMATICAL SCIENCES-AIMS
- Number of pages
- 12
- Grant note
- DMS 0807406; 0635561 / NSF
- Language
- English
- Date published
- 07/01/2011
- Academic Unit
- Mathematics
- Record Identifier
- 9984240769102771
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