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Parabolic Perturbation of a Nonlinear Hyperbolic Problem Arising in Physiology
- Source :
- Journal of Differential Equations. 101(1):178-212
- Publication Year :
- 1993
- Publisher :
- Elsevier BV, 1993.
-
Abstract
- We study a transport-diffusion initial value problem where the diffusion codlicient is "small" and the transport coefficient is a time function depending on the solution in a nonlinear and nonlocal way. We show the existence and the uniqueness of a weak solution of this problem. Moreover we discuss its asymptotic behaviour as the diffusion coefficient goes to zero, obtaining a well-posed first-order nonlinear hyperbolic problem. These problems arise from mathematical models of muscle contraction in the framework of the sliding filament theory.
Details
- ISSN :
- 00220396
- Volume :
- 101
- Issue :
- 1
- Database :
- OpenAIRE
- Journal :
- Journal of Differential Equations
- Accession number :
- edsair.doi.dedup.....9e9b4eb14e2847e43d809c60eaf13a32
- Full Text :
- https://doi.org/10.1006/jdeq.1993.1010