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Journal article
Well-posedness, ill-posedness, and traveling waves for models of pulsatile flow in viscoelastic vessels
Zeitschrift für angewandte Mathematik und Physik, v 73(6)
2022
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Abstract
We study dispersive models of fluid flow in viscoelastic vessels, derived in the study of blood flow. The unknowns in the models are the velocity of the fluid in the axial direction and the displacement of the vessel wall from rest. We prove that one such model has a well-posed initial value problem, while we argue that a related model instead has an ill-posed initial value problem; in the second case, we still prove the existence of solutions in analytic function spaces. Finally, we prove the existence of some periodic traveling waves.
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Details
- Title
- Well-posedness, ill-posedness, and traveling waves for models of pulsatile flow in viscoelastic vessels
- Creators
- Hyeju Kim - Department of Mathematics, Drexel UniversityDavid M. Ambrose - Drexel University
- Publication Details
- Zeitschrift für angewandte Mathematik und Physik, v 73(6)
- Publisher
- Springer International Publishing
- Grant note
- DMS-1907684 / Division of Mathematical Sciences (http://dx.doi.org/10.13039/100000121)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000878667700001
- Scopus ID
- 2-s2.0-85141177417
- Other Identifier
- 991019295202904721
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- Web of Science research areas
- Mathematics, Applied