A new asymptotic unidirectional model for viscoelastic arterial blood flow is derived, with local well-posedness proved in Sobolev spaces and global existence plus exponential decay established for small data in the elastic BBM regime.
Kielh¨ ofer,Bifurcation Theory: An Introduction with Applications to PDEs.Springer-Verlag, Berlin-Heidelberg- New York, (2004)
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Asymptotic models for viscoelastic one-dimensional blood flow
A new asymptotic unidirectional model for viscoelastic arterial blood flow is derived, with local well-posedness proved in Sobolev spaces and global existence plus exponential decay established for small data in the elastic BBM regime.