Abstract:This paper is concerned with nonlinear stability of rarefaction wave to
the Cauchy problem for a blood flow model, which describes the motion of
blood through axi-symmetric compliant vessels. Inspired by the stability
analysis of classical $p$-system, we show the solution of this typical
model tends time-asymptotically toward the rarefaction wave under some
suitably small conditions and there are more difficulties in the proof
due to the appearance of strong nonlinear terms including second-order
derivative of… Show more
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