TY - JOUR
T1 - Optimal Decay Rates of Solutions to a Blood Flow Model
AU - Guo , Minyi
AU - Zhang , Nangao
AU - Zhu , Changjiang
JO - Communications in Mathematical Analysis and Applications
VL - 4
SP - 503
EP - 544
PY - 2022
DA - 2022/10
SN - 1
DO - http://doi.org/ 10.4208/cmaa.2022-0016
UR - https://global-sci.org/intro/article_detail/cmaa/21120.html
KW - Asymptotic behavior, blood flow model, Green’s function method, time-weighted energy estimates.
AB - <p style="text-align: justify;">In this paper, we are concerned with the asymptotic behavior of solutions to Cauchy problem of a blood flow model. Under some smallness conditions on the initial perturbations, we prove that Cauchy problem of blood flow
model admits a unique global smooth solution, and such solution converges
time-asymptotically to corresponding equilibrium states. Furthermore, the optimal convergence rates are also obtained. The approach adopted in this paper
is Green’s function method together with time-weighted energy estimates.</p>