Year: 2022
Author: Minyi Guo, Nangao Zhang, Changjiang Zhu
Communications in Mathematical Analysis and Applications, Vol. 1 (2022), Iss. 4 : pp. 503–544
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmaa.2022-0016
Communications in Mathematical Analysis and Applications, Vol. 1 (2022), Iss. 4 : pp. 503–544
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 42
Keywords: Asymptotic behavior blood flow model Green’s function method time-weighted energy estimates.