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Volume 1, Issue 4
Optimal Decay Rates of Solutions to a Blood Flow Model

Minyi Guo, Nangao Zhang & Changjiang Zhu

DOI: 10.4208/cmaa.2022-0016

Commun. Math. Anal. Appl., 1 (2022), pp. 503-544.

Published online: 2022-10

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  • 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.

  • Keywords

Asymptotic behavior, blood flow model, Green’s function method, time-weighted energy estimates.

  • AMS Subject Headings

85A25, 35L65, 35B40

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMAA-1-503, author = {Guo , MinyiZhang , Nangao and Zhu , Changjiang}, title = {Optimal Decay Rates of Solutions to a Blood Flow Model}, journal = {Communications in Mathematical Analysis and Applications}, year = {2022}, volume = {1}, number = {4}, pages = {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.

}, issn = {2790-1939}, doi = {https://doi.org/ 10.4208/cmaa.2022-0016}, url = {http://global-sci.org/intro/article_detail/cmaa/21120.html} }
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 -

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.

Minyi Guo, Nangao Zhang & Changjiang Zhu. (2022). Optimal Decay Rates of Solutions to a Blood Flow Model. Communications in Mathematical Analysis and Applications. 1 (4). 503-544. doi: 10.4208/cmaa.2022-0016
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