Optimal decay rates of solutions to a blood flow model. (English) Zbl 07730362
Summary: 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.
MSC:
| 92C35 | Physiological flow |
| 35Q92 | PDEs in connection with biology, chemistry and other natural sciences |
| 35L65 | Hyperbolic conservation laws |
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 76Z05 | Physiological flows |
Keywords:
asymptotic behavior; blood flow model; Green’s function method; time-weighted energy estimatesReferences:
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