Well-posedness and exponential decay for the Euler-Bernoulli beam conveying fluid equation with non-constant velocity and dynamical boundary conditions

Autor:	Aissa, Akram Ben, Abdelli, Mama, Duca, Alessandro
Rok vydání:	2020
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
DOI:	10.1007/s00033-021-01484-z
Popis:	In this paper, we consider an Euler-Bernoulli beam equation with time-varying internal fluid. We assume that the fluid is moving with non-constant velocity and dynamical boundary conditions are satisfied. We prove the existence and uniqueness of global solution under suitable assumptions on the tension of beam and on the parameters of the problem. Afterwards, we establish the exponential stability of the solution by introducing a suitable Lyapunov functional. Comment: 15 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2005.05216 Zobrazit plný text záznamu View this record from Arxiv