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math.AP2020★ 7 cited
Schrödinger equation in moving domains
Alessandro Duca, Romain Joly
We consider the Schr\''odinger equation \begin{equation}\label{eq_abstract} i\partial_t u(t)=-Δu(t)~~~~~\text{ on }Ω(t) \tag{} \end{equation}where is…
math.AP2020★ 1 cited
Well-posedness and exponential decay for the Euler-Bernoulli beam conveying fluid equation with non-constant velocity and dynamical boundary conditions
Akram Ben Aissa, Mama Abdelli, Alessandro Duca
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 c…