L. Liverani

most citedOn the Moore-Gibson-Thompson equation with memory with nonconvex kernels

2 citations · 2 across the 2 of their papers we have counts for

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math.AP2021

A note on the energy transfer in coupled differential systems

Monica Conti, Lorenzo Liverani, Vittorino Pata

We study the energy transfer in the linear system ${u ¨ + u + u ˙ = b v ˙ v ¨ + v - ε v ˙ = - b u ˙$ made by two coupled differential equations,…

math.AP2021★ 2 cited

On the Moore-Gibson-Thompson equation with memory with nonconvex kernels

Monica Conti, Lorenzo Liverani, Vittorino Pata

We consider the MGT equation with memory $\partial_{ttt} u + α \partial_{tt} u - β Δ \partial_{t} u - γ Δ u + \int_{0}^{t} g (s) Δ u (t - s) d s = 0.$ We prove an existence and uniqueness re…

math.AP2021

The MGT-Fourier model in the supercritical case

Monica Conti, Lorenzo Liverani, Vittorino Pata

We address the energy transfer in the differential system ${u_{ttt} + α u_{tt} - β Δ u_{t} - γ Δ u = - η Δ θ θ_{t} - κ Δ θ = η Δ u_{tt} + α η Δ u_{t}$ made by a Moore-Gibson-T…