Florida International University

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20022026

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Dynamics of solutions in the 1d bi-harmonic nonlinear Schrödinger equation

Christian Klein, Iryna Petrenko, Svetlana Roudenko +1

We consider the one dimensional 4th order, or bi-harmonic, nonlinear Schrödinger (NLS) equation, namely, $i u_{t} - Δ^{2} u - 2 a Δ u + ∣ u ∣^{α} u = 0, x, a \in R$ , $α > 0$ , and investigate…

math.AP2025

Strong and weak solutions to a structural acoustic model with a $C^{1}$ source term on the plate

Andrew R. Becklin, Yanqiu Guo

In this manuscript, we consider a structural acoustic model consisting of a wave equation defined in a bounded domain $Ω \subset R^{3}$ , strongly coupled with a Berger plate…

Dynamics of solutions in the 1d bi-harmonic nonlinear Schrödinger equation

Strong and weak solutions to a structural acoustic model with a C1 source term on the plate

Strong and weak solutions to a structural acoustic model with a $C^{1}$ source term on the plate