Sufficient Conditions for the Controllability of Wave Equations with a Transmission Condition at the Interface

2017/11/01 by Ludovick Gagnon, Gagnon, Ludovick · 2 citations
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Numerical methods in inverse problems #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations

paper · doi:10.48550/arxiv.1711.00448

openalex publication_date 2017/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider waves travelling in two different mediums each endowed with a different constant speed of propagation. At the interface between the two mediums, the refraction of the rays of the optic geometry is described by the Snell-Descartes law. We provide sufficient conditions on the geometry of the mediums and on the speed of propagation for the boundary controllability.

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• Variational data assimilation for the wave equation in heterogeneous media: Numerical investigation of stability
• Observability of wave and plate equations with rough coefficients and interfaces: a multiplier approach

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