Exponential stability in two-dimensional magneto-elasticity : a proof on a dissipative medium
Luiz C L Botelho
TL;DR
This paper proves that magneto-elastic waves in a compact medium decay exponentially over time, demonstrating stability in a dissipative medium.
Contribution
It provides a rigorous proof of exponential decay for magneto-elastic waves in a dissipative medium, advancing understanding of their stability.
Findings
Magneto-elastic waves decay exponentially in a compact medium
The decay rate is uniform and independent of initial conditions
The medium's dissipative properties ensure stability
Abstract
We give a proof of the exponential uniform decay of magneto-elasticity waves in a compact medium
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Gas Dynamics and Kinetic Theory · Thermoelastic and Magnetoelastic Phenomena