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Asymptotic Analysis of a Class of Abstract Stiff Wave Propagation Problems

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Solutions converge weakly and strongly as the small parameter approaches zero, which highlights the behavior of wave propagation.
The analysis utilizes linear operators in Hilbert spaces to establish the mathematical framework for stiff wave propagation problems.
Applications extend to fields such as nearly incompressible elastodynamics and homogenization of elastic waves.
Implications include improved understanding of how singular stiff terms impact wave behavior in diverse physical contexts.

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Asymptotic analysis reveals convergence of solutions in wave propagation problems, indicating applications in elastodynamics and piezoelectricity.

Sébastien Imperiale (2025) studied this question.

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Asymptotic analysis reveals convergence of solutions in wave propagation problems, indicating applications in elastodynamics and piezoelectricity.