Inverse Laplace Transforms Encountered in Hyperbolic Problems of Non-Stationary Fluid-Structure Interaction
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Bibliographic record
Abstract
Abstract The paper offers a study of the inverse Laplace transforms of the functions where I n is the modified Bessel function of the first kind and r is a parameter. The present study is a continuation of the author's previous work on the singular behavior of the special case of the functions in question, r =1. The general case of r ∈ [0, 1] is addressed, and it is shown that the inverse Laplace transforms for such r exhibit significantly more complex behavior than their predecessors, even though they still only have two different types of points of discontinuity: singularities and finite discontinuities. The functions studied originate from non-stationary fluid-structure interaction, and as such are of interest to researchers working in the area.
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| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
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| Insufficient payload (model declined to judge) | 0.002 | 0.000 |
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