Summary
In this paper an “ad hoc” asymptotic approach is employed in order to study nonlinear wave propagation compatible with the non-diffusive version of the model of bubbly liquids introduced by Drumheller and Bedford [13]. A third order transport equation representing a generalization of the usually considered Korteweg-de Vries-Burgers equation and a simplified version of the evolution equation obtained in a previous paper by Fusco and Oliveri [16] for the full model including the diffusion of the bubbles with respect to the liquid is constructed. The related wave profiles are investigated through numerical integrations.
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Oliveri, F. Nonlinear wave propagation in a non-diffusive model of bubbly liquids. Acta Mechanica 83, 135–148 (1990). https://doi.org/10.1007/BF01172975
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DOI: https://doi.org/10.1007/BF01172975