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Keywords = Rubin–Rosenau–Gottlieb theory

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14 pages, 717 KiB  
Article
Poroacoustic Traveling Waves under the Rubin–Rosenau–Gottlieb Theory of Generalized Continua
by Pedro M. Jordan
Water 2020, 12(3), 807; https://doi.org/10.3390/w12030807 - 14 Mar 2020
Cited by 5 | Viewed by 2624
Abstract
We investigate linear and nonlinear poroacoustic waveforms under the Rubin–Rosenau– Gottlieb (RRG) theory of generalized continua. Working in the context of the Cauchy problem, on both the real line and the case with periodic boundary conditions, exact and asymptotic expressions are obtained. Numerical [...] Read more.
We investigate linear and nonlinear poroacoustic waveforms under the Rubin–Rosenau– Gottlieb (RRG) theory of generalized continua. Working in the context of the Cauchy problem, on both the real line and the case with periodic boundary conditions, exact and asymptotic expressions are obtained. Numerical simulations are also presented, von Neumann–Richtmyer “artificial” viscosity is used to derive an exact kink-type solution to the poroacoustic piston problem, and possible experimental tests of our findings are noted. The presentation concludes with a discussion of possible follow-on investigations. Full article
(This article belongs to the Special Issue Physical and Mathematical Fluid Mechanics)
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