Geodesic
A note on poroacoustic traveling waves under Darcy's law: Exact solutions
Applications of Mathematics, Tome 56 (2011) no. 1, pp. 99-115

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A mathematical analysis of poroacoustic traveling wave phenomena is presented. Assuming that the fluid phase satisfies the perfect gas law and that the drag offered by the porous matrix is described by Darcy's law, exact traveling wave solutions (TWS)s, as well as asymptotic/approximate expressions, are derived and examined. In particular, stability issues are addressed, shock and acceleration waves are shown to arise, and special/limiting cases are noted. Lastly, connections to other fields are pointed out and possible extensions of this work are briefly discussed.
DOI : 10.1007/s10492-011-0011-6
Classification : 33E30, 35C07, 35L60, 35L67, 35Q35, 76N15, 76Q05, 76S05
Keywords: poroacoustics; Darcy's law; traveling waves; shock and acceleration waves 
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Jordan, P. M.; Fulford, J. K. A note on poroacoustic traveling waves under Darcy's law: Exact solutions. Applications of Mathematics, Tome 56 (2011) no. 1, pp. 99-115. doi: 10.1007/s10492-011-0011-6

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