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

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 
@article{10_1007_s10492_011_0011_6,
     author = {Jordan, P. M. and Fulford, J. K.},
     title = {A note on poroacoustic traveling waves under {Darcy's} law: {Exact} solutions},
     journal = {Applications of Mathematics},
     pages = {99--115},
     publisher = {mathdoc},
     volume = {56},
     number = {1},
     year = {2011},
     doi = {10.1007/s10492-011-0011-6},
     mrnumber = {2807428},
     zbl = {1224.33014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-011-0011-6/}
}
TY  - JOUR
AU  - Jordan, P. M.
AU  - Fulford, J. K.
TI  - A note on poroacoustic traveling waves under Darcy's law: Exact solutions
JO  - Applications of Mathematics
PY  - 2011
SP  - 99
EP  - 115
VL  - 56
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10492-011-0011-6/
DO  - 10.1007/s10492-011-0011-6
LA  - en
ID  - 10_1007_s10492_011_0011_6
ER  - 
%0 Journal Article
%A Jordan, P. M.
%A Fulford, J. K.
%T A note on poroacoustic traveling waves under Darcy's law: Exact solutions
%J Applications of Mathematics
%D 2011
%P 99-115
%V 56
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1007/s10492-011-0011-6/
%R 10.1007/s10492-011-0011-6
%G en
%F 10_1007_s10492_011_0011_6
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. http://geodesic.mathdoc.fr/articles/10.1007/s10492-011-0011-6/

Cité par Sources :