Geodesic
About regularity of propagation of boundary perturbation fronts withing thin layers
Dalʹnevostočnyj matematičeskij žurnal, Tome 6 (2005) no. 1, pp. 106-111

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Following the shock compatibility condition on moving front surfaces withing elastic layers with an arbitrary geometry and a small thickness, attenuation equations for wave strengthes were found and analysed for shocks depending on the wave curvature and the wave front curvature. 
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     author = {D. N. Lozitsky and V. E. Ragozina},
     title = {About regularity of propagation of boundary perturbation fronts withing thin layers},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {106--111},
     publisher = {mathdoc},
     volume = {6},
     number = {1},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2005_6_1_a9/}
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D. N. Lozitsky; V. E. Ragozina. About regularity of propagation of boundary perturbation fronts withing thin layers. Dalʹnevostočnyj matematičeskij žurnal, Tome 6 (2005) no. 1, pp. 106-111. http://geodesic.mathdoc.fr/item/DVMG_2005_6_1_a9/