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The stability of quasi-transverse shock waves in anisotropic elastic media. (English. Russian original) Zbl 0984.74041
J. Appl. Math. Mech. 64, No. 6, 981-986 (2000); translation from Prikl. Mat. Mekh. 64, No. 6, 1020-1026 (2000).
The authors consider a weakly anisotropic elastic medium. Using linearized equations, the authors study the stability of weak quasi-transversal shock waves to arbitrarily directed perturbations. It is shown that the fast quasi-transversal shock waves are stable.

74J40 Shocks and related discontinuities in solid mechanics
74E10 Anisotropy in solid mechanics
74H55 Stability of dynamical problems in solid mechanics
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