Asymptotic estimates of viscoelastic Green’s functions near the wavefront
Andrzej J. Hanyga · Quarterly of Applied Mathematics · 2015
Asymptotic behavior of viscoelastic Green’s functions near the wavefront is expressed in terms of a causal function g ( t ) g(t) defined in Hanyga and Seredyńska (2012) in connection with the Kramers-Kronig dispersion relations. Viscoelastic Green’s functions exhibit a discontinuity at the wavefront if g ( 0 ) > ∞ g(0) > \infty . Estimates of continuous and discontinuous viscoelastic Green’s functions near the wavefront are obtained.