RT Journal Article
T1 On the Eshelby-Kostrov property for the wave equation in the plane
A1 Herrero, Miguel A.
A1 Oleaga Apadula, Gerardo Enrique
A1 Velázquez, J.J. L.
AB This work deals with the linear wave equation considered in the whole plane R2 except for a rectilinear moving slit, represented by a curve Γ (t) = {(x1, 0) : −∞ < x1 < λ(t)} with t ≥ 0. Along Γ (t) , either homogeneous Dirichlet or Neumann boundary conditions are imposed. We discuss existence and uniqueness for these problems, and derive explicit representation formulae for solutions. These last have a simple geometrical interpretation, and in particular allow to derive precise asymptotic expansions for solutions near the tip of the curve. In the Neumann case, we thus recover a classical result in fracture dynamics, namely the form of the stress intensity factor in crack propagation under antiplane shear conditions
PB American Mathematical Society
SN 1088-6850
YR 2006
FD 2006
LK https://hdl.handle.net/20.500.14352/49705
UL https://hdl.handle.net/20.500.14352/49705
LA eng
DS Docta Complutense
RD 10 abr 2025