We study pointwise convergence of the solution to elastic wave equation initial data which lies in Sobolev spaces. prove that converges along every line almost everywhere whenever regularity is greater than one half. show this optimal.

Explosion and fire on an offshore rig can lead to its minor or complete damage and sinking which means the loss of life or environmental pollution. Hence the use of techniques such as blast wall is crucial to reduce the detrimental effects. These blast walls are designed for explosion wave of length between 0.1 to 1 of load mainly to protect the personnel and critical sections. In this research...

A problem of reflection and transmission of a plane shear wave incident at a corrugated interface between transversely isotropic inhomogeneous and visco-elastic half-spaces is investigated. Applying appropriate boundary conditions and using Rayleigh’s method of approximation expressions for reflection and transmission coefficients are obtained for the first and second order approximation of the...