We establish the first tight bound on lower tail probability of half-space KPZ equation with Neumann boundary parameter A=−1/2 and narrow-wedge initial data. The demonstrates a crossover between two regimes super-exponential decay exponents 52 3; upper 32 3. Given crude leading-order asymptotic in Stokes region for Ablowitz–Segur solution to Painlevé II (Definition 1.8), we improve demonstrate ...

The response of structures bonded to the surface of a transversely isotropic half-space (TIHS) under the effect of time-harmonic forces is investigated using a coupled FE-BE scheme. To achieve this end, a Finite Element program has been developed for frequency domain analysis of 3D structures, as the first step. The half-space underlying the structure is taken into consideration using a Boundar...