We study the amplification of shallow-water waves in course their propagation a duct variable cross section with spatially inhomogeneous flow. derive basic set equations for wave and present asymptotic analysis solutions neighborhood critical points where speed coincides current. The considered model represents kinematic analog astrophysical event horizons occurring vicinity black holes (BH) or...

Arch dams are generally built in cantilvever monoliths. Vertical contraction joints between monoliths control the stresses due to concrete shrinkage and temperature variations. Past studies in earthquake safety evaluation of the system often show the tensile fracture and local nonlinear deformation of joints. In this paper, some nonlinear joint element constitutive models are presented to exami...

We derive general kinetic and hydrodynamic models of chemotactic aggregation that describe certain features of the morphogenesis of biological colonies (like bacteria, amoebae, endothelial cells or social insects). Starting from a stochastic model defined in terms of N coupled Langevin equations, we derive a nonlinear mean field Fokker-Planck equation governing the evolution of the distribution...