We investigate the dissolution of artificial fractures with three-dimensional, pore-scale numerical simulations. The fluid velocity in the fracture space was determined from a lattice-Boltzmann method, and a stochastic solver was used for the transport of dissolved species. Numerical simulations were used to study conditions under which long conduits (wormholes) form in an initially rough but s...

Some positive answers to the problem of endowing a dynamical system with Hamiltonian formulation are presented within class Poisson structures in geometric framework. We address this on orientable manifolds and by using decomposable structures. In first case, existence is ensured under vanishing some topological obstructions, improving result Gao. second we apply variant Hojman construction sol...

This paper reveals some new analytical and geometrical properties of the generalized algebraic multiplicity, χ, introduced in [7], [5] further developed [15], [17], [18]. In particular, it establishes a completely connection between χ concept local intersection index varieties, central device Algebraic Geometry. link Nonlinear Spectral Theory Geometry provides to with deep meaning. Moreover, is...