We study geometrical representation of oscillatory integrals with an analytic phase function and a smooth amplitude compact support. Geometrical properties the curves defined by integral depend on type critical point phase. give explicit formulas for box dimension Minkowski content these curves. Methods include Newton diagrams resolution singularities.

Abstract The first order reversal curve (FORC) method is a magnetometry based technique used to capture nanoscale magnetic phase separation and interactions with macroscopic measurements using minor hysteresis loop analysis. This makes the FORC powerful tool in analysis of complex systems which cannot be effectively probed localized techniques. However, recovering quantitative details about ide...

This work is a primary achievement in studying the CO2 and N2–oil systems. To predict gas-liquid relative permeability curves, a Shan-Chen type multicomponent multiphase lattice Boltzmann model for two-phase flow through 2D porous media is developed. Periodic and bounce back boundary conditions are applied to the model with the Guo scheme for the external body force (i.e.,...

Lobe dynamics and escape from a potential well are general frameworks introduced to study phase space transport in chaotic dynamical systems. While the former approach studies how regions of phase space are transported by reducing the flow to a two-dimensional map, the latter approach studies the phase space structures that lead to critical events by crossing periodic orbit around saddles. Both...