Using hybrid simulations, we examine how particles can diffuse across the Earth’s magnetopause because of finite Larmor radius effects. We focus on tangential discontinuities and consider a reversal of the magnetic field that closely models the magnetopause under southward interplanetary magnetic field. When the Larmor radius is on the order of the field reversal thickness, we show that particl...

By using a suitable rescaled form of time-harmonic Maxwell’s equations, we numerically simulate the propagation of a slowly decaying electromagnetic wave, called surface plasmonpolariton, excited along a large conducting sheet, e.g., a single-layer graphene sheet, by an electric Hertzian dipole. For this purpose, we derive a variational formulation that enables a direct numerical treatment of t...

We developed a kinematic earthquake cycle model applicable to transform fault zones, subduction zones, and collision zones on the basis of elastic dislocation theory. The crustal deformation associated with the periodic occurrence of interplate earthquakes is generally given by the superposition of viscoelastic responses to steady slip on the whole plate boundary, steady back slip on the seismi...

We present a numerical method for two-phase incompressible Navier-Stokes equation with jump discontinuity in the normal component of stress tensor and material properties. Although proposed is only first-order accurate, it does capture sharply, not neglecting nor omitting any condition. Discontinuities velocity gradient pressure are expressed using linear combination singular force tangential d...

The modulation instability of surface capillary-gravity water waves is analysed in a shear flow model with tangential discontinuity velocity. It assumed that air blows along the uniform profile vertical direction. Such model, despite its simplicity, plays an important role hydrodynamics as reference for investigating basic physical phenomena wave–current interactions and acquiring insights into...

This paper provides a mathematical description of hydromechanical coupling associated with propagation localized damage. The framework incorporates an embedded discontinuity approach and addresses the assessment both hydraulic mechanical properties in region intercepted by fracture. Within this approach, internal length scale parameter is explicitly employed definition equivalent permeability a...

A three-dimensional global hybrid simulation is conducted for the interaction of Earth's bow shock with an interplanetary directional tangential discontinuity (TD) whose normal lies in equatorial plane. Although convection electric field points into TD from its trailing side both north and south equator, only generates a hot flow anomaly (HFA) southern hemisphere. HFA generation results shock-r...

Distributive lattices with operators (DLO) are a natural generalization of the notion of Boolean algebras with operators. An operator in a bounded distributive lattice A is a function f : An → A which preserves ∧ (or ∨) in each coordinate. In the last few years these classes of algebras have been actively investigated since they appear as algebraic counterpart of many logics. Some important con...

While handling deformable linear objects (DLOs), such as hoses, wires or leaf springs, with an industrial robot at high speed, unintended and undesired oscillations that delay further operations may occur. This paper analyzes oscillations based on a simple model with one degree of freedom (DOF) and presents a method for active open-loop damping. Different ways to interpret an oscillating DLO as...