We derive measures of local material stretching and rotation that are computable from
individual trajectories without reliance on other trajectories or on an underlying velocity field …

Several procedures have been proposed to modify non-objective (observer-dependent)
local vortex criteria so that they become objective. These modifications are only justifiable if …

We use the recent frame-indifferent theory of diffusive momentum transport to identify
internal barriers in wall-bounded turbulence. Formed by the invariant manifolds of the …

The real Schur form (RSF) of a generic velocity gradient field∇ u is exploited to expose the
structures of flows, in particular, our field decomposition resulting in two vorticities with only …

The principle of least action is a variational principle that states an object will always take the
path of least action as compared to any other conceivable path. This principle can be used …

Loess mudflow is a unique geological hazard in the Loess Plateau, presenting a significant
risk to the lives and properties of the region's inhabitants. Defining and categorizing loess …

In this short paper, we discuss and provide constitutive relations for the stress tensor and the
heat flux vector for a nonlinear density-gradient dependent (Korteweg-type) fluid …

Form-invariance (covariance) and frame-indifference (objectivity) are two notions in classical
continuum mechanics which have attracted much attention and controversy over the past …

Flowing media in both industrial and natural processes are often characterized as
assemblages of densely packed granular materials. Typically, the constitutive relations for …

We use the recent frame-indifferent theory of diffusive momentum transport to identify 7
internal barriers in wall-bounded turbulence. Formed by the invariant manifolds of the 8 …