Exact(1)
When the mobility of a recrystallization front is varying periodically along the front and a uniform pressure P is acting on it and the specific front energy, γ, is constant, the front will, after a transient move forward with a stationary shape and a constant apparent velocity in a direction perpendicular to the direction in which the mobility is varying.
Similar(59)
A woodworker or other craftsperson can work on the rotating piece with a stationary shaping or sanding tool.
One finds a traveling wave with a deterministic bulk of stationary shape (given by a mutation selection flux state) and a stochastic tip.
In the absence of heat losses and preferential diffusion effects, a curved flame with stationary shape and velocity close to those of an open bubble ascending in the same tube is found for values of the fuel mass fraction above a certain minimum that increases with the radius of the tube, while the numerical computations cease to converge to a stationary solution below this minimum mass fraction.
The ratio of Weber Number (describing electric field effects) and Ohnesorge Number (describing physical properties) is found to describe the droplet deformation well for the low frequency range, where the time for the droplet to reach stationary shape is shorter than the electric field half-period.
In analogy to the error threshold in sequence space the phenotypic error threshold separates two scenarios: (i) a stationary (fittest) master shape surrounded by closely related shapes and (ii) populations drifting through shape space by a diffusion-like process.
In this paper, we presented augmented active appearance models, a general approach for AAM fitting in cases of non-stationary shape motions and non-discriminative local texture information.
Underlying assumptions are quasi-stationary shape and surfactant distribution.
The reason for this result is that especially lower leg landmarks are prone to non-stationary shape movements and non-discriminative texture information, which drastically complicates standard AAM fitting but can be handled well by augmented AAMs.
As stated in the motivation (cf. Subsection 1.2), the goal is to overcome poor fitting results in cases of non-stationary shape activities [31, 32] and non-discriminative texture information, which is particularly true for the locomotion analysis scenario presented in this paper.
Taken together, these results indicate that refractoriness of boundary cells to the Wg signal provided by the activity of Cut is required to shape a stationary and stable DV boundary in the developing wing primordium.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com