For gravity waves, according to linear theory, these are the acceleration by gravity " g " and the water depth " h ".
12.
Airy wave theory is a linear theory for the propagation of waves on the surface of a potential flow and above a horizontal bottom.
13.
For their formulation within the framework of linear theory, it is necessary to specify what the base state ( or zeroth-order solution ) of the flow is.
14.
While Pilot-Induced oscillations often start with fairly low amplitudes, which can adequately be treated with small perturbation linear theory, several PIO's will by definition become very large.
15.
As can be seen above, many wave quantities like surface elevation and orbital velocity are oscillatory in nature with zero mean ( within the framework of linear theory ).
16.
However, in experiments, Couette flow is found to be unstable to small, but " finite, " perturbations for which the linear theory, and the Orr Sommerfeld equation do not apply.
17.
Such a process model depicts the linear theory as a conceptual driver of change, which must, to remain useful, be accompanied not only by taking action but also by evaluation and recalibration.
18.
The use of the word linear in the title refers to de Finetti's arguments that probability theory is a linear theory ( de Finetti argued against the more common measure theory approach ).
19.
With his students, developed the linear theory of stability of classical figures of equilibrium in collisionless stellar systems, and laid the foundations of the nonlinear theory of stability and turbulence of gravitating media.
20.
The most common generalization of the linear theory above is to add a scalar potential to the Lagrangian, where typically, in addition to a mass term, " V " is a polynomial in.
