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3) Both analytical and numerical methods are proposed to get stationary solutions of CFPEs.
If you stay in the same place, it'll slow down the frequency of notifications; if you regularly get stationary at certain times, like at 9am when you get to work, it'll also take that into account.
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"We've got stationary bikes.
Getting Stationary is simple.
The conditions C1 and C2 ensure that X is stationary, and from Kolmogorov forward equation we can get the stationary density (p(x)) of X: p(x) = frac{{s(x)}}{{int_{l}^{u} {s(x),dx} }} = frac{xi }{{{sigma ^{2}}(x)}}exp biggl{ { int_{{z_{0}}}^{x} {frac{{2mu (x)}}{{{sigma ^{2}}(x)}},dx} } biggr}, where (z_{0}) is an arbitrary point inside ({mathcal {D}}) and ξ is a normalizing constant.
The above two level set-based energy functional [13, 14] can get a stationary global minimum.
The method has an advantage that it can get a stationary global minimum.
It is important to get the stationary solutions of CFPEs, which provide the initial and final conditions for state equations.
If is an even periodic function with respect to and odd with respect to, in order to get the stationary spatial periodic solutions of (1.2), one turns to study the two points boundary-value problem (1.1).
From equation (39), we get the stationary Rayleigh number as Ra s = ( 1 + M + 36 5 Da ˜ ) [ J Le A 1 − N A Le J 2 N B Le J T ϕ ] α 2 12 A 2 − 2 Rn N A Le J 2 J T W + J ϕ W ε A 1 A 2, (40).
To get a stationary solution, we now transform the coordinates to the frame of reference of soliton through ζ = g I η - U ξ, where g I - 1 is the width and U is the shift [35] in the velocity when the wave evolves as a soliton.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com