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Exact(15)
To further improve the regularity of u, we recall some technical lemmas in [1, 16, 17].
To improve the regularity of the magnetic fields, we need the following result on the elliptic system.
Precisely, the lower bound of (mu(rho)) and (nu(rho)) will be used to improve the regularity of the velocity u and the magnetic fields b, respectively.
To improve the regularity of pore arrangement of porous alumina, two-step anodization [27] or nanoindentation process [28] are found to be a useful technique.
In the following, in order to improve the regularity of the velocity, we need to use the estimates of the Stokes equations.
Comparison of the results in Figures 5 and 6 makes it very clear that the multi-step AAO method can improve the regularity more easily than the high applied voltage.
Similar(45)
"The baby's head pushing down on the cervix improves the regularity and intensity of contractions," she said.
As an example of application, we apply our theorem to a control and a Cauchy problem for quasi-linear perturbations of KdV equations, improving the regularity of a previous result.
It allows us to circumvent difficulties stemming from the fact that the evolution does not improve the qualitative regularity of the initial data.
Next, we will apply (12) and (13) to improve the higher regularity on the velocity u and magnetic fields B, respectively.
Moreover, the CSPs could act as morphological modifiers to efficiently improve the microporous regularity of polystyrene films, even at a low CSP content of 0.8 wt%.
More suggestions(16)
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com