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The evolutionary behavior of the weak shocks in a non-ideal gas is described using the truncation approximation.
We note that an immediate consequence of (3.3) cannot reveal the complete history of the evolutionary behavior of the shocks under consideration because of the appearance of an unknown entity.
In another recent work, Pasqua et al. [53] reconstructed the potential and the dynamics of the tachyon, K-essence, dilaton, and quintessence scalar field models according to the evolutionary behavior of the interacting logarithmic entropy-corrected holographic RDE model.
The role of oxygen addition to steam gasification of chicken manure at different concentrations was examined and evolutionary behavior of the gases evolved with time were analyzed using gas chromatography.
It is evident from the transport equation for the shock strength that the evolutionary behavior of the shock strength is described by the shock curvature, the internal volume (b) of the gas, and the first order-induced discontinuity behind the shock.
It is clear from (3.3) that the evolutionary behavior of the shocks at any time t depends not only on the strength of the shock, its curvature, and the specific heat ratio γ, but also on the pressure gradient [p x ] immediately behind the wave.
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Under these assumptions, the transport equations are solved exactly to the leading order once the strength of the accompanying second order discontinuity is neglected, and the evolutionary behavior of both the shock and the associated first-order discontinuity is completely analyzed.
In the present paper, the evolutionary behavior of PCGs, at both the nucleotide and amino acid levels, was studied in a combined analysis based on the calculation/estimation of p-distances, effective number of codon usage (ENC), phylogenetic signal and the saturation of the substitution process present in single/combined PCGs.
To further differentiate the evolutionary behavior of directed and neutral links, we investigated the association of the distance between two proteins in the network with their evolution rate.
The study of the evolutionary behavior of non-linear waves in diverse branches of continuum mechanics has long been a subject of great interest from both mathematical and physical points of view.
In this paper, the evolutionary behavior of downburst winds is examined in the time frequency domain using both stationary wavelet transform and Hilbert transform.
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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