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In this paper the geometric singular perturbation theory is employed to illuminate the transition of the solution trajectory.
Results include new details of the transition of the solution from the nonselfsimilar region to the selfsimilar region.
On the basis of geometric singular perturbation theory, the transition of the solution trajectory is illustrated, and the existence of the relaxation oscillation with a rapid movement process alternating with a slow movement process is proved.
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The analysis of the data seems to prove the existence of a different concentration region where the structural transition of the solutions greatly influences the ionic mobility.
Herein, we provide a brief historical perspective on the evolution of this important technique in the fluid mechanics community, its transition to the solution of solid mechanics boundary-value problems initiated in Europe in 1988, and the recent developments aimed at the solution of unit cell problems of periodic heterogeneous media.
The phase transformation from precritical nuclei to nuclei is a solid-to-solid transition, independent of the solution supersaturation.
Figures 10(a) and 11(a) show that the sharp transitions of the solutions are reasonably captured without numerical failure.
However, too high moisture content during the process, due generally to insufficient drying or the use of a temperature above glass transition of the polymer solution, usually induces particle agglomeration.
We find that the nanobelt yield and resulting structures are very sensitive to temperature which is likely due to the transition of the surfactant solution from wormlike micelles to spherical micelles.
The sol gel transition of the copolymer solutions occurred reversibly within 1 min in response to temperature.
In addition, the phase transition of the polypeptoid solutions can be very sharp (ΔT < 5 °C), which is comparable to poly N-isopropylacrylamide) (poly N-isopropylacrylamide
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