Sentence examples for time of solutions from inspiring English sources

Finally, we obtain existence result of global solutions with exponential decay and show the blow-up in finite time of solutions.

We study the asymptotic behavior for large time of solutions to the Cauchy problem for the generalized Korteweg de Vries (gKdV) equationut+(|u|ρ−1 u)x+13uxxx=0, wherex, t∈Rwhen the initial data are small enough.

The aim of this study is to prove the global existence in time of solutions for reaction-diffusion systems.

When p is a fixed constant, authors in [12 14] studied extinctions in finite time, blowing-up in finite time of solutions.

For example, Vishnevskiĭ [9] studied the behavior at large time of solutions to mixed problems for weakly connected cooperative parabolic systems and obtained the monotonicity of the solutions.

In [1], they obtained the lower bound for the blow-up time of solutions in a bounded domain (Omegainmathbb{R}^{N}) for (N=3).

Watthanaphanit, A., Heo, Y. K. & Saito, N. Influence of the discharge time of solution plasma process on the formation of gold nanoparticles in alginate matrix.

MFE magnitude depends on magnetic field intensity, while other parameters are also important, including: initial MB concentration, settling time of solution, and level/state of dissolved oxygen (DO).

FE-SEM images of the mats indicate that the nanofiber diameter gradually decreased with the standing time of solution, and large numbers of true nano fibers (<50 nm in diameter) were obtained.

Next, to meet further demands of complex modeling of supercapacitor modules, mentioned abilities (accuracy of simulation results and fast computation time of solution) must be as lowest as possible.

where T is the maximal existence time of solution, then q ( t, ⋅ ) is a diffeomorphism of the line.