Sentence examples for by the initial data from inspiring English sources

The numerical schemes we employ are conservative (see e.g., Leveque 1992), and therefore preserve the value of the rest mass to the one determined by the initial data.

When (trightarrow0), the solution (46) of the Cauchy problem (5 - 6) is bounded by the initial data biglVert u x,t) bigrVert _{L^{p}(R)} leq biglVert u x,0) bigrVert _{L^{p}(R)}, quad xin R, pgeq1.

In the case k r = 0, f = 1, the total number of receptors is conserved by (46)–(52), and so determined by the initial data imposed, not by the Eqs.

The analysis of polarization curves includes the determination of the OCV by considering the mixed potential at the oxygen electrode by fitting the initial data with an arbitrary oxidation reaction.

They proved global existence as well as blow-up of solutions in finite time by taking the initial data inside the potential well [11].

Thus, by projecting the initial data on the first eigenvector, we obtain the first extracted wavefield (wave 1) (Figure 10) and on the second eigenvector, the second extracted wavefield (wave 2) (Figure 11).

If we solve recursively for this equation in terms of an integer power series by using the initial data, then the resulting solution will tend to the solutions of the second order linear differential equation: (533).

To understand the impact of atmospheric conditions and the convective effects on the TC environment and precursor disturbance, five simulations were performed by varying the initial data (ECMWF YOTC, NCEP FNL) and cloud microphysics settings (mp1 4).

Because the mapping process is embarrassingly parallel (i.e. the read-pairs are independent of each other and thus can be aligned independently) it is possible to distribute the work over many nodes (e.g. by splitting the initial data into chunks to process them in parallel).

Because some radiation is absorbed by the tissues, the initial data processed by the CT computer system is in fact shadow projections of the absorption from various angles.

The existence and uniqueness results for the global weak solutions of the Camassa-Holm model have been proved by Constantin and Escher [17] and Danchin [18], [19] by assuming that the initial data satisfy the sign condition.