Sentence examples for exists a global from inspiring English sources

There exists a global threat for the existing antimicrobial agents due to the widespread emergence of microbial drug resistance.

Then there exists a global solution u to (3.2).

Then there exists a global smooth solution of the initial value problem (6 - 9).

By Proposition 1.3, there exists a global solution of Eq. (1.1).

There exists a global attractor (mathcal{A}) of bounded sets in (mathscr{X}).

Finally, we can conclude that in ([34], p. 130, Sec. 4.1.3), there exists a global minimum for the original problem.

Observations from the two Voyager spacecraft inside the heliosheath indicate significant differences between them, suggesting that apart from the dynamic nature caused by changing solar activity there also may exist a global asymmetry in the north south (polar) dimensions of the heliosphere, in addition to the expected nose tail asymmetry.

Chen [29] shows that the initial boundary value problem for the strongly damped quasilinear wave equation has a global solution and that there exists a compact global attractor with finite dimension.

Therefore, we can continue the local solution globally in time and deduce that there exists a unique global solution ((rho^{delta},u^{delta})) of the Cauchy problem (3.3) with ((rho_{0},u_{0})) replaced by ((rho_{0}^{delta},u_{0}^{delta})), which is carried out as in [9].

Now, an application of the classical result shows that for any T > 0, there exists a unique global smooth solution ( u ε, b ε ) of (12 - 15 12 - 15 × ( 0, T ) satisfying the glonal bounds stated in Lemma 2.2 and 2.3, which aRe uniform in ε.

Now, an application of the result of Sect. 3 in [32] in p. 934 shows that, for any (T>0), there exists a unique global smooth solution ((u^{varepsilon}_{1},u^{varepsilon}_{2},theta^{varepsilon})) of (2.20), (2.21) on (mathbb{R}^{2}times 0,T)) satisfying the global bounds stated in Lemmas 2.4 2.5 which are uniform in ε.