Sentence examples for proved blow from inspiring English sources

Later, Yu proved blow up of the solution for the critical case (E(0)=d) in [10].

We do not apply any of the results known in the literature about differential inequalities commonly used to prove blow-up.

The success of our result is based in a detailed analysis which is different from the ones commonly used to prove blow-up.

Under sufficient conditions that involve upper bounds of the initial energy (E u_{0},v_{0})), there are several recent works that prove blow-up of solutions of equations of the type (1) with high initial energies.

After the work of Payne and Sattinger [2], several contributions have been published proving blow-up and globality of solutions of various types of equations by means of the potential well method.

The main tool in proving blow-up result is the 'concavity method' where the basic idea of the method is to construct a positive defined functional (F t)) of the solution by the energy inequality and show that (F^{-alpha}(t)) is a concave function of t.

Politically, news of Mr. Zuma's affair has proved a blow.

Sunday's 2-0 defeat at Everton proved one blow too many for Moyes, who remains furious at his treatment by the Old Trafford hierarchy, in particular executive vice-chairman Ed Woodward.

We proved that blow-up can occur for initial energies (E u_{0},v_{0}) > eta_{q}, 0 < q lefrac{r-2}{2}).

For instance, Messaoudi [2] studied (1.1) and proved a blow-up result for solutions with negative initial energy if (p>qgeq2) and a global result for (2leq pleq q).

Meanwhile, similar to [2], he also proved the blow-up of the solution in finite time with negative initial energy, using the technique of appropriate modification for energy functional.