Sentence examples for smooth solutions of from inspiring English sources

The smooth solutions of these equations are energy conservative, whereas weak solutions are energy stable.

Then spatial derivatives of smooth solutions of (1.2) blow up in finite time.

Finally, letting and in (3.5) we see that, are smooth solutions of (1.1).

In [155] the following characterization of the space of smooth solutions of the transport equation was given.

Thus we have the following existence and uniqueness theorems for the local smooth solutions of problem (1 - 5).

Ali and Jüngel [10] studied the global smooth solutions of Cauchy problem for multidimensional hydrodynamic models for two-carrier plasma.

We note that the smooth solution of (2.2 - 2.3 2.2 - 2.3e.

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

Then there exists a unique global smooth solution of the initial value problem (3 - 5).

are equal, respectively, to the smooth solution of corresponding classical functional equations (1.3) and (1.4).

Let ((u t,x), b t,x))) be a local smooth solution of system (1.1).