Sentence examples for criterion of the solution from inspiring English sources

We obtain a regularity criterion of the solution for the generalized MHD equations in terms of the summation of the velocity field u and the magnetic field b by means of the Littlewood-Paley theory and the Bony paradifferential calculus, which extends the previous result.

Therefore, it is interesting to study the blow-up criterion of the solutions for system (1.1).

This leads to restrictions and specific procedures in the application of second-order beam theory with a first-hinge criterion, to the solution of 3-D stability problems.

Balaj and Lin [18] established existence criteria for the solutions of two very general types of variational relation problems.

Remark 2.1 Balaj and Lin [14] established existence criteria for the solutions of two very general types of variational relation problems.

Subsequently, a fault estimator is designed to achieve the specified H∞ performance criterion in terms of the solution to a set of Riccati difference equations.

Following the preparative theorem in Section 2, in Section 3, we state and prove the main result, that is, the sufficient criterion of the existence of solutions for BVP (1.1).

We consider a Keller-Segel-Euler model and prove a regularity criterion of the local strong solutions in a 3D bounded domain Ω.

Isentropic efficiency ηs which maximum level corresponds to the gas final temperature minimum of the stage exhaust chamber Tf is accepted as the perfection criterion of the obtained engineering solutions.

The conflicting nature of these two criteria makes the solution of the problem difficult.

In this case, the criterion of the mediator determines directly the solution.