Numerical Simulate For A Class Of MHD Equations Problem's Blow-up Criterion

The magneto-?uid dynamics take the hydromechanics and the electro-dynamics as foundation, it set up the ?ow field equation and the equation ofelectromagnetic field association, the same time, introduce many new char-acteristic processes.So,the magneto-?uid dynamics'content is rich. Rightnow, the magneto-?uid dynamics have relationships with many branchesof Physics,nuclear power,chemistry, metallurgy,astronautics. Conducts thiskind of research to revise to the classical hydromechanics, with the aim ofobtaining the magneto-?uid dynamics basic equation set. The magneto-?uiddynamics basic equation set has the misalignment, and contains the equa-tion integer to be also many, therefore solution di?culty. Generally theapplication dimensional analysis and the law of similarity obtain attributea physical question the similar accurate number, and the abbreviated equa-tion, then obtains has the use value solution. After the solution simplifiesthe equation set nothing more than is the analytic method and the numericalmethod. May solve the complex question using the computer technology andthe computation hydromechanics method.Blow-up criterion is important content of magneto-?uid dynamics"Inthis paper,we calculate that has the di?erent initial values magnetohydro-dynamics equations with method of computation.The di?erent initial val-ues are smooth little initial value,smooth initial value,non-smooth initialvalue.Compaereing the di?erent results that could make us know blow-upcriterion directly.