№4 (35), 2015. INFORMATION TECHNOLOGY, COMPUTER SCIENCE AND CONTROL

Uvarova L.A., Galakhov E.I., Zarelua A.V., Salieva O.A., Deviaterikova E.A.

Predicting of a blow-up situation emergence for nonlinear heat transfer equation with source

The necessary conditions of the Cauchy problem classic solution existence are considered for nonlinear heat transfer equation with source. A method is suggested for estimating the critical parameters of the problem and for predicting the emergence of a blow-up situation. The method is applied for a sufficiently large class of empirical temperature dependences of coefficients of the equation.

Keywords: mathematical modeling, blow-up, non-linear heat transfer, dispersion mediums.

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