PROPERTIES OF SOLUTIONS OF A NONLINEAR CROSS-DIFFUSION SYSTEM WITH VARIABLE DENSITY AND SOURCE
Keywords:
Systems of equations, heat transfer equations, reaction-diffusion equations system, construction of a self-similar solution.Abstract
In this work, new properties of a radially symmetric self-similar solution of the double nonlinear heat system of equations with the source were obtained. A self-similar and approximately self-similar solution was derived using the method of standard system of equations. These properties were proved by regulating the solution of the approximately self-similar system of equation relative to the parameter of the nonlinear source by adding an additional parameter. The obtained properties were verified by numerical experiments
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