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ИСТИНА ЦЭМИ РАН |
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The conditions for the existence of a solution in a form of a two-dimensional moving front for the reaction-advection-diffusion problem in the case of small of diffusion coefficient and large advective term are formulated. An asymptotic approximation in powers of a small parameter of such a solution is constructed. The proof of the existence of a solution approximated by the asymptotics constructed is provided. For the last purpose the asymptotical method of differential inequalities is used