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On the existence of solutions of a nonlinear integro-differential system of transport equations

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Abstract

We consider the system of equations describing transport processes in inhomogeneous distributed media, such as those in nuclear reactors. For a given system of equations, a mixed problem is posed. Under certain conditions on the initial data, we prove the global solvability of the problem in the weak generalized sense by using the standard scheme of nonlinear functional analysis.

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Authors and Affiliations

  1. Dimitrovgrad Branch, Ul’yanovsk State University, Ulyanovsk, Russia

    R. S. Makin

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  1. R. S. Makin
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Correspondence to R. S. Makin.

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Original Russian Text © R. S. Makin, 2011, published in Matematicheskie Zametki, 2011, Vol. 90, No. 1, pp. 113–136.

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Makin, R.S. On the existence of solutions of a nonlinear integro-differential system of transport equations. Math Notes 90, 102 (2011). https://doi.org/10.1134/S000143461107011X

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