Article

On a Uniqueness of Solution for a Reaction-Diffusion Type System with a Free Boundary

A. N. ElmurodovRomanovskii Institute of Mathematics, Academy of Sciences of Uzbekistan, 100174, Tashkent, UzbekistanM. S. RasulovRomanovskii Institute of Mathematics, Academy of Sciences of Uzbekistan, 100174, Tashkent, Uzbekistan

Lobachevskii Journal of Mathematicsjournal2022en

ABI

Abstract

In this paper, the mixed two-phase Stefan problem for a system of reaction-diffusion equations is considered. The behavior of free boundaries is studied. A priori estimates of Schauder type are established, on the basis of which the unique solvability of the problem is proved.

Topics

Differential Equations and Numerical Methods Advanced Mathematical Modeling in Engineering Differential Equations and Boundary Problems

Identifiers

DOI: 10.1134/s1995080222110087

Citations and references

Cited by 8 34 references

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