Article

Free Boundary Problem for a System of Parabolic Equations of the Reaction-Diffusion Type

M. S. RasulovNational Research University Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, 100000, Tashkent, Republic of Uzbekistan

Russian Mathematicsjournal2025en

ABI

Abstract

This paper considers a free boundary problem for a system of quasi-linear parabolic equations in one dimension. Nonlinear problems with a free boundary are studied using a method based on constructing a priori estimates. For the solutions to the problem, a priori estimates of Shauder type are established. On the basis of a priori estimates, the existence and uniqueness theorems are proved.

Topics

Differential Equations and Numerical Methods Advanced Mathematical Modeling in Engineering Stability and Controllability of Differential Equations

Identifiers

DOI: 10.3103/s1066369x2570015x

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