Article

On a free boundary problem for the relaxation transfer equation

J. O. TakhirovRomanovsky Institute of Mathematics, Academy of Sciences of the Republic of Uzbekistan, Tashkent, UzbekistanMasudkhon Turakhonovich UmirkhonovRomanovsky Institute of Mathematics, Academy of Sciences of the Republic of Uzbekistan, Tashkent, Uzbekistan

Theoretical and Mathematical Physicsjournal2021en

ABI

Abstract

We study the free boundary problem with no initial conditions for a third-order relaxation transfer equation. First, we reduce the problem to a second-order equation and prove the uniqueness theorem. The solution of this problem is constructed as a limit of solutions of corresponding problems that are first reduced to a Stefan-type problem with initial conditions. Free boundary behavior is explored.

Topics

Numerical methods in inverse problems Thermoelastic and Magnetoelastic Phenomena Differential Equations and Boundary Problems

Identifiers

DOI: 10.1134/s0040577921100093

Citations and references

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