INVESTIGATION OF QUALITATIVE PROPERTIES OF THE NON-DIVERGENT CROSS-DIFFUSION PROBLEM WITH SOURCE AND VARIABLE DENSITY IN TWO-COMPONENT MEDIA IN CRITICAL CASES

Authors

  • Jamshid Ozodovich Xasanov Urgench state university

DOI:

https://doi.org/10.17605/OSF.IO/CHABF

Keywords:

cross-diffusive system, non-divergence form, global solutions.

Abstract

In this paper, we study the properties of self-similar solutions of a cross-diffusion parabolic system. The asymptotic behavior of self-similar solutions are analyzed for both the slow and fast diffusive regimes. It is shown that coefficients of the main term of the asymptotic of solution satisfy some system of nonlinear algebraic equations.

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Published

2023-05-31

How to Cite

Jamshid Ozodovich Xasanov. (2023). INVESTIGATION OF QUALITATIVE PROPERTIES OF THE NON-DIVERGENT CROSS-DIFFUSION PROBLEM WITH SOURCE AND VARIABLE DENSITY IN TWO-COMPONENT MEDIA IN CRITICAL CASES. Web of Scientist: International Scientific Research Journal, 4(5), 1091–1099. https://doi.org/10.17605/OSF.IO/CHABF

Issue

Vol. 4 No. 5 (2023): wos

Section

Articles

License

Copyright (c) 2023 Web of Scientist: International Scientific Research Journal

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.