GLOBAL SOLVABILITY SOLUTIONS OF A CROSS-DIFFUSION PARABOLIC SYSTEM

Authors

  • Sayyora Orif qizi Aripova National University of Uzbekistan, Tashkent, Uzbekistan,

Keywords:

cross-diffusive system, Cauchy problem, global solvability, comparison principle.

Abstract

In this paper, we study the properties of self-similar solutions of a cross-diffusion parabolic system. In particular, we find the self-similar supersolution and subsolution to obtain the critical global existence curve.

References

Aripov M. Raxmonov Z. Mathematical modeling of heat conduction processes in the environment with double non-linearity (Monography), Tashkent, 2021, 144 pp.

Aripov M. Sadullaeva Sh. A. Computer modeling of nonlinear processes of diffusion (Monography), Tashkent, 2020, 670 pp.

Yongsheng Mi, Chunlai Mu, Botao Chen. Critical exponents for a doubly degenerate parabolic system coupled via nonlinear boundary flux. J. Math. Anal. Appl. J. Korean Math. Soc. 48 (2011), No. 3, pp. 513–527.

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Published

2022-05-15

How to Cite

Aripova , S. O. qizi. (2022). GLOBAL SOLVABILITY SOLUTIONS OF A CROSS-DIFFUSION PARABOLIC SYSTEM. INTERNATIONAL СONFERENCE ON LEARNING AND TEACHING, 1(7), 276–279. Retrieved from https://researchedu.org/index.php/iclt/article/view/2395

Issue

Vol. 1 No. 7 (2022): INTERNATIONAL СONFERENCE ON LEARNING AND TEACHING 2022/7

Section

Articles

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