Mersaid Aripov, Shakhlo A. Sadullaeva, “To properties of solutions to reaction-diffusion equation with double nonlinearity with distributed parameters”, J. Sib. Fed. Univ. Math. Phys., 6:2 (2013), 157

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor
	Guidelines for authors

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

J. Sib. Fed. Univ. Math. Phys.:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

J. Sib. Fed. Univ. Math. Phys., 2013, Volume 6, Issue 2, Pages 157–167 (Mi jsfu307)

This article is cited in 4 scientific papers (total in 4 papers)

To properties of solutions to reaction-diffusion equation with double nonlinearity with distributed parameters

Mersaid Aripov^a, Shakhlo A. Sadullaeva^b

^a National University of Uzbekistan, Tashkent, Uzbekistan
^b Tashkent University of Information Technologies, Tashkent, Uzbekistan

Abstract: The properties of solutions of self-similar and approximately self-similar system of the reaction-diffusion with double nonlinearity are investigated. The influence of numerical parameters to an evolution of the studied process is established. The existence of finite and quenching solutions is proved and their asymptotic behavior at the infinity is described. The condition of global solvability to the Cauchy problem, generalizing the results of other authors, is found. Knerr–Kersner type estimate for free boundary is obtained. The results of numerical experiments are enclosed.

Keywords: reaction-diffusion equation, double nonlinearity, free boundary.

Full-text article is available

Full text: PDF file (787 kB)

References: PDF file HTML file
UDC: 517.9
Received: 13.02.2013
Received in revised form: 27.02.2013
Accepted: 27.02.2013
Language:

Citation: Mersaid Aripov, Shakhlo A. Sadullaeva, “To properties of solutions to reaction-diffusion equation with double nonlinearity with distributed parameters”, J. Sib. Fed. Univ. Math. Phys., 6:2 (2013), 157–167

Citation in format AMSBIB

\Bibitem{AriSad13}

\by Mersaid~Aripov, Shakhlo~A.~Sadullaeva

\paper To properties of solutions to reaction-diffusion equation with double nonlinearity with distributed parameters

\jour J. Sib. Fed. Univ. Math. Phys.

\yr 2013

\vol 6

\issue 2

\pages 157--167

\mathnet{http://mi.mathnet.ru/jsfu307}

Linking options:

http://mi.mathnet.ru/eng/jsfu307

http://mi.mathnet.ru/eng/jsfu/v6/i2/p157

SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:

Jakhongir R. Raimbekov, “The properties of the solutions for Cauchy problem of nonlinear parabolic equations in non-divergent form with density”, Zhurn. SFU. Ser. Matem. i fiz., 8:2 (2015), 192–200
Shahlo A. Sadullaeva, “Numerical investigation of solutions to a reaction-diffusion system with variable density”, Zhurn. SFU. Ser. Matem. i fiz., 9:1 (2016), 90–101
Z. R. Rakhmonov, A. I. Tillaev, “On the behavior of the solution of a nonlinear polytropic filtration problem with a source and multiple nonlinearities”, Nanosyst.-Phys. Chem. Math., 9:3 (2018), 323–329
Mersaid M. Aripov, Jakhongir R. Raimbekov, “The critical curves of a doubly nonlinear parabolic equation in non-divergent form with a source and nonlinear boundary flux”, Zhurn. SFU. Ser. Matem. i fiz., 12:1 (2019), 112–124

Журнал Сибирского федерального университета. Серия "Математика и физика"

Number of views:
This page:	297
Full text:	106
References:	33

What is a QR-code?

Registration

Logotypes