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Journal of Siberian Federal University. Mathematics & Physics, 2019, Volume 12, Issue 5, Pages 614–620
DOI: https://doi.org/10.17516/1997-1397-2019-12-5-614-620
(Mi jsfu794)
 

This article is cited in 13 scientific papers (total in 13 papers)

On a problem of cross-diffusion with nonlocal boundary conditions

Zafar R. Rakhmonova, Jasur E. Urunbayevb

a National University of Uzbekistan, University, 4, Tashkent, 100174, Uzbekistan
b Samarkand State University, University Blvd., 15, Samarkand, 140104, Uzbekistan
References:
Abstract: Condition of global existence of solution of a non-linear system of cross-diffusion with non-linear boundary conditions is studied in the paper. Critical exponents of Fujita type and critical exponents of global existence of solution are established.
Keywords: nonlinear parabolic system, cross-diffusion, critical Fujita curve, blow-up.
Received: 01.04.2019
Received in revised form: 15.06.2019
Accepted: 20.08.2019
Bibliographic databases:
Document Type: Article
UDC: 517.957
Language: English
Citation: Zafar R. Rakhmonov, Jasur E. Urunbayev, “On a problem of cross-diffusion with nonlocal boundary conditions”, J. Sib. Fed. Univ. Math. Phys., 12:5 (2019), 614–620
Citation in format AMSBIB
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\by Zafar~R.~Rakhmonov, Jasur~E.~Urunbayev
\paper On a problem of cross-diffusion with nonlocal boundary conditions
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2019
\vol 12
\issue 5
\pages 614--620
\mathnet{http://mi.mathnet.ru/jsfu794}
\crossref{https://doi.org/10.17516/1997-1397-2019-12-5-614-620}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000501589200010}
Linking options:
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  • https://www.mathnet.ru/eng/jsfu/v12/i5/p614
  • This publication is cited in the following 13 articles:
    1. Zafar Rakhmonov, Akram Alimov, Jasur Urunbaev, INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2022), 3085, INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2022), 2024, 020032  crossref
    2. Abrorjon Mamatov, Aziza Nurumova, PROBLEMS IN THE TEXTILE AND LIGHT INDUSTRY IN THE CONTEXT OF INTEGRATION OF SCIENCE AND INDUSTRY AND WAYS TO SOLVE THEM: PTLICISIWS-2, 3045, PROBLEMS IN THE TEXTILE AND LIGHT INDUSTRY IN THE CONTEXT OF INTEGRATION OF SCIENCE AND INDUSTRY AND WAYS TO SOLVE THEM: PTLICISIWS-2, 2024, 060002  crossref
    3. Abrorjon Mamatov, Aziza Nurumova, INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE ON ACTUAL PROBLEMS OF MATHEMATICAL MODELING AND INFORMATION TECHNOLOGY, 3147, INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE ON ACTUAL PROBLEMS OF MATHEMATICAL MODELING AND INFORMATION TECHNOLOGY, 2024, 030001  crossref
    4. Abdugapor Khaydarov, Abrorjon Mamatov, NOVEL TRENDS IN RHEOLOGY IX, 2997, NOVEL TRENDS IN RHEOLOGY IX, 2023, 020067  crossref
    5. Abrorjon Mamatov, THE 15TH UNIVERSITI MALAYSIA TERENGGANU ANNUAL SYMPOSIUM 2021 (UMTAS 2021), 2746, THE 15TH UNIVERSITI MALAYSIA TERENGGANU ANNUAL SYMPOSIUM 2021 (UMTAS 2021), 2023, 060014  crossref
    6. Mersaid Aripov, Odiljon Atabaev, “ON THE BLOWING-UP OF SOLUTIONS OF ONE DEGENERATE CROSS-WISE SYSTEM WITH NONLINEAR BOUNDARY CONDITIONS”, VOGUMFT, 2023, no. 2(3), 158  crossref
    7. A U Mamatov, A Yu Nurumova, “Modeling of nonequilibrium cross-diffusion systems”, J. Phys.: Conf. Ser., 2388:1 (2022), 012027  crossref
    8. Alisher Matyakubov, Dilmurod Raupov, Lecture Notes in Civil Engineering, 180, Technological Advancements in Construction, 2022, 289  crossref
    9. Saida Beknazarova, Shahlo Sadullaeva, Ruslan Bazhenov, Gulshan Qayumova, Mekhriban Jaumitbayeva, 2021 ASIA-PACIFIC CONFERENCE ON APPLIED MATHEMATICS AND STATISTICS, 2471, 2021 ASIA-PACIFIC CONFERENCE ON APPLIED MATHEMATICS AND STATISTICS, 2022, 060003  crossref
    10. Z. R. Rakhmonov, J. E. Urunbaev, A. A. Alimov, INTERNATIONAL CONFERENCE ON ACTUAL PROBLEMS OF APPLIED MECHANICS - APAM-2021, 2637, INTERNATIONAL CONFERENCE ON ACTUAL PROBLEMS OF APPLIED MECHANICS - APAM-2021, 2022, 040008  crossref
    11. Abrorjon Mamatov, Aziza Nurumova, 2021 ASIA-PACIFIC CONFERENCE ON APPLIED MATHEMATICS AND STATISTICS, 2471, 2021 ASIA-PACIFIC CONFERENCE ON APPLIED MATHEMATICS AND STATISTICS, 2022, 050031  crossref
    12. Zafar Rakhmonov, Roman Parovik, Akram Alimov, INTERNATIONAL UZBEKISTAN-MALAYSIA CONFERENCE ON “COMPUTATIONAL MODELS AND TECHNOLOGIES (CMT2020)”: CMT2020, 2365, INTERNATIONAL UZBEKISTAN-MALAYSIA CONFERENCE ON “COMPUTATIONAL MODELS AND TECHNOLOGIES (CMT2020)”: CMT2020, 2021, 060022  crossref
    13. Beknazarova Saida Safibullaevna, Abdurakhmanov Kaxar Patahovich, Sadullaeva Shahlo Azimbayevna, Beknazarov Kamoliddin Tursunnulatovich, 2020 International Conference on Information Science and Communications Technologies (ICISCT), 2020, 1  crossref
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