Abstract:
The critical curves of a doubly nonlinear parabolic equation in non-divergent form with a source and nonlinear boundary flux are considered in the paper. The critical global existence curve and the critical Fujita curve are obtained.
Keywords:
doubly nonlinear parabolic equation in non-divergence form, critical Fujita curve, critical global existence curve.
Received: 04.08.2018 Received in revised form: 19.09.2018 Accepted: 20.10.2018
Bibliographic databases:
Document Type:
Article
UDC:517.957
Language: English
Citation:
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”, J. Sib. Fed. Univ. Math. Phys., 12:1 (2019), 112–124
\Bibitem{AriRai19}
\by Mersaid~M.~Aripov, Jakhongir~R.~Raimbekov
\paper The critical curves of a doubly nonlinear parabolic equation in non-divergent form with a source and nonlinear boundary flux
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2019
\vol 12
\issue 1
\pages 112--124
\mathnet{http://mi.mathnet.ru/jsfu728}
\crossref{https://doi.org/10.17516/1997-1397-2019-12-1-112-124}
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Linking options:
https://www.mathnet.ru/eng/jsfu728
https://www.mathnet.ru/eng/jsfu/v12/i1/p112
This publication is cited in the following 13 articles:
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Sayfiddin Bakhromov, NOVEL TRENDS IN RHEOLOGY IX, 2997, NOVEL TRENDS IN RHEOLOGY IX, 2023, 020069
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Mersaid Aripov, Alisher Matyakubov, Jamshid Xasanov, NOVEL TRENDS IN RHEOLOGY IX, 2997, NOVEL TRENDS IN RHEOLOGY IX, 2023, 020005
Mersaid Aripov, Dilobar Nigmanova, NOVEL TRENDS IN RHEOLOGY IX, 2997, NOVEL TRENDS IN RHEOLOGY IX, 2023, 020036
Zheng Ya., Fang Zh.B., “Critical Curves For a Fast Diffusive P-Laplacian Equation With Nonlocal Source”, Appl. Anal., 101:9 (2022), 3389–3409
Alisher Matyakubov, Dilmurod Raupov, Lecture Notes in Civil Engineering, 180, Technological Advancements in Construction, 2022, 289
Zheng Ya., Fang Zh.B., “New Critical Curves For a Doubly Degenerate Parabolic Equation in Half-Line”, Appl. Anal., 2021
M. M. Aripov, Sh. A. Sadullayeva, M. Z. Sayfullayeva, “To mathematical modeling of nonlinear problem biological population in nondivergent form with variable density”, International Conference on Analysis and Applied Mathematics (ICAAM 2020), AIP Conf. Proc., 2325, eds. A. Ashyralyev, C. Ashyralyyev, A. Erdogan, A. Lukashov, M. Sadybekov, Amer. Inst. Phys., 2021, 020064
Mirsaid Aripov, Oybek Djabbarov, Shakhlo Sadullaeva, INTERNATIONAL UZBEKISTAN-MALAYSIA CONFERENCE ON “COMPUTATIONAL MODELS AND TECHNOLOGIES (CMT2020)”: CMT2020, 2365, INTERNATIONAL UZBEKISTAN-MALAYSIA CONFERENCE ON “COMPUTATIONAL MODELS AND TECHNOLOGIES (CMT2020)”: CMT2020, 2021, 060008
M Aripov, A S Matyakubov, J O Khasanov, M M Bobokandov, “Mathematical modeling of double nonlinear problem of reaction diffusion in not divergent form with a source and variable density”, J. Phys.: Conf. Ser., 2131:3 (2021), 032043
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