The cauchy problem for a nonlinear degenerate parabolic system in non

Standard

The cauchy problem for a nonlinear degenerate parabolic system in non–divergence form. / Aripov, Mersaid; Matyakubov, Alisher S.; Imomnazarov, Bunyod Kh.

In: Mathematical Notes of NEFU, Vol. 27, No. 3, 2020, p. 27-38.

Research output: Contribution to journal › Article › peer-review

Harvard

Aripov, M, Matyakubov, AS & Imomnazarov, BK 2020, 'The cauchy problem for a nonlinear degenerate parabolic system in non–divergence form', Mathematical Notes of NEFU, vol. 27, no. 3, pp. 27-38. https://doi.org/10.25587/SVFU.2020.93.40.003

APA

Aripov, M., Matyakubov, A. S., & Imomnazarov, B. K. (2020). The cauchy problem for a nonlinear degenerate parabolic system in non–divergence form. Mathematical Notes of NEFU, 27(3), 27-38. https://doi.org/10.25587/SVFU.2020.93.40.003

Vancouver

Aripov M, Matyakubov AS, Imomnazarov BK. The cauchy problem for a nonlinear degenerate parabolic system in non–divergence form. Mathematical Notes of NEFU. 2020;27(3):27-38. doi: 10.25587/SVFU.2020.93.40.003

Author

Aripov, Mersaid ; Matyakubov, Alisher S. ; Imomnazarov, Bunyod Kh. / The cauchy problem for a nonlinear degenerate parabolic system in non–divergence form. In: Mathematical Notes of NEFU. 2020 ; Vol. 27, No. 3. pp. 27-38.

BibTeX

@article{d7cc8edc89f346e9b2bb15bbbd9b8e05,

title = "The cauchy problem for a nonlinear degenerate parabolic system in non–divergence form",

abstract = "We deal with degenerate quasilinear parabolic systems in the non-divergence form under positive initial conditions. An asymptotic behavior of self-similar solutions in the case of slow diffusion is established. Depending on values of the numerical parameters and the initial value, the existence of the global solutions of the Cauchy problem is proved. In addition, the asymptotic representation of the solution is obtained.",

author = "Mersaid Aripov and Matyakubov, {Alisher S.} and Imomnazarov, {Bunyod Kh}",

year = "2020",

doi = "10.25587/SVFU.2020.93.40.003",

language = "English",

volume = "27",

pages = "27--38",

journal = "Математические заметки СВФУ",

issn = "2411-9326",

publisher = "M. K. Ammosov North-Eastern Federal University",

number = "3",

}

RIS

TY - JOUR

T1 - The cauchy problem for a nonlinear degenerate parabolic system in non–divergence form

AU - Aripov, Mersaid

AU - Matyakubov, Alisher S.

AU - Imomnazarov, Bunyod Kh

PY - 2020

Y1 - 2020

N2 - We deal with degenerate quasilinear parabolic systems in the non-divergence form under positive initial conditions. An asymptotic behavior of self-similar solutions in the case of slow diffusion is established. Depending on values of the numerical parameters and the initial value, the existence of the global solutions of the Cauchy problem is proved. In addition, the asymptotic representation of the solution is obtained.

AB - We deal with degenerate quasilinear parabolic systems in the non-divergence form under positive initial conditions. An asymptotic behavior of self-similar solutions in the case of slow diffusion is established. Depending on values of the numerical parameters and the initial value, the existence of the global solutions of the Cauchy problem is proved. In addition, the asymptotic representation of the solution is obtained.

UR - http://www.scopus.com/inward/record.url?scp=85094815238&partnerID=8YFLogxK

U2 - 10.25587/SVFU.2020.93.40.003

DO - 10.25587/SVFU.2020.93.40.003

M3 - Article

AN - SCOPUS:85094815238

VL - 27

SP - 27

EP - 38

JO - Математические заметки СВФУ

JF - Математические заметки СВФУ

SN - 2411-9326

IS - 3

ER -

ID: 26008019