On the properties of solutions of a cross-diffusion system with nonlinear boundary flux

Zafar Rakhmonov, Jasur Urunbaev, B A l l a b e r d i y e v

Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi · 2020-yil

Annotatsiya

In this paper, based on a self-similar analysis and the method of standard equations, the properties of a nonlinear cross-diffusion system coupled via nonlocal boundary conditions are studied. We are investigated the qualitative properties of solutions of a nonlinear system of parabolic equations of crossdiffusion in a medium coupled with nonlinear boundary conditions. It is proved that for certain values of the numerical parameters of the nonlinear cross-diffusion system of parabolic equations coupled via nonlinear boundary conditions, they may not have global solutions in time. Based on a self-similar analysis and the principle of comparing solutions, a critical exponent of the Fujita type and a critical value of global solvability are established. Using the comparison theorem, upper bounds for global solutions and lower bounds for blow-up solutions are obtained

Maqola ma’lumotlari
MualliflarZafar Rakhmonov, Jasur Urunbaev, B A l l a b e r d i y e v
JurnalSamarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi
NashriyotСамарқанд давлат университети
ISSN2091-5446, 2181-1296
Nashr sanasi2020-04-11
Jild3
Son121/1
Betlar1-13
TilIngliz
DOI10.59251/2181-1296.v3.1211.1065
Indeksga qo‘shilgan2026-09-02

DOI: 10.59251/2181-1296.v3.1211.1065 · Maqolaning asl sahifasi

Iqtibos keltirish

APAZafar Rakhmonov, Jasur Urunbaev, & B A l l a b e r d i y e v (2020). ON THE PROPERTIES OF SOLUTIONS OF A CROSS-DIFFUSION SYSTEM WITH NONLINEAR BOUNDARY FLUX. Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 3(121/1), 1-13. https://doi.org/10.59251/2181-1296.v3.1211.1065
GOST (OAK)Zafar Rakhmonov, Jasur Urunbaev, B A l l a b e r d i y e v ON THE PROPERTIES OF SOLUTIONS OF A CROSS-DIFFUSION SYSTEM WITH NONLINEAR BOUNDARY FLUX // Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi. – 2020. – T. 3, № 121/1. – P. 1-13. – DOI: 10.59251/2181-1296.v3.1211.1065.
MLAZafar Rakhmonov, Jasur Urunbaev, and B A l l a b e r d i y e v. “ON THE PROPERTIES OF SOLUTIONS OF A CROSS-DIFFUSION SYSTEM WITH NONLINEAR BOUNDARY FLUX.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 3(121/1), 1-13, 2020. https://doi.org/10.59251/2181-1296.v3.1211.1065
ChicagoZafar Rakhmonov, Jasur Urunbaev, and B A l l a b e r d i y e v. “ON THE PROPERTIES OF SOLUTIONS OF A CROSS-DIFFUSION SYSTEM WITH NONLINEAR BOUNDARY FLUX.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 3(121/1), 1-13 (2020). https://doi.org/10.59251/2181-1296.v3.1211.1065
HarvardZafar Rakhmonov, Jasur Urunbaev, and B A l l a b e r d i y e v (2020) ‘ON THE PROPERTIES OF SOLUTIONS OF A CROSS-DIFFUSION SYSTEM WITH NONLINEAR BOUNDARY FLUX’, Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 3(121/1), 1-13. https://doi.org/10.59251/2181-1296.v3.1211.1065
BibTeX
@article{zafarrakhmonov2020,
  title = {ON THE PROPERTIES OF SOLUTIONS OF A CROSS-DIFFUSION SYSTEM WITH NONLINEAR BOUNDARY FLUX},
  author = {Zafar Rakhmonov and Jasur Urunbaev and B A l l a b e r d i y e v},
  journal = {Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi},
  year = {2020},
  volume = {3},
  number = {121/1},
  pages = {1-13},
  doi = {10.59251/2181-1296.v3.1211.1065},
  url = {https://doi.org/10.59251/2181-1296.v3.1211.1065}
}

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