This paper considers a system of nonlinear diffusion-reaction equations with nonlinear boundary flows in a half-space. The focus is on the problem formulation, determination of a weak solution, and derivation of an energy estimate and a blow-up criterion. Self-similar solutions are constructed for the system, and numerical simulations are performed in 1D using an implicit scheme. The results demonstrate the development of solution peaks and the possible blow-up moment, as confirmed by 3D field evolution plots.
| Mualliflar | D. Yarmetova |
|---|---|
| Jurnal | Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi |
| Nashriyot | Самарқанд давлат университети |
| ISSN | 2091-5446, 2181-1296 |
| Nashr sanasi | 2026-01-01 |
| Jild | 1 |
| Son | 1 |
| Betlar | 24-28 |
| Til | Ingliz |
| DOI | 10.59251/2181-3973.2025.v1.138.1.3738 |
| Indeksga qo‘shilgan | 2026-09-02 |
DOI: 10.59251/2181-3973.2025.v1.138.1.3738 · Maqolaning asl sahifasi
| APA | D. Yarmetova (2026). NUMERICAL STUDY OF A NONLINEAR DIFFUSION SYSTEM WITH BOUNDARY FLUXES. Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(1), 24-28. https://doi.org/10.59251/2181-3973.2025.v1.138.1.3738 |
|---|---|
| GOST (OAK) | D. Yarmetova NUMERICAL STUDY OF A NONLINEAR DIFFUSION SYSTEM WITH BOUNDARY FLUXES // Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi. – 2026. – T. 1, № 1. – P. 24-28. – DOI: 10.59251/2181-3973.2025.v1.138.1.3738. |
| MLA | D. Yarmetova. “NUMERICAL STUDY OF A NONLINEAR DIFFUSION SYSTEM WITH BOUNDARY FLUXES.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(1), 24-28, 2026. https://doi.org/10.59251/2181-3973.2025.v1.138.1.3738 |
| Chicago | D. Yarmetova. “NUMERICAL STUDY OF A NONLINEAR DIFFUSION SYSTEM WITH BOUNDARY FLUXES.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(1), 24-28 (2026). https://doi.org/10.59251/2181-3973.2025.v1.138.1.3738 |
| Harvard | D. Yarmetova (2026) ‘NUMERICAL STUDY OF A NONLINEAR DIFFUSION SYSTEM WITH BOUNDARY FLUXES’, Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(1), 24-28. https://doi.org/10.59251/2181-3973.2025.v1.138.1.3738 |
| BibTeX | @article{dyarmetova2026,
title = {NUMERICAL STUDY OF A NONLINEAR DIFFUSION SYSTEM WITH BOUNDARY FLUXES},
author = {D. Yarmetova},
journal = {Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi},
year = {2026},
volume = {1},
number = {1},
pages = {24-28},
doi = {10.59251/2181-3973.2025.v1.138.1.3738},
url = {https://doi.org/10.59251/2181-3973.2025.v1.138.1.3738}
} |
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