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 |
| Nashr sanasi | 2026-01-01 |
| Jild | 1 |
| Son | 1 |
| Betlar | 24-28 |
| DOI | 10.59251/2181-3973.2025.v1.138.1.3738 |
DOI: 10.59251/2181-3973.2025.v1.138.1.3738 · Maqolaning asl sahifasi
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