Free boundary problem for a system of parabolic equations of the reaction-diffusion type
This paper considers a free boundary problem for a system of quasi-linear parabolic equations in one dimension. Nonlinear problems with a free boundary are studied using a method based on constructing a priori estimates. For the solutions of the problem, apriory estimates of Shauder type are established. On the base of apriory estimates, the existence and uniqueness theorems are proved.
Authors
- M. S. Rasulov (ORCID: https://orcid.org/0000-0003-0704-6012)
Institutions
- Academy of Sciences Republic of Uzbekistan (UZ)
- Tashkent Institute of Irrigation and Agricultural Mechanization Engineers (UZ)
Publication Details
- Journal
- Izvestiya Vysshikh Uchebnykh Zavedenii Matematika
- Published
- 2025-02-26
- DOI
- https://doi.org/10.26907/0021-3446-2025-2-79-90
- Citations
- 1
- Primary Topic
- Advanced Mathematical Modeling in Engineering
- Type
- article
- Field-Weighted Citation Impact
- 1.50