Cauchy Problem And Boundary- Value Problems For Multicomponent Cross-Diffusion Systems
Dildora MuhamediyevaTashkent University of Information Technologies named after Muhammad Al-Khwarizmi, Tashkent, UzbekistanAziza NurumovaNational University of Uzbekistan named after Mirzo-Ulugbek, Tashkent, UzbekistanSohib MuminovUrgench State University, Urgench, Uzbekistan
2021 International Conference on Information Science and Communications Technologies (ICISCT)conference2021en
ABI
Аннотация
The paper considers the Cauchy problem and boundary value problems for multicomponent cross-diffusion systems, since studying the global solvability of the Cauchy problem and boundary value problems, obtaining estimates for solutions, studying the asymptotics of solutions for large values of time and the behavior of the free boundary without linearizing the equation is an important problem. Obtaining estimates for various types of solutions and the free boundary approximately or asymptotically makes it possible to numerically simulate the processes under study.
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