Model of growth of coherent structures in a medium with fast relaxation and slow diffusion

Title	Model of growth of coherent structures in a medium with fast relaxation and slow diffusion
Authors	V. M. Morozov^{1, 2}, V. M. Zhuravlev³ ¹Samara National Research University ²Ulyanovsk instrument manufacturing design bureau ³Ulyanovsk State University
Annotation	The paper proposes a model of radiation-stimulated growth of coherent structures in a crystalline medium based on the equations of nonlinear diffusion of point defects. Possible modes of growth of superlattices are revealed, and concentration distributions and concentration profiles over the depth of the material are obtained.
Keywords	nonlinear diffusion, coherent structures, multiscale expansion method
Citation	Morozov V. M., Zhuravlev V. M. ''Model of growth of coherent structures in a medium with fast relaxation and slow diffusion'' [Electronic resource]. Proceedings of the XVI International scientific conference "Differential equations and their applications in mathematical modeling". (Saransk, July 17-20, 2023). Saransk: SVMO Publ, 2023. - pp. 171-174. Available at: https://conf.svmo.ru/files/2023/papers/paper27.pdf. - Date of access: 19.05.2024.