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

TitleModel of growth of coherent structures in a medium with fast relaxation and slow diffusion
AuthorsV. M. Morozov1, 2, V. M. Zhuravlev3
1Samara National Research University
2Ulyanovsk instrument manufacturing design bureau
3Ulyanovsk State University
AnnotationThe 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.
Keywordsnonlinear diffusion, coherent structures, multiscale expansion method
CitationMorozov 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: 13.12.2024.