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Mathematical Modeling Diffusion of Decaying Particles in Regular Structures

机译:规则结构中衰变粒子的数学建模扩散

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In the paper an exact solution of the contact initial-boundary value problem is found for diffusion of decaying admixture particles in a body of a two-phase periodical stratified structure. Regularities of concentration distributions are studied to depend upon different values of a coefficient of the migrating substance.s decay intensity. Conditions are established for the existence of a passage to the limit from contact initial-boundary value problems of the decaying substance diffusion to continual models of heterodiffusion by two ways allowing for the decay process. An exact solution for the partial Fisher problem for a layer is found. Mass flows are defined for the decaying admixture whose particles migrate in a horizontally regular structure.
机译:在本文中,发现了接触初始边界值问题的精确解决方案,用于衰减的混合粒子在两相周期性分层结构体中的扩散。研究浓度分布的规律性以取决于迁移物质的衰减强度系数的不同值。通过允许衰变过程的两种方式,建立了从衰变物质扩散的接触初始边界值问题到异质扩散连续模型的极限存在的条件。找到了层的部分Fisher问题的精确解决方案。为衰减混合物定义了质量流,该混合物的颗粒以水平规则结构迁移。

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