The paper presents a model of the initial stage of material surface treatment by particle flow under isothermal conditions. The model takes into account the mass flow relaxation time to equilibrium state. Two variants of the elastic diffusion problem linearization are analyzed. Dispersion relations are obtained. The influence of the nonlinear effect related to the diffusion coefficient dependence on the composition is investigated. It is shown that nonlinearity leads to a change in the region of existence of stable solutions.
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Parfenova, E.S. Dispersion Relations for the Linearized Elastic Diffusion Problem. Russ Phys J 65, 2023–2029 (2023). https://doi.org/10.1007/s11182-023-02865-9
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DOI: https://doi.org/10.1007/s11182-023-02865-9