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On new exact solutions of a nonlinear diffusion system that describes the growth of protein crystals

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Abstract

By using the method of additional generating conditions, we construct multiparameter families of exact solutions of a nonlinear diffusion system that describes the growth of protein crystals. We demonstrate the efficiency of the application of the solutions obtained to the solution of the corresponding nonlinear problem with moving boundary.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    R. M. Cherniha

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  1. R. M. Cherniha
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 8, pp. 1106–1120, August, 1998.

This work was partially supported by the State Foundation for Fundamental Research of the Ukrainian Ministry for Science and Technology (grant No. 1.4/356).

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Cherniha, R.M. On new exact solutions of a nonlinear diffusion system that describes the growth of protein crystals. Ukr Math J 50, 1262–1279 (1998). https://doi.org/10.1007/BF02513082

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  • DOI: https://doi.org/10.1007/BF02513082

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