Email this article Modeling of the “reaction–diffusion” transfer process in a nonlinear electromagnetic field
- Authors: Uvarova L.A.1, Linn P.W.1
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Affiliations:
- Moscow State Technological University (Stankin)
- Issue: Vol 25, No 4 (2021)
- Pages: 663-675
- Section: Differential Equations and Mathematical Physics
- URL: https://journals.eco-vector.com/1991-8615/article/view/71149
- DOI: https://doi.org/10.14498/vsgtu1869
- ID: 71149
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Abstract
The paper deals with a model of two-component mass transfer in an inhomogeneous spherical system. A model of two-component mass transfer in an inhomogeneous spherical system occurring in a nonlinear electromagnetic field is investigated. It is shown that the concentration in the inner region, at the boundary of the regions, as well as the concentration that crossed the border and got into the second region, depend on the nonlinearity parameter of the electrodynamic problem.
About the authors
Lyudmila Alexandrovna Uvarova
Moscow State Technological University (Stankin)
Email: uvar11@yandex.ru
ORCID iD: 0000-0003-1137-6436
SPIN-code: 1255-2232
Scopus Author ID: 6701347361
ResearcherId: ABF-5261-2020
http://www.mathnet.ru/person20824
Dr. Phys. & Math. Sci., Professor; Head of Dept.; Dept. of Applied Mathematics
18 a, Vadkovsky lane, Moscow, 127055, Russian FederationPhyo Wai Linn
Moscow State Technological University (Stankin)
Author for correspondence.
Email: phyowailinnmipt@gmail.com
ORCID iD: 0000-0002-1847-0516
Scopus Author ID: 57215927106
http://www.mathnet.ru/person179270
Postgraduate Student; Dept. of Applied Mathematics
18 a, Vadkovsky lane, Moscow, 127055, Russian FederationReferences
- Born M., Bhatia A. B., Wolf E. Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light. Oxford, Pergamon Press, 1965, xxviii+808 pp.
- Skarka V., Aleksić N., Krolikowski W., Christodoulides D., Aleksić B., Belić M. Linear modulational stability analysis of Ginzburg–Landau dissipative vortices, Opt. Quant. Electron., 2016, vol. 48, no. 4, 240. https://doi.org/10.1007/s11082-016-0514-1.
- Aleksić B. N., Aleksić N. B., Skarka V., Belić M. Stability and nesting of dissipative vortex solitons with high vorticity, Phys. Rev. A, 2015, vol. 91, no. 4, 043832. https://doi.org/10.1103/PhysRevA.91.043832.
- Skarka V., Aleksić N. B., Krolikowski W., Christodoulides D., Rakotoarimalala S., Aleksić B. N., Belić M. Self-structuring of stable dissipative breathing vortex solitons in a colloidal nanosuspension, Optics Express, 2017, vol. 25, no. 9, pp. 10090–10102. https://doi.org/10.1364/OE.25.010090.
- Polovnikov V. Yu. Influence of radiation heat exchange on the intensification of heat transfer in thin-film thermal insulation, Bulletin of the Tomsk Polytechnic University. Geo Assets Engineering, 2020, vol. 331, no. 8, pp. 34–39 (In Russian). https://doi.org/10.18799/24131830/2020/8/2766.
- Ilyina E. A., Saraev L. A. Modeling of phase transformations and superelastic hardening of unstable materials, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2018, vol. 22, no. 3, pp. 407–429 (In Russian). https://doi.org/10.14498/vsgtu1626.
- Drin Ya., Ushenko Yu., Drin I., Drin S. About the approximate solutions to linear and non-linear pseudodifferential reaction diffusion equations, Mohyla Math. J., 2019, vol. 2, pp. 41–45. https://doi.org/10.18523/2617-70802201941-45.
- Kuttler C. Reaction-diffusion equations with applications, Lecture Notes; Munich Technical University, 2011. https://www-m6.ma.tum.de/~kuttler/script_reaktdiff.pdf.
- Uvarova L. A., Krivenko I. V., Ivannikov A. F. Peculiarities of stochastic resonance in disperse systems, In: Australian Institute of Physics 17th National Conference 2006: Refereed Papers (3–8 December, 2006; Brisbane, Australia). Canberra, 2006, 274.
- Uvarova L. A., Babarin S. S. The movement of molecules and nanoparticles in potential field with the Casimir force in nano volumes with different optical boundaries, Physica Scripta, 2014, vol. 2014, no. T162, 014053. https://doi.org/10.1088/0031-8949/2014/T162/014053.
- Uvarova L. A., Fedyanin V. K. Scattering of an electromagnetic wave by a spherical particle with nonlinear properties, Preprint no. P17-89-372. Dubna, JINR, 1989, 7 pp. (In Russian)
- Uvarova L. A. Some exact solutions for the vector of electric field strength in conjugate nonlinear media, Preprint no. P17-87-693. Dubna, JINR, 1987, 14 pp. (In Russian)
- Lakhno V. D., Uvarova L. A. The effect of electron heating of proteins on the electron transport rate, Preprint. Pushchino, Pushchino Scientific Center of RAS, 1993, 13 pp. (In Russian)
- Chikova O. A. Structural transitions in complexly alloyed melts, Izvestiya. Ferrous Metallurgy, 2020, vol. 63, no. 3–4, pp. 261–270 (In Russian). https://doi.org/10.17073/0368-0797-2020-3-4-261-270.
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