Geodesic
Inverse problem on chaotic dynamics of a polymer molecule
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 21 (2024) no. 2, pp. 1167-1180 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper, it is shown that the problem of chaotic dynamics of a polymer molecule in a liquid can be written as a coefficient inverse problem for a nonlocal in time parabolic equation. The weak solvability of this inverse problem is established for the cases of the Dirichlet and Neumann boundary conditions.
Keywords: polymer chain, chaotic dynamics, inverse problem, solvability.
Mots-clés : nonlocal parabolic equation 
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V. N. Starovoitov; A. A. Titova. Inverse problem on chaotic dynamics of a polymer molecule. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 21 (2024) no. 2, pp. 1167-1180. http://geodesic.mathdoc.fr/item/SEMR_2024_21_2_a41/

[1] A.I. Prilepko, D.G. Orlovsky, I.A. Vasin, Methods for solving inverse problems in mathematical physics, Marcel Dekker, New York, 2000 | Zbl

[2] V.N. Starovoitov, “Boundary value problem for a global-in-time parabolic equation”, Math. Methods Appl. Sci., 44:1 (2021), 1118–1126 | DOI | Zbl

[3] C. Walker, “Strong solutions to a nonlocal-in-time semilinear heat equation”, Q. Appl. Math., 79:2 (2021), 265–272 | DOI | Zbl

[4] J.R. Cannon, Y. Lin, “Determination of a parameter $p(t)$ in some quasi-linear parabolic differential equations”, Inverse Probl., 4:1 (1988), 35–45 | DOI | Zbl

[5] A.I. Kozhanov, “Parabolic equations with unknown time-dependent coefficients”, Comput. Math. Math. Phys., 57:6 (2017), 956–966 | DOI | Zbl

[6] V.N. Starovoitov, B.N. Starovoitova, “Modeling the dynamics of polymer chains in water solution. Application to sensor design”, J. Phys.: Conf. Ser., 894 (2017), 012088 | DOI

[7] V.N. Starovoitov, “Solvability of boundary value problem of chaotic dynamics of polymer molecule in the case of bounded interaction potential”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 1714–1719 | DOI | Zbl

[8] V.N. Starovoitov, “Solvability of a regularized boundary value problem of chaotic dynamics of a polymer molecule”, Sib. Èlektron. Mat. Izv., 20:2 (2023), 1597–1604 | Zbl

[9] O.A. Ladyženskaja, V.A. Solonnikov, N.N. Ural'ceva, “Linear and quasi-linear equations of parabolic type”, Translations of Mathematical Monographs, 23, AMS, Providence, 1968 | Zbl