Abstract: Under consideration is a nonlinear transport equation containing two nonlinearities and a coefficient q(x) of a lower-order nonlinear term depending on two or three space variables. We study the direct problem with the data on a part of the lateral surface of a cylindrical domain, explicitly construct a solution, and prove the uniqueness of the solution. Also, we state the problem of recovering the coefficient q(x) on some information about a solution to the direct problem and demonstrate that the inverse problem reduces to an X-ray tomography problem. This opens a way to its efficient numerical solution.

Cite: Romanov V.G.
An inverse problem for a nonlinear transport equation
Siberian Mathematical Journal. 2024. V.65. N5. P.1195-1200. DOI: 10.1134/S0037446624050185 WOS Scopus РИНЦ OpenAlex

Original: Романов В.Г.
Обратная задача для нелинейного уравнения переноса
Сибирский математический журнал. 2024. Т.65. №5. С.1022-1028. DOI: 10.33048/smzh.2024.65.518 РИНЦ

Dates:

Submitted:	Jul 29, 2024
Accepted:	Aug 20, 2024
Published print:	Sep 20, 2024
Published online:	Sep 20, 2024

Identifiers:

Web of science:	WOS:001320442300010
Scopus:	2-s2.0-85204772354
Elibrary:	69920894
OpenAlex:	W4402842354

Citing: Пока нет цитирований

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