Реферат: In the present paper, we study the inverse problem for the twodimensional convective Brinkman–Forchheimer (CBF) equations with the integral overdetermination condition and discontinuity at the initial moment of time. By CBF equations, we mean the Navier–Stokes equations with an absorption term −(αv + β|v| r−1v), α, β > 0,r ∈ [1, +∞). Specifically, we approximate the discontinuous overdetermination condition with a continuous one. Following the classical results on the initial layer of singularly perturbed differential equations, we scale the problem in an infinitesimal neighborhood [0, 1n ] of the point t = 0, using the fast time variable t = tn ∈ [0, 1]. In the limit, we obtain ordinary differential equations that provide a new initial velocity for the inverse limit problem in the rest domain.

Библиографическая ссылка: Antontsev S. , Kumar P. , Kuznetsov I.
Impulsive inverse problem for 2D convective Brinkman–Forchheimer equations with integral overdetermination in time
Journal of Fixed Point Theory and Applications. 2026. V.28. N75. 28:75 :1-30. DOI: 10.1007/s11784-026-01324-5 WOS Scopus OpenAlex

Даты:

Принята к публикации:	7 июл. 2026 г.
Опубликована online:	20 авг. 2026 г.

Идентификаторы БД:

≡ Web of science:	WOS:001854352700001
≡ Scopus:	2-s2.0-105048037828
≡ OpenAlex:	W7203837116

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