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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2024, Volume 21, Issue 1, Pages 213–227
DOI: https://doi.org/doi.org/10.33048/semi.2024.21.015 (Mi semr1678) 		 
Differentical equations, dynamical systems and optimal control

Generalised Boussinesq model with variable coefficients

R. V. Brizitskiiab

a Institute of Applied Mathematics FEB RAS, str. Radio, 7, 690041, Vladivostok, Russia
b Far Eastern Federal University, 10 Ajax Bay, Russky Island, 690922, Vladivostok, Russia
Full-text PDF (483 kB)
DOI: https://doi.org/doi.org/10.33048/semi.2024.21.015
Abstract: The global solvability of the boundary value problem for mass transfer equations has been proven, in which the coefficients of mass expansion and reaction nonlinearly depend on the concentration of the substance, and also depend on spatial variables. The mathematical apparatus is adapted to a specific boundary value problem to prove its solvability with minimal requirements for the initial data. Additional properties of the weak solution are established and their applications are discussed.
Keywords: generalized Boussinesq model, Leray–Schauder principle, maximum principle, global solvability, local uniqueness.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2023-946
Received November 22, 2022, published March 15, 2024
Document Type: Article
UDC: 517.95
MSC: 35Q35
Language: Russian
Citation: R. V. Brizitskii, “Generalised Boussinesq model with variable coefficients”, Sib. Èlektron. Mat. Izv., 21:1 (2024), 213–227
Citation in format AMSBIB
\Bibitem{Bri24}
\by R.~V.~Brizitskii
\paper Generalised Boussinesq model with variable coefficients
\jour Sib. \`Elektron. Mat. Izv.
\yr 2024
\vol 21
\issue 1
\pages 213--227
\mathnet{http://mi.mathnet.ru/semr1678}
\crossref{https://doi.org/doi.org/10.33048/semi.2024.21.015}
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