Homogenized Model of Non-Stationary Diffusion in Porous Media with the Drift

Автор(и)

  • M. Goncharenko B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, 47 Nauky Ave., Kharkiv 61103, Ukraine
  • L. Khilkova Institute of Chemical Technology of Eastern Ukrainian National University, 31 Volodymyrska Str., Rubizhne 93009, Ukraine

DOI:

https://doi.org/10.15407/mag13.02.154

Ключові слова:

усереднення, нестаціонарна дифузія, нелінійна крайова умова, усереднена модель

Анотація

Розглянуто початково-крайову задачу для параболiчного рiвняння, що описує нестацiонарну дифузiю у пористих середовищах з нелiнiйним поглинанням на межi та переносом рiдиною речовин, що дифундують. Доведено iснування єдиного розв'язку задачi. Вивчено асимптотичну поведiнку послiдовностi розв'язкiв, коли масштаб мiкроструктури прямує до нуля, та побудовано усереднену модель дифузiї.

Mathematics Subject Classification: 35Q74.

Посилання

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Goncharenko, M.; Khilkova, L. Homogenized Model of Non-Stationary Diffusion in Porous Media with the Drift. Журн. мат. фіз. анал. геом. 2017, 13, 154-172.

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