Homogenized Model of Diffusion in Porous Media with Nonlinear Absorption on the Boundary

• Datum: 2015
• Hauptverfasser: Goncharenko, M. V., Khilkova, L. O., Гончаренко, М. В., Хилькова, Л. А.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2015
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2059
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider a boundary-value problem used to describe the process of stationary diffusion in a porous medium with nonlinear absorption on the boundary. We study the asymptotic behavior of the solution when the medium becomes more and more porous and denser located in a bounded domain $Q$. A homogeni...