On a Nonlinear Initial—Boundary Value Problem with Venttsel Type Boundary Conditions Arizing in Homogenization of Complex Heat Transfer Problems

On a Nonlinear Initial—Boundary Value Problem with Venttsel Type Boundary Conditions Arizing in Homogenization of Complex Heat Transfer Problems

We consider a non-standard nonlinear singularly perturbed 2D initial-boundary value problem with Venttsel type boundary conditions, arising in homogenization of radiative-conductive heat transfer problems. We establish existence, uniqueness and regularity of a weak solution <i>v</i>. We...

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Bibliographic Details
Main Authors: Andrey Amosov, Nikita Krymov
Format: Article
Language:English
Published: MDPI AG 2022-05-01
Series:Mathematics
Subjects:
radiative—conductive heat transfer problem
nonlinear initial—boundary value problem
Venttsel type boundary conditions
regularity of weak solutions
Online Access:https://www.mdpi.com/2227-7390/10/11/1890

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https://www.mdpi.com/2227-7390/10/11/1890

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