Nonstationary temperature field of a multilayer plate under the periodic action of a heat flux in the presence of self-radiation

• Date: 2026
• Main Authors: Kushnir, R., Protsiuk, B., Protsiuk, Yu., Кушнір, Роман, Процюк, Борис, Процюк, Юрій
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/9886
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 539.3, 517.95 We construct the solution of a one-dimensional nonlinear nonstationary heat-conduction problem for a multilayer plate in the case where one of its bounding surfaces is heated by a heat flux whose intensity varies as a sinusoidal function of time, whereas the opposite surface is coo...