Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 15 8 2024 08 01 Transmission problem between two Herschel-Bulkley fluids in a thin layer with different power law index 17 28 8152 10.22075/ijnaa.2023.29181.4082 EN Salim Saf Laboratory of Pure and Applied Mathematics, Amar Telidji University, Laghouat 03000, Algeria Farid Messelmi Department of Mathematics and LDMM Laboratory Ziane Achour University, Djelfa 17000, Algeria Fares Yazid Laboratory of Pure and Applied Mathematics, Amar Telidji University, Laghouat 03000, Algeria Journal Article 2022 12 03 The paper is devoted to the study of the steady-state transmission problem between two Herschel-Bulkley fluids in thin layers with different viscosities, yield limits and power law index. https://ijnaa.semnan.ac.ir/article_8152_8460637fc1f901bbf7aef374050e836d.pdf