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Analysis of shock wave propagation in two-layered blood flow model via Lie symmetry

Publication Type : Journal Article

Source : International Journal of Non-Linear Mechanics, 2024

Url : https://www.researchgate.net/publication/380883462_Analysis_of_shock_wave_propagation_in_two-layered_blood_flow_model_via_Lie_symmetry

Campus : Bengaluru

School : School of Engineering

Department : Mathematics

Year : 2024

Abstract : In this paper, we study the two-layered blood flow model within the framework of Lie symmetry analysis to investigate a range of closed-form solutions. Our investigation involves optimal classification, revealing the existence of six optimal subalgebras within the model. Further, we streamline the model by reducing it into a system of ordinary differential equations (ODEs), thereby deriving several exact solutions. Our analysis establishes the presence of the nonlinear self-adjointness property in the governing equation, leading to the

Cite this Research Publication : Shagolshem, S., Bira, B., & Nagaraja, K. V. Analysis of shock wave propagation in two-layered blood flow model via Lie symmetry. International Journal of Non-Linear Mechanics, 2024, 104761. Impact Factor 3.2 – Q1

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