Nonlinear conservation law model for production network considering yield loss


Authors

Tanmay Sarkar - Department of Mathematics, Indian Institute of Technology Madras, Chennai-600036, India. S. Sundar - Department of Mathematics, Indian Institute of Technology Madras, Chennai-600036, India.


Abstract

A mathematical model describing yield loss in a production network has been introduced. Mathematical properties of the continuum model are discussed. Existence, uniqueness and stability of the solution are demonstrated through weak formulation and entropy criteria. Front tracking method is implemented to construct approximate solutions. Estimates of the solutions are also provided.


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ISRP Style

Tanmay Sarkar, S. Sundar, Nonlinear conservation law model for production network considering yield loss, Journal of Nonlinear Sciences and Applications, 7 (2014), no. 3, 205--217

AMA Style

Sarkar Tanmay, Sundar S., Nonlinear conservation law model for production network considering yield loss. J. Nonlinear Sci. Appl. (2014); 7(3):205--217

Chicago/Turabian Style

Sarkar, Tanmay, Sundar, S.. "Nonlinear conservation law model for production network considering yield loss." Journal of Nonlinear Sciences and Applications, 7, no. 3 (2014): 205--217


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