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Entire Solutions of a Nonlinear Diffusion System

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Applied Mathematical Analysis: Theory, Methods, and Applications

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 177))

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Abstract

In this chapter, a diffusion model system of equations is analyzed, and entire solutions are established under some conditions on its nonlinearity. The starting point of this work is raised by the following question: can one establish new results related to the existence and asymptotic behaviour of solutions for such systems as the one considered? We believe that this question deserves investigation, which can be structured in several scientific research objectives. The results achieved in the chapter, generated by the above question, are of high interest in the academic society and industry and want to convey a great variety of applications.

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Acknowledgements

The author would like to thank Professor Traian A. Pirvu for valuable comments and suggestions which further improved this chapter.

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Authors and Affiliations

  1. Department of Applied Mathematics, The Bucharest University of Economic Studies, Piata Romana, 1st district, 010374, 22, Bucharest, Romania

    Dragoş-Pătru Covei

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  1. Dragoş-Pătru Covei
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Correspondence to Dragoş-Pătru Covei .

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Editors and Affiliations

  1. Department of Mathematics, Gauhati University, Guwahati, India

    Hemen Dutta

  2. Computational Intelligence Laboratory, Department of Electrical & Computer Engineering, University of Manitoba, Winnipeg, MB, Canada

    James F. Peters

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Covei, DP. (2020). Entire Solutions of a Nonlinear Diffusion System. In: Dutta, H., Peters, J. (eds) Applied Mathematical Analysis: Theory, Methods, and Applications. Studies in Systems, Decision and Control, vol 177. Springer, Cham. https://doi.org/10.1007/978-3-319-99918-0_15

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