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L∞-energy method for a parabolic system with convection and hysteresis effect

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The \begin{document}$L^∞$\end{document} -energy method is developed so as to handle nonlinear parabolic systems with convection and hysteresis effect. The system under consideration originates from a biological model where the hysteresis… Click to show full abstract

The \begin{document}$L^∞$\end{document} -energy method is developed so as to handle nonlinear parabolic systems with convection and hysteresis effect. The system under consideration originates from a biological model where the hysteresis and convective effects are taken into account in the evolution of species. Some results for the existence of local and global solutions as well as the uniqueness of solution are presented.

Keywords: convection hysteresis; hysteresis effect; hysteresis; energy method

Journal Title: Communications on Pure and Applied Analysis
Year Published: 2018

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