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

Emil Minchev; Mitsuharu Otani

doi:10.3934/cpaa.2018077

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

Emil Minchev, Mitsuharu Otani^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

The L^∞-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.

Original language	English
Pages (from-to)	1613-1632
Number of pages	20
Journal	Communications on Pure and Applied Analysis
Volume	17
Issue number	4
DOIs	https://doi.org/10.3934/cpaa.2018077
Publication status	Published - 2018 Jul 1

Keywords

Convection
Hysteresis
L-energy method
Parabolic system
Subdifferential operator

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.3934/cpaa.2018077

Cite this

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abstract = "The L∞-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.",

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AU - Otani, Mitsuharu

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N2 - The L∞-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.

AB - The L∞-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.

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KW - L-energy method

KW - Parabolic system

KW - Subdifferential operator

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