Global Existence of a Chemotactic Movement with Singular Sensitivity by Two Stimuli

In this study, we deal with the chemotaxis system with singular sensitivity by two stimuli under homogeneous Neumann boundary conditions in a bounded domain with smooth boundary. Under appropriate regularity assumptions on the initial data, we show that the system possesses global classical solution...

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Main Author: Heping Ma
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2021/9323338
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author Heping Ma
author_facet Heping Ma
author_sort Heping Ma
collection DOAJ
description In this study, we deal with the chemotaxis system with singular sensitivity by two stimuli under homogeneous Neumann boundary conditions in a bounded domain with smooth boundary. Under appropriate regularity assumptions on the initial data, we show that the system possesses global classical solution. Our results generalize and improve previously known ones.
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spelling doaj.art-01ccebd6d67348b1b79ed43d0fd246ea2022-12-22T04:05:37ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2021-01-01202110.1155/2021/93233389323338Global Existence of a Chemotactic Movement with Singular Sensitivity by Two StimuliHeping Ma0School of Science, Hubei University of Technology, Wuhan 430068, Hubei, ChinaIn this study, we deal with the chemotaxis system with singular sensitivity by two stimuli under homogeneous Neumann boundary conditions in a bounded domain with smooth boundary. Under appropriate regularity assumptions on the initial data, we show that the system possesses global classical solution. Our results generalize and improve previously known ones.http://dx.doi.org/10.1155/2021/9323338
spellingShingle Heping Ma
Global Existence of a Chemotactic Movement with Singular Sensitivity by Two Stimuli
Discrete Dynamics in Nature and Society
title Global Existence of a Chemotactic Movement with Singular Sensitivity by Two Stimuli
title_full Global Existence of a Chemotactic Movement with Singular Sensitivity by Two Stimuli
title_fullStr Global Existence of a Chemotactic Movement with Singular Sensitivity by Two Stimuli
title_full_unstemmed Global Existence of a Chemotactic Movement with Singular Sensitivity by Two Stimuli
title_short Global Existence of a Chemotactic Movement with Singular Sensitivity by Two Stimuli
title_sort global existence of a chemotactic movement with singular sensitivity by two stimuli
url http://dx.doi.org/10.1155/2021/9323338
work_keys_str_mv AT hepingma globalexistenceofachemotacticmovementwithsingularsensitivitybytwostimuli