AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home Mathematics in Engineering Article
PDF (327.2 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Quasilinear reaction diffusion systems with mass dissipation

Evangelos Latos1, Takashi Suzuki2( )
Institut für Mathematik und Wissenschaftliches Rechnen, Heinrichstraße 36, 8010 Graz, Austria
Center for Mathematical Modeling and Data Science, Osaka University, Japan
Show Author Information

Abstract

We study quasilinear reaction diffusion systems relative to the Shigesada-Kawasaki-Teramoto model. Nonlinearity standing for the external force is provided with mass dissipation. Estimate in several norms of the solution is provided under the restriction of diffusion coefficients, growth rate of reaction, and space dimension.

Keywords

quasilinear reaction diffusion systemtotal mass dissipationglobal in time classical solutionShigesada-Kawasaki-Teramoto model

References

【1】
【1】
 
 
Crossref Google Scholar
Mathematics in Engineering
Volume 4 Issue 5,
October 2022
Pages 1-13
DOI: 10.3934/mine.2022042

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Latos E, Suzuki T. Quasilinear reaction diffusion systems with mass dissipation. Mathematics in Engineering, 2022, 4(5): 1-13. https://doi.org/10.3934/mine.2022042

14

Views

1

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 29 December 2020
Accepted: 12 July 2021
Published: 15 October 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)