关于污染物浓度及其对河流人口影响的数学模型

IF 1.4 Q2 MATHEMATICS, APPLIED

Results in Applied Mathematics Pub Date : 2024-01-18 DOI:10.1016/j.rinam.2023.100414

J.O. Takhirov, M.I. Boborakhimova

{"title":"关于污染物浓度及其对河流人口影响的数学模型","authors":"J.O. Takhirov, M.I. Boborakhimova","doi":"10.1016/j.rinam.2023.100414","DOIUrl":null,"url":null,"abstract":"<div><p>To study the influence of environmental pollutants on the dynamics of river populations, we present a process-oriented model that elucidates the interplay between a population and toxic substances in a flowing environment. Here, an unknown boundary defines the front for the spread of the toxicant in the aquatic environment. Some properties of the solution are studied, and the global solvability of the problem is established. To solve problems with a free boundary, we establish Schauder-type estimates. The behaviour of a free boundary has been studied.</p></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"21 ","pages":"Article 100414"},"PeriodicalIF":1.4000,"publicationDate":"2024-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2590037423000602/pdfft?md5=65e4b72f2b788b64c4ca68b2a06be157&pid=1-s2.0-S2590037423000602-main.pdf","citationCount":"0","resultStr":"{\"title\":\"On the mathematical model of the concentration of pollutants and their impact on the population of the river\",\"authors\":\"J.O. Takhirov, M.I. Boborakhimova\",\"doi\":\"10.1016/j.rinam.2023.100414\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>To study the influence of environmental pollutants on the dynamics of river populations, we present a process-oriented model that elucidates the interplay between a population and toxic substances in a flowing environment. Here, an unknown boundary defines the front for the spread of the toxicant in the aquatic environment. Some properties of the solution are studied, and the global solvability of the problem is established. To solve problems with a free boundary, we establish Schauder-type estimates. The behaviour of a free boundary has been studied.</p></div>\",\"PeriodicalId\":36918,\"journal\":{\"name\":\"Results in Applied Mathematics\",\"volume\":\"21 \",\"pages\":\"Article 100414\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2024-01-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S2590037423000602/pdfft?md5=65e4b72f2b788b64c4ca68b2a06be157&pid=1-s2.0-S2590037423000602-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Results in Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2590037423000602\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Results in Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2590037423000602","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 0

摘要

为了研究环境污染物对河流种群动态的影响，我们提出了一个面向过程的模型，该模型阐明了流动环境中种群与有毒物质之间的相互作用。在这个模型中，一个未知的边界定义了有毒物质在水生环境中传播的前沿。研究了求解的一些特性，并确定了问题的全局可解性。为了解决自由边界问题，我们建立了 Schauder 型估计。对自由边界的行为进行了研究。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

On the mathematical model of the concentration of pollutants and their impact on the population of the river

To study the influence of environmental pollutants on the dynamics of river populations, we present a process-oriented model that elucidates the interplay between a population and toxic substances in a flowing environment. Here, an unknown boundary defines the front for the spread of the toxicant in the aquatic environment. Some properties of the solution are studied, and the global solvability of the problem is established. To solve problems with a free boundary, we establish Schauder-type estimates. The behaviour of a free boundary has been studied.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Results in Applied Mathematics Mathematics-Applied Mathematics

CiteScore

3.20

自引率

10.00%

发文量

审稿时长

23 days