{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,27]],"date-time":"2025-12-27T07:32:37Z","timestamp":1766820757399,"version":"build-2065373602"},"reference-count":31,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2022,6,20]],"date-time":"2022-06-20T00:00:00Z","timestamp":1655683200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11501309"],"award-info":[{"award-number":["11501309"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, we investigate the blow-up rate and global existence of solutions to a parabolic system with absorption under the homogeneous Dirichlet boundary. By using the comparison principle and super-sub solution method, we obtain some sufficient conditions for the global existence and blow-up in finite time of solutions and establish some estimates of the upper and lower bounds of the blow-up rates. For the special case, if the domain is symmetric, for example, if it is a ball, the results of this paper also hold.<\/jats:p>","DOI":"10.3390\/sym14061274","type":"journal-article","created":{"date-parts":[[2022,6,22]],"date-time":"2022-06-22T23:11:19Z","timestamp":1655939479000},"page":"1274","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Analysis of Solutions to a Parabolic System with Absorption"],"prefix":"10.3390","volume":"14","author":[{"given":"Haihua","family":"Lu","sequence":"first","affiliation":[{"name":"School of Sciences, Nantong University, Nantong 226019, China"}]},{"given":"Jiayuan","family":"Wu","sequence":"additional","affiliation":[{"name":"School of Sciences, Nantong University, Nantong 226019, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4500-6559","authenticated-orcid":false,"given":"Wenjun","family":"Liu","sequence":"additional","affiliation":[{"name":"College of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China"}]}],"member":"1968","published-online":{"date-parts":[[2022,6,20]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1007\/s00033-002-8152-9","article-title":"Critical blowup exponents for a system of reaction-diffsion equations with absorption","volume":"53","author":"Bedjaoui","year":"2002","journal-title":"Z. 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