{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:38:56Z","timestamp":1760150336834,"version":"build-2065373602"},"reference-count":33,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2023,11,15]],"date-time":"2023-11-15T00:00:00Z","timestamp":1700006400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>This article mainly deals with the blow-up properties of nonnegative solutions for a reaction\u2013diffusion system coupled with norm-type sources under positive boundary value conditions. The local existence of a nonnegative solution and the comparison principle are given. The criteria for the global existence or finite time blow-up of the solutions are obtained by constructing new functions and utilizing the super- and -sub-solution method. The results reveal a correlation between the blow-up profiles of the solutions and the size of the domain, as well as the positive boundary value.<\/jats:p>","DOI":"10.3390\/sym15112074","type":"journal-article","created":{"date-parts":[[2023,11,15]],"date-time":"2023-11-15T10:51:37Z","timestamp":1700045497000},"page":"2074","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Blow-Up Analysis for a Reaction\u2013Diffusion System Coupled via L\u03b1-Norm-Type Sources under Positive Boundary Value Conditions"],"prefix":"10.3390","volume":"15","author":[{"given":"Guangsheng","family":"Zhong","sequence":"first","affiliation":[{"name":"School of Sciences, Nantong University, Nantong 226019, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qinghua","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Sciences, Nantong University, Nantong 226019, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,11,15]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"368","DOI":"10.1016\/0022-0396(87)90125-2","article-title":"On a nonlinear degenerate parabolic equation in infiltration or evaporation through a porous medium","volume":"69","author":"Diaz","year":"1987","journal-title":"J. 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