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These results rely on the gradient structure of the underlying PDE. Our results provide necessary theoretical steps for validation of the model.&lt;\/p&gt;<\/jats:p>","DOI":"10.3934\/nhm.2025001","type":"journal-article","created":{"date-parts":[[2025,1,3]],"date-time":"2025-01-03T00:54:11Z","timestamp":1735865651000},"page":"1-14","source":"Crossref","is-referenced-by-count":0,"title":["Reaction\u2013diffusion transport into core-shell geometry: Well-posedness and stability of stationary solutions"],"prefix":"10.3934","volume":"20","author":[{"given":"Thomas Geert","family":"de Jong","sequence":"first","affiliation":[{"name":"Faculty of Mathematics and Physics, Institute of Science and Engineering, Kanazawa University, Kanazawa, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Georg","family":"Prokert","sequence":"additional","affiliation":[{"name":"Faculty of Mathematics and Computer Science, Center for Analysis, Scientific Computing and Applications, Eindhoven University of Technology, Eindhoven, The Netherlands"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alef Edou","family":"Sterk","sequence":"additional","affiliation":[{"name":"Bernoulli Institute for Mathematics, Computer Science and Artificial Intelligence, University of Groningen, Groningen, The Netherlands"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"2321","reference":[{"key":"key-10.3934\/nhm.2025001-1","unstructured":"A. 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