[{"year":"2025","publication_status":"published","intvolume":"        48","OA_type":"hybrid","article_number":"e70003","file_date_updated":"2025-06-03T09:12:22Z","scopus_import":"1","publication":"GAMM-Mitteilungen","external_id":{"arxiv":["2402.13790"]},"article_processing_charge":"Yes (via OA deal)","file":[{"file_id":"19786","access_level":"open_access","date_updated":"2025-06-03T09:12:22Z","date_created":"2025-06-03T09:12:22Z","creator":"dernst","file_name":"2025_GAMM_Hurm.pdf","content_type":"application/pdf","relation":"main_file","success":1,"file_size":513741,"checksum":"6bac9d3e566b68519ae80ac8b0f41f20"}],"project":[{"call_identifier":"H2020","_id":"0aa76401-070f-11eb-9043-b5bb049fa26d","grant_number":"948819","name":"Bridging Scales in Random Materials"}],"publication_identifier":{"eissn":["1522-2608"],"issn":["0936-7195"]},"ddc":["510"],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"ec_funded":1,"author":[{"full_name":"Hurm, Christoph","first_name":"Christoph","last_name":"Hurm"},{"last_name":"Moser","first_name":"Maximilian","full_name":"Moser, Maximilian","id":"a60047a9-da77-11eb-85b4-c4dc385ebb8c"}],"day":"01","doi":"10.1002/gamm.70003","_id":"19783","status":"public","date_created":"2025-06-03T08:58:01Z","date_updated":"2025-06-03T09:14:17Z","volume":48,"article_type":"original","oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","language":[{"iso":"eng"}],"issue":"2","oa_version":"Published Version","acknowledgement":"C. Hurm was partially supported by the Graduiertenkolleg 2339 IntComSin of the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)–Project-ID 321821685. M. Moser has received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (grant agreement No 948819). The support is gratefully acknowledged. Finally, we thank Daniel Böhme and Jonas Stange for careful proofreading. Open Access funding enabled and organized by Projekt DEAL.","month":"06","date_published":"2025-06-01T00:00:00Z","has_accepted_license":"1","department":[{"_id":"JuFi"}],"quality_controlled":"1","abstract":[{"lang":"eng","text":"We consider a local Cahn–Hilliard‐type model for tumor growth as well as a nonlocal model where, compared to the local system, the Laplacian in the equation for the chemical potential is replaced by a nonlocal operator. The latter is defined as a convolution integral with suitable kernels parametrized by a small parameter. For sufficiently smooth bounded domains in three dimensions, we prove convergence of weak solutions of the nonlocal model toward strong solutions of the local model together with convergence rates with respect to the small parameter. The proof is done via a Gronwall‐type argument and a convergence result with rates for the nonlocal integral operator toward the Laplacian due to Abels and Hurm."}],"publisher":"Wiley","OA_place":"publisher","citation":{"ieee":"C. Hurm and M. Moser, “Nonlocal‐to‐local convergence for a Cahn–Hilliard tumor growth model,” <i>GAMM-Mitteilungen</i>, vol. 48, no. 2. Wiley, 2025.","apa":"Hurm, C., &#38; Moser, M. (2025). Nonlocal‐to‐local convergence for a Cahn–Hilliard tumor growth model. <i>GAMM-Mitteilungen</i>. Wiley. <a href=\"https://doi.org/10.1002/gamm.70003\">https://doi.org/10.1002/gamm.70003</a>","short":"C. Hurm, M. Moser, GAMM-Mitteilungen 48 (2025).","mla":"Hurm, Christoph, and Maximilian Moser. “Nonlocal‐to‐local Convergence for a Cahn–Hilliard Tumor Growth Model.” <i>GAMM-Mitteilungen</i>, vol. 48, no. 2, e70003, Wiley, 2025, doi:<a href=\"https://doi.org/10.1002/gamm.70003\">10.1002/gamm.70003</a>.","chicago":"Hurm, Christoph, and Maximilian Moser. “Nonlocal‐to‐local Convergence for a Cahn–Hilliard Tumor Growth Model.” <i>GAMM-Mitteilungen</i>. Wiley, 2025. <a href=\"https://doi.org/10.1002/gamm.70003\">https://doi.org/10.1002/gamm.70003</a>.","ama":"Hurm C, Moser M. Nonlocal‐to‐local convergence for a Cahn–Hilliard tumor growth model. <i>GAMM-Mitteilungen</i>. 2025;48(2). doi:<a href=\"https://doi.org/10.1002/gamm.70003\">10.1002/gamm.70003</a>","ista":"Hurm C, Moser M. 2025. Nonlocal‐to‐local convergence for a Cahn–Hilliard tumor growth model. GAMM-Mitteilungen. 48(2), e70003."},"arxiv":1,"type":"journal_article","title":"Nonlocal‐to‐local convergence for a Cahn–Hilliard tumor growth model"}]