{"corpus_id":232068743,"paper_sha":"9a63b8c7c1b5302f83f4b6712e2b49852c963fe0","doi":"10.1016/j.jmaa.2021.125665","arxiv_id":"2102.13615","pmid":null,"pmcid":null,"mag_id":null,"dblp_id":null,"acl_id":null,"title":"On a non-isothermal Cahn-Hilliard model for tumor growth","year":2021,"publication_date":"2021-02-26","venue":"Journal of Mathematical Analysis and Applications","journal":{"name":"Journal of Mathematical Analysis and Applications","pages":null,"volume":null},"journal_issn":null,"journal_title":null,"publication_types":[],"pubmed_pub_types":null,"s2_fields_of_study":["Biology","Mathematics","Medicine"],"reference_count":34,"citation_count":10,"influential_citation_count":1,"is_open_access":true,"arxiv_categories":["math.AP","q-bio.TO"],"arxiv_license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","arxiv_journal_ref":null,"mesh_headings":null,"chemicals":null,"comments_corrections":null,"source_flags":1,"s2_open_access_pdf_url":"http://arxiv.org/pdf/2102.13615","s2_open_access_landing_url":"https://www.semanticscholar.org/paper/377ad732f375a7726ab59fe970850dc6ab871a80","s2_open_access_license":null,"s2_open_access_status":"GREEN","pmc_open_access_pdf_url":null,"pmc_open_access_landing_url":null,"pmc_open_access_license":null,"pmc_open_access_status":null,"unpaywall_open_access_pdf_url":null,"unpaywall_open_access_landing_url":null,"unpaywall_open_access_license":null,"unpaywall_open_access_status":null,"abstract":"We introduce here a new diffuse interface thermodynamically consistent non-isothermal model for tumor growth in presence of a nutrient in a domain Ω ⊂ R 3 . In particular our system describes the growth of a tumor surrounded by healthy tissues, taking into account changes of temperature, proliferation of cells, nutrient consumption and apoptosis. 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