{"article_processing_charge":"No","has_accepted_license":"1","status":"public","department":[{"_id":"JuFi"}],"ec_funded":1,"author":[{"first_name":"Antonio","orcid":"0000-0002-9573-2962","full_name":"Agresti, Antonio","id":"673cd0cc-9b9a-11eb-b144-88f30e1fbb72","last_name":"Agresti"}],"citation":{"mla":"Agresti, Antonio. “Delayed Blow-up and Enhanced Diffusion by Transport Noise for Systems of Reaction-Diffusion Equations.” <i>Stochastics and Partial Differential Equations: Analysis and Computations</i>, Springer Nature, 2023, doi:<a href=\"https://doi.org/10.1007/s40072-023-00319-4\">10.1007/s40072-023-00319-4</a>.","ama":"Agresti A. Delayed blow-up and enhanced diffusion by transport noise for systems of reaction-diffusion equations. <i>Stochastics and Partial Differential Equations: Analysis and Computations</i>. 2023. doi:<a href=\"https://doi.org/10.1007/s40072-023-00319-4\">10.1007/s40072-023-00319-4</a>","ieee":"A. Agresti, “Delayed blow-up and enhanced diffusion by transport noise for systems of reaction-diffusion equations,” <i>Stochastics and Partial Differential Equations: Analysis and Computations</i>. Springer Nature, 2023.","short":"A. Agresti, Stochastics and Partial Differential Equations: Analysis and Computations (2023).","apa":"Agresti, A. (2023). Delayed blow-up and enhanced diffusion by transport noise for systems of reaction-diffusion equations. <i>Stochastics and Partial Differential Equations: Analysis and Computations</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s40072-023-00319-4\">https://doi.org/10.1007/s40072-023-00319-4</a>","chicago":"Agresti, Antonio. “Delayed Blow-up and Enhanced Diffusion by Transport Noise for Systems of Reaction-Diffusion Equations.” <i>Stochastics and Partial Differential Equations: Analysis and Computations</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1007/s40072-023-00319-4\">https://doi.org/10.1007/s40072-023-00319-4</a>.","ista":"Agresti A. 2023. Delayed blow-up and enhanced diffusion by transport noise for systems of reaction-diffusion equations. Stochastics and Partial Differential Equations: Analysis and Computations."},"type":"journal_article","year":"2023","date_created":"2023-02-02T10:45:47Z","scopus_import":"1","acknowledgement":"The author has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 948819).\r\nThe author thanks Lorenzo Dello Schiavo, Lucio Galeati and Mark Veraar for helpful comments. The author acknowledges Caterina Balzotti for her support in creating the picture. The author\r\nthanks the anonymous referee for helpful comments. ","oa_version":"Submitted Version","day":"28","publisher":"Springer Nature","ddc":["510"],"date_updated":"2023-12-18T07:53:45Z","month":"11","publication_status":"epub_ahead","date_published":"2023-11-28T00:00:00Z","tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"abstract":[{"lang":"eng","text":"This paper is concerned with the problem of regularization by noise of systems of reaction–diffusion equations with mass control. It is known that strong solutions to such systems of PDEs may blow-up in finite time. Moreover, for many systems of practical interest, establishing whether the blow-up occurs or not is an open question. Here we prove that a suitable multiplicative noise of transport type has a regularizing effect. More precisely, for both a sufficiently noise intensity and a high spectrum, the blow-up of strong solutions is delayed up to an arbitrary large time. Global existence is shown for the case of exponentially decreasing mass. The proofs combine and extend recent developments in regularization by noise and in the Lp(Lq)-approach to stochastic PDEs, highlighting new connections between the two areas."}],"oa":1,"main_file_link":[{"open_access":"1","url":"https://doi.org/10.1007/s40072-023-00319-4"}],"publication_identifier":{"eissn":["2194-041X"],"issn":["2194-0401"]},"project":[{"call_identifier":"H2020","name":"Bridging Scales in Random Materials","_id":"0aa76401-070f-11eb-9043-b5bb049fa26d","grant_number":"948819"}],"language":[{"iso":"eng"}],"_id":"12486","publication":"Stochastics and Partial Differential Equations: Analysis and Computations","doi":"10.1007/s40072-023-00319-4","external_id":{"arxiv":["2207.08293"]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","license":"https://creativecommons.org/licenses/by/4.0/","title":"Delayed blow-up and enhanced diffusion by transport noise for systems of reaction-diffusion equations","article_type":"original"}