{"paper":{"title":"Global in time solutions to stochastic reaction-diffusion systems with superlinear reactions satisfying a triangular control of mass","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Suitable multiplicative noise ensures global-in-time solutions for stochastic reaction-diffusion systems obeying triangular mass control.","cross_cats":["math.AP"],"primary_cat":"math.PR","authors_text":"Dionysis Milesis, Michael Salins","submitted_at":"2026-04-08T03:42:27Z","abstract_excerpt":"We study systems of reaction-diffusion equations perturbed by multiplicative noise, where the reaction terms satisfy quasipositivity, a triangular mass-control structure, and polynomial growth. Our results apply to a broad class of reaction-diffusion systems arising, most notably, in chemistry and biology. In the deterministic setting these assumptions are known to guarantee the global existence of solutions. In the stochastic setting, however, reaction-diffusion systems have typically been analyzed under different assumptions on the reactions that preclude many natural models, such as reversi"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"stochastically perturbing reaction-diffusion systems with triangular mass control by suitable multiplicative noise leads to solutions that exist for all time.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The reaction terms satisfy quasipositivity, a triangular mass-control structure, and polynomial growth; the noise is suitable multiplicative noise.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Stochastic reaction-diffusion systems with triangular mass control admit global solutions under suitable multiplicative noise.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Suitable multiplicative noise ensures global-in-time solutions for stochastic reaction-diffusion systems obeying triangular mass control.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"0aa57ce445f0707b1abec4745cf5e807e127b8dd00acb451534393ab44161e04"},"source":{"id":"2604.06645","kind":"arxiv","version":2},"verdict":{"id":"bfc95e14-fd1d-4789-9d96-ed95fab75e15","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-10T18:35:40.689707Z","strongest_claim":"stochastically perturbing reaction-diffusion systems with triangular mass control by suitable multiplicative noise leads to solutions that exist for all time.","one_line_summary":"Stochastic reaction-diffusion systems with triangular mass control admit global solutions under suitable multiplicative noise.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The reaction terms satisfy quasipositivity, a triangular mass-control structure, and polynomial growth; the noise is suitable multiplicative noise.","pith_extraction_headline":"Suitable multiplicative noise ensures global-in-time solutions for stochastic reaction-diffusion systems obeying triangular mass control."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.06645/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"51ad7780dcb341a7890b31a1e23da833417ee42f170b6a86a43870554c050b86"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}