{"schema":"pith.reference-change-event.v1","doi":"10.1007/s10884-025-10458-y","canonical_url":"https://pith.science/event/10.1007/s10884-025-10458-y","json_url":"https://pith.science/event/10.1007/s10884-025-10458-y.json","not_a_judgment":"This page records that a citing paper's bibliography includes a work with a published notice. It is not a judgment on the citing paper.","primary":{"event_id":225055,"doi":"10.1007/s10884-025-10458-y","event_type":"correction","event_type_label":"Correction","source":"crossref","source_label":"Crossref","event_date":"2026-02-23","title":"Correction to: The Burgers-FKPP advection-reaction-diffusion equation with cut-off","work_title":"The Burgers-FKPP advection-reaction- diffusion equation with cut-off","work_doi":"10.1007/s10884-025-10458-y","work_arxiv_id":null,"notice_doi":"10.1007/s10884-025-10463-1","flag_count":0,"flags_open":0,"flags_disputed":0,"latest_flag_at":null,"human_href":"/event/10.1007/s10884-025-10458-y","json_href":"/event/10.1007/s10884-025-10458-y.json"},"events":[{"event_id":225055,"doi":"10.1007/s10884-025-10458-y","event_type":"correction","event_type_label":"Correction","source":"crossref","source_label":"Crossref","event_date":"2026-02-23","title":"Correction to: The Burgers-FKPP advection-reaction-diffusion equation with cut-off","work_title":"The Burgers-FKPP advection-reaction- diffusion equation with cut-off","work_doi":"10.1007/s10884-025-10458-y","work_arxiv_id":null,"notice_doi":"10.1007/s10884-025-10463-1","flag_count":0,"flags_open":0,"flags_disputed":0,"latest_flag_at":null,"human_href":"/event/10.1007/s10884-025-10458-y","json_href":"/event/10.1007/s10884-025-10458-y.json"}],"flags":[{"id":2531,"status":"open","status_label":"Open","citing_arxiv_id":"2604.22108","citing_title":"Large time behavior and transition from vanishing to spreading regimes for the generalized Burgers-Fisher-KPP equation","ref_index":27,"evidence_raw":"N. Popovic, M. Ptashnyk and Z. Sattar,The Burgers-FKPP advection-reaction- diffusion equation with cut-off, J. Dyn. Differ. Equations (online first), DOI https://doi.org/10.1007/s10884-025-10458-y, 27p","evidence_cleaned":null,"evidence_source_label":"bibliography line","event_type":"correction","event_type_label":"Correction","source_label":"Crossref","event_date":"2026-02-23","work_title":"The Burgers-FKPP advection-reaction- diffusion equation with cut-off","work_doi":"10.1007/s10884-025-10458-y","event_doi":"10.1007/s10884-025-10458-y","flag_href":"/flags/2531","event_href":"/event/10.1007/s10884-025-10458-y","paper_href":"/paper/2604.22108","created_at":"2026-07-11T03:18:59.475135Z","dispute_note":null,"disputed_at":null,"disputed_by":null},{"id":2532,"status":"open","status_label":"Open","citing_arxiv_id":"2605.13313","citing_title":"A Guide to Applications of $k$-Contact Geometry in Dissipative Field Equations","ref_index":55,"evidence_raw":"the last two equations yieldp x v =−D(u)u x andp x u =−D(u)v x. Moreover, the equation for ubecomes −∂tu−∂ xpx v =C(u)− B(u) D(u) px v . Substitutingp x v =−D(u)u x, we obtain ut −∂ x D(u)u x \u0001 +B(u)u x +C(u) = 0.(20) Hence, this two-contact Hamiltonian system induces a whole family of generalized Burgers- type equations of convection-diffusion-reaction type [55]. Several relevant cases are recovered immediately. IfD(u) =ν >0 is constant and C(u) = 0, then (20) reduces tou t +B(u)u x =νu xx. In particular, forB(u) =uone recovers the viscous Burgers equationu t +u u x =νu xx (see for instance [63]). More generally, if D(u) =νis constant, then (20) becomesu t +B(u)u x =νu xx −C(u), which includes Burgers-type equations with reaction terms, namely withC(u)̸= 0 (cf.","evidence_cleaned":"the last two equations yieldp x v =−D(u)u x andp x u =−D(u)v x. Moreover, the equation for ubecomes −∂tu−∂ xpx v =C(u)− B(u) D(u) px v . Substitutingp x v =−D(u)u x, we obtain ut −∂ x D(u)u x \u0001 +B(u)u x +C(u) = 0.(20) Hence, this two-contact Hamiltonian system induces a whole family of generalized Burgers- type equations of convection-diffusion-reaction type [55]. Several relevant cases are recovered immediately. IfD(u) =ν >0 is constant and C(u) = 0, then (20) reduces tou t +B(u)u x =νu xx. In particular, forB(u) =uone recovers the viscous Burgers equationu t +u u x =νu xx (see for instance [63]). More generally, if D(u) =νis constant, then (20) becomesu t +B(u)u x =νu xx −C(u), which includes Burgers-type equations with reaction terms, namely withC(u)̸= 0 (cf","evidence_source_label":"citation context","event_type":"correction","event_type_label":"Correction","source_label":"Crossref","event_date":"2026-02-23","work_title":"The Burgers-FKPP advection-reaction- diffusion equation with cut-off","work_doi":"10.1007/s10884-025-10458-y","event_doi":"10.1007/s10884-025-10458-y","flag_href":"/flags/2532","event_href":"/event/10.1007/s10884-025-10458-y","paper_href":"/paper/2605.13313","created_at":"2026-07-11T03:18:59.475135Z","dispute_note":null,"disputed_at":null,"disputed_by":null}],"flag_count":2,"flags_open":2,"flags_disputed":0,"desk_url":"https://pith.science/flags"}