Scheda di dettaglio – i prodotti della ricerca
| Dato | Valore |
|---|---|
| Title | Modeling plant water deficit by a non-local root water uptake term in the unsaturated flow equation |
| Abstract | In this paper we present a novel way to mathematically frame the concept of ecological memory of plant water stress in the context of root water uptake in unsaturated flow equations. Inspired by recent eco-hydrological papers, we model the water absorption by roots with a non-local sink term, accounting also for a memory effect. In order to model such a memory effect, an integral equation is defined; the main purpose of this work is to provide sufficient conditions on the functions at play for ensuring existence and uniqueness of its solution. Finally, tailored numerical methods are implemented, and numerical simulations are also provided. |
| Source | Communications in nonlinear science & numerical simulation 128 |
| Keywords | Richards' equation - Root water uptake - Ecological memory - Fractional calculus |
| Journal | Communications in nonlinear science & numerical simulation |
| Editor | Elsevier, Beijing ;, Paesi Bassi |
| Year | 2024 |
| Type | Articolo in rivista |
| DOI | 10.1016/j.cnsns.2023.107583 |
| Authors | Marco Berardi; Giovanni Girardi |
| Text | 488324 2024 10.1016/j.cnsns.2023.107583 Richards equation Root water uptake Ecological memory Fractional calculus Modeling plant water deficit by a non local root water uptake term in the unsaturated flow equation Marco Berardi; Giovanni Girardi Consiglio Nazionale delle Ricerche, Istituto di Ricerca sulle Acque; Dipartimento di Ingegneria Industriale e Scienze Matematiche, Universita Politecnica delle Marche In this paper we present a novel way to mathematically frame the concept of ecological memory of plant water stress in the context of root water uptake in unsaturated flow equations. Inspired by recent eco hydrological papers, we model the water absorption by roots with a non local sink term, accounting also for a memory effect. In order to model such a memory effect, an integral equation is defined; the main purpose of this work is to provide sufficient conditions on the functions at play for ensuring existence and uniqueness of its solution. Finally, tailored numerical methods are implemented, and numerical simulations are also provided. 128 Published version Berardi_Girardi_CNSNS_2024 Berardi_Girardi_CNSNS_2024.pdf Articolo in rivista Elsevier 1007 5704 Communications in nonlinear science numerical simulation Communications in nonlinear science numerical simulation Communications in nonlinear science and numerical simulation Communications in nonlinear science and numerical simulation marco.berardi BERARDI MARCO DIT.AD014.066.004 ARS01_00815_TEBAKA IRSA Ba |