This paper is concerned with the Lengyel–Epstein model for interacting chemicals under Dirichlet–Neumann boundary data. This model describe the reaction between iodide, malonic and clorite acid (CIMA reaction). In particular the Lengyel–Epstein model that takes into account the effect of illumination of the reaction cell is investigated. It is shown that the solutions are bounded. The linear stability of the steady states is discussed. Conditions guaranteeing the nonlinear stability are also obtained.
On the dynamics of the Lengyel–Epstein model with forcing intensity / Rionero, Salvatore; Vitiello, Maria. - In: RICERCHE DI MATEMATICA. - ISSN 0035-5038. - STAMPA. - 67:2(2018), pp. 739-754. [10.1007/s11587-017-0345-9]
On the dynamics of the Lengyel–Epstein model with forcing intensity
Vitiello, Maria
2018-01-01
Abstract
This paper is concerned with the Lengyel–Epstein model for interacting chemicals under Dirichlet–Neumann boundary data. This model describe the reaction between iodide, malonic and clorite acid (CIMA reaction). In particular the Lengyel–Epstein model that takes into account the effect of illumination of the reaction cell is investigated. It is shown that the solutions are bounded. The linear stability of the steady states is discussed. Conditions guaranteeing the nonlinear stability are also obtained.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
