RT Journal Article
T1 On some delayed nonlinear parabolic equations modeling CO oxidation
A1 Díaz Díaz, Jesús Ildefonso
A1 Casal, Alfonso C.
A1 Stich, Michael
AB It is known that several features of many react ion-diffusion systems can be studied through an associated Complex Ginzburg-Landau Equation (CGLE). In particular, the study of the catalytic CO oxidation leads to the Krischer-Eiswirth-Ertl model, a nonlinear parabolic system, which can be controlled by a delayed feedback term. For the control of its uniform oscillations, we had already studied the corresponding delayed CGLE, developing first a pseudolinearization principle, of a very broad applicability, which led us to a range of parameters for the stability of those oscillations. In this work we first present some simulations which confirm the mentioned range of parameters, and gives other ranges for different behavior. Out of the setting of the CGLE, the dynamics is richer, so we present another method for the study of the existence, (monotonicity methods) and stability (with the pseudolinearization principle), directly for the mentioned parabolic system.
PB Watam Press
SN 1201-3390
YR 2006
FD 2006-10
LK https://hdl.handle.net/20.500.14352/49960
UL https://hdl.handle.net/20.500.14352/49960
LA spa
NO DGISGPI (Spain) and the Univ. Politecnica de Madrid
NO EU
DS Docta Complutense
RD 7 abr 2025