The work is devoted to reaction-diffusion-convection problems in unbounded cylinders. We study the Fredholm property and properness of the corresponding elliptic operators and define the topological degree. Together with analysis of the spectrum of the linearized operators it allows us to study bifurcations of solutions, to prove existence of convective waves, and to make some conclusions about their stability.
@article{urn:eudml:doc:44499,
title = {Reaction-diffusion-convection problems in unbounded cylinders.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {16},
year = {2003},
pages = {233-276},
zbl = {1048.35034},
mrnumber = {MR2031883},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44499}
}
Texier-Picard, Rozenn; Volpert, Vitaly A. Reaction-diffusion-convection problems in unbounded cylinders.. Revista Matemática de la Universidad Complutense de Madrid, Tome 16 (2003) pp. 233-276. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44499/