We give some results on the existence, uniqueness and regularity of a nonlinear evolution system. This system models the viscoelastic behaviour of unicellular marine alga Acetabularia mediterrania when the calcium concentration varies. We show (with the aid of a fixed-point theorem) that the system admits a unique local solution in time.
@article{urn:eudml:doc:41098,
title = {Existence et unicit\'e de la solution pour un syst\`eme de deux E.D.P.},
journal = {Publicacions Matem\`atiques},
volume = {33},
year = {1989},
pages = {313-327},
mrnumber = {MR1030969},
zbl = {0702.35144},
language = {fr},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41098}
}
Ghannam, Lahcen. Existence et unicité de la solution pour un système de deux E.D.P.. Publicacions Matemàtiques, Tome 33 (1989) pp. 313-327. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41098/