Local existence result of the single dopant diffusion including cluster reactions of high order
Bader, R. ; Merz, W.
Abstr. Appl. Anal., Tome 6 (2001) no. 1, p. 13-34 / Harvested from Project Euclid
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We consider the pair diffusion process which includes cluster reactions of high order. We are able to prove a local (in time) existence result in arbitrary space dimensions. The model includes a nonlinear system of reaction-drift-diffusion equations, a nonlinear system of ordinary differential equations in Banach spaces, and a nonlinear elliptic equation for the electrochemical potential. The local existence result is based on the fixed point theorem of Schauder.
Publié le : 2001-05-14
Classification:  34A34,  34G20,  35J60,  35K45,  35K57 
@article{1050266656,
     author = {Bader, R. and Merz, W.},
     title = {Local existence result of the single dopant diffusion including
 cluster reactions of high order},
     journal = {Abstr. Appl. Anal.},
     volume = {6},
     number = {1},
     year = {2001},
     pages = { 13-34},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1050266656}
}

Bader, R.; Merz, W. Local existence result of the single dopant diffusion including
 cluster reactions of high order. Abstr. Appl. Anal., Tome 6 (2001) no. 1, pp.  13-34. http://gdmltest.u-ga.fr/item/1050266656/