Geodesic
A semilinear parabolic boundary-value problem in bioreactors theory
Electronic journal of differential equations, Tome 2004 (2004)
In this paper, we analyze a dynamical model describing the behavior of bioreactors with diffusion. We obtain a convergence result for solutions of asymptotically autonomous semilinear parabolic equations to steady state solutions of the limiting equations. This allows us to establish the convergence of solutions of the initial value problem that describes the dynamics of the bioreactor.
Classification : 92B05, 35B40, 35K60
Keywords: bioreactors, semilinear equation, asymptotically autonomous, omega limit sets 
@article{EJDE_2004__2004__a42,
     author = {Dram\'e,  Abdou Khadry},
     title = {A semilinear parabolic boundary-value problem in bioreactors theory},
     journal = {Electronic journal of differential equations},
     year = {2004},
     volume = {2004},
     zbl = {1065.92024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a42/}
}
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%A Dramé,  Abdou Khadry
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%J Electronic journal of differential equations
%D 2004
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Dramé,  Abdou Khadry. A semilinear parabolic boundary-value problem in bioreactors theory. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a42/