SHADOW LIMIT FOR PARABOLIC-ODE SYSTEMS THROUGH A CUT-OFF ARGUMENT - Archive ouverte HAL
Article Dans Une Revue Rad Hrvat. Akad. Znan. Umjet. Mat. Znan. Année : 2017

SHADOW LIMIT FOR PARABOLIC-ODE SYSTEMS THROUGH A CUT-OFF ARGUMENT

Résumé

We study a shadow limit (the infinite diffusion coefficient-limit) of a system of ODEs coupled with a diagonal system of semilinear heat equations in a bounded domain with homogeneous Neumann boundary conditions. The recent convergence proof by the energy approach from [19], developed for the case of a single PDE, is revisited and generalized to the case of the coupled system. Furthermore, we give a new convergence proof relying on the introduction of a well-prepared related cutoff system and on a construction of the barrier functions and comparison test functions , new in the literature. It leads to the L ∞-estimates proportional to the inverse of the diffusion coefficient.
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Dates et versions

hal-01531288 , version 1 (12-06-2017)

Identifiants

Citer

Anna Marciniak-Czochra, Andro Mikelic. SHADOW LIMIT FOR PARABOLIC-ODE SYSTEMS THROUGH A CUT-OFF ARGUMENT. Rad Hrvat. Akad. Znan. Umjet. Mat. Znan. , 2017, 21, pp.99-116. ⟨10.21857/ydkx2c3rp9⟩. ⟨hal-01531288⟩
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