The effectiveness factor of reaction-diffusion equations: homogenization and existence of optimal Pellet shapes
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Publication:1691834
DOI10.1007/BF03377396zbMath1386.35098MaRDI QIDQ1691834
Claudia Timofte, Jesús Ildefonso Díaz, David Gómez-Castro
Publication date: 25 January 2018
Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)
Optimality conditions for problems involving partial differential equations (49K20) Asymptotic behavior of solutions to PDEs (35B40) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Semilinear elliptic equations (35J61)
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Unnamed Item ⋮ On the asymptotic limit of the effectiveness of reaction-diffusion equations in periodically structured media ⋮ Model of stationary diffusion with absorption in domains with fine-grained random boundaries
Cites Work
- Steiner symmetrization for concave semilinear elliptic and parabolic equations and the obstacle problem
- Homogenization of the \(p\)-Laplacian with nonlinear boundary condition on critical size particles: identifying the strange term for the some non smooth and multivalued operators
- Averaging of boundary-value problems for the Laplace operator in perforated domains with a nonlinear boundary condition of the third type on the boundary of cavities
- Homogenization of boundary value problems in perforated domains with the third boundary condition and the resulting change in the character of the nonlinearity in the problem
- A note on optimal domains in a reaction-diffusion problem
- Homogenization in open sets with holes
- An introduction to \(\Gamma\)-convergence
- On the homogenization of the Poisson equation in partially perforated domains with arbitrary density of cavities and mixed type conditions on their boundary
- Homogenization of Reaction--Diffusion Processes in a Two-Component Porous Medium with Nonlinear Flux Conditions at the Interface
- Effective Chemical Processes in Porous Media
- An elliptic equation with singular nonlinearity
- Non-homogeneous Neumann problems in domains with small holes
- Optimum composite material design
- Homogenization and correctors of a class of elliptic problems in perforated domains
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