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A variational principle for a nonlinear diffusion problem - MaRDI portal

A variational principle for a nonlinear diffusion problem (Q1060925)

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scientific article; zbMATH DE number 3910037
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English
A variational principle for a nonlinear diffusion problem
scientific article; zbMATH DE number 3910037

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    A variational principle for a nonlinear diffusion problem (English)
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    1985
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    Our intention is to construct an extremum variational principle for \[ d^ 2c/dx^ 2-\alpha c/(1+\beta c)=0,\quad dc/dx=0\quad at\quad x=0,\quad c=\gamma \quad at\quad x=L \] on the basis of the results given by \textit{D. S. Djukic} and the author, J. Math. Anal. Appl. 75, 203-218 (1980; Zbl 0429.65083).
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    micro-organisms
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    nonlinear boundary value problem
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    error estimate
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    extremum variational principle
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