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- W128497595 abstract "This chapter presents a comparison principle for steady-state diffusion operators. Physical intuition suggests that an analog of the familiar linear comparison principle (inequality on the boundary and satisfaction of a differential inequality implies inequality in the interior) should remain valid even if the diffusion coefficient varies fairly arbitrarily with concentration and its gradient so long as that coefficient remains positive and thereby preserves the basic character of Fickian diffusion. The comparison principle confirms this suggestion. The operators of similar mathematical structure also occur in the Reynold's equation of gas lubrication theory and in the minimal surface problem." @default.
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- W128497595 date "1977-01-01" @default.
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- W128497595 title "A COMPARISON PRINCIPLE FOR STEADY-STATE DIFFUSION OPERATORS" @default.
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- W128497595 doi "https://doi.org/10.1016/b978-0-12-434150-0.50012-6" @default.
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