Origin of the p-Laplacian and A. Missbach

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F18%3A43950870" target="_blank" >RIV/49777513:23520/18:43950870 - isvavai.cz</a>
Result on the web
<a href="https://ejde.math.txstate.edu/Volumes/2018/16/benedikt.pdf" target="_blank" >https://ejde.math.txstate.edu/Volumes/2018/16/benedikt.pdf</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Origin of the p-Laplacian and A. Missbach
Original language description
We describe the historical process of derivation of the p-Laplace operator from a nonlinear Darcy law and the continuity equation. The story begins with nonlinear flows in channels and ditches. As the nonlinear Darcy law we use the power law discovered by Smreker and verified in experiments by Missbach for flows through porous media in one space dimension. These results were generalized by Christianovitch and Leibenson to porous media in higher space dimensions. We provide a brief description of Missbach's experiments.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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