Results 171 to 180 of about 1,529,309 (330)

First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
wiley   +1 more source

The porous medium equation: Large deviations and gradient flow with degenerate and unbounded diffusion

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract The problem of deriving a gradient flow structure for the porous medium equation which is thermodynamic, in that it arises from the large deviations of some microscopic particle system is studied. To this end, a rescaled zero‐range process with jump rate g(k)=kα,α>1$g(k)=k^\alpha, \alpha >1$ is considered, and its hydrodynamic limit and ...
Benjamin Gess, Daniel Heydecker
wiley   +1 more source

Capacitance Measurements for Evaluating Electrochemical Double‐Layer Models and Potentials of Zero Charge: A Reassessment

open access: yesChemPhysChem, EarlyView.
The electrochemical currents of oxide formation, hydrogen evolution reaction, and oxygen reduction reaction are shown to affect the potential dependencies of measured capacitances. Based on these findings, the routine approach of evaluating models for the electrochemical double layer and determining potentials of zero charge by capacitance measurements
Maximilian Schalenbach   +2 more
wiley   +1 more source

Newtonian heating effect in nanofluid flow by a permeable cylinder

open access: yesResults in Physics, 2017
Here characteristics of Newtonian heating in permeable stretched flow of viscous nanomaterial are investigated. Adopted nanomaterial model incorporates the phenomena of Brownian motion and thermophoresis.
T. Hayat   +3 more
doaj  

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