Results 241 to 250 of about 604,834 (284)

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

Banach Spaces Which Are Dual tok-Uniformly Convex Spaces

open access: yesJournal of Mathematical Analysis and Applications, 1997
MALUTA, ELISABETTA, PRUS S.
openaire   +3 more sources

Uniqueness on average of large isoperimetric sets in noncompact manifolds with nonnegative Ricci curvature

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract Let (Mn,g)$(M^n,g)$ be a complete Riemannian manifold which is not isometric to Rn$\mathbb {R}^n$, has nonnegative Ricci curvature, Euclidean volume growth, and quadratic Riemann curvature decay. We prove that there exists a set G⊂(0,∞)$\mathcal {G}\subset (0,\infty)$ with density 1 at infinity such that for every V∈G$V\in \mathcal {G}$ there ...
Gioacchino Antonelli   +2 more
wiley   +1 more source

Boundary conditions and universal finite‐size scaling for the hierarchical |φ|4$|\varphi |^4$ model in dimensions 4 and higher

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract We analyse and clarify the finite‐size scaling of the weakly‐coupled hierarchical n$n$‐component |φ|4$|\varphi |^4$ model for all integers n≥1$n \ge 1$ in all dimensions d≥4$d\ge 4$, for both free and periodic boundary conditions. For d>4$d>4$, we prove that for a volume of size Rd$R^{d}$ with periodic boundary conditions the infinite‐volume ...
Emmanuel Michta   +2 more
wiley   +1 more source

Formation of a Hemispherical Droplet in a Temperature Responsive Ionic Liquid by Optical Tweezers

open access: yesChemPhotoChem, EarlyView.
Liquid‐liquid phase separation of an ionic liquid/water mixture is induced with a near‐infrared laser beam on a glass substrate. The resultant droplet with a hemispherical cap shape is stably trapped at the laser focus. The micro droplet can be used to extract molecules, offering a new methodology to microanalysis of a tiny amounts of substances ...
Rai Kobayashi   +2 more
wiley   +1 more source

A Survey of Phase Shifters for Microwave Phased Array Systems

open access: yesInternational Journal of Circuit Theory and Applications, EarlyView.
ABSTRACT Phased Array Systems (PASs) are extensively used in radar and telecommunication systems for diverse applications, including military surveillance and wireless broadband communication. Besides, they are becoming increasingly indispensable in modern applications such as multi‐function phased array radars for weather monitoring and aircraft ...
M. Kebe, M. C. E. Yagoub, R. E. Amaya
wiley   +1 more source

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