Results 91 to 100 of about 73,165 (262)

Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley   +1 more source

COMPLEX P-LAPLACIAN ON KAHLER MANIFOLDS AND ITS APPLICATIONS [PDF]

, 2014
From a geometric point of view, we use coordinates as the main tool to define the holomorphic gradient, the antiholomorphic gradient, and the complex gradient of a complex-valued function on Kahler manifolds. Then we define the holomorphic Laplacian, the
Qu, Hong
core  

Towards a Mean‐Field Braginskii Model for Stellarators

Contributions to Plasma Physics, EarlyView.
ABSTRACT Experiments in the stellarator Wendelstein 7‐X indicate that particle drifts have a significant impact on the plasma in the scrape‐off layer. However, drift effects have been absent in the mean‐field transport codes such as EMC3‐Eirene. For this reason, we present the first steps towards a mean‐field model that incorporates drifts. The code is
T. Tork, F. Reimold, D. Bold, B. Shanahan, B. Dudson, A. Stegmeir, P. Manz, The W7‐X Team   +7 more
wiley   +1 more source

Population Pharmacokinetics and Detection Times of Betamethasone After Intravenous, Intramuscular, and Intranasal Jet Administration of Betamethasone Sodium Phosphate in Horses

Drug Testing and Analysis, EarlyView.
Betamethasone concentrations in 20 horses from Japan and Germany following IV, IM, and INJ administration of betamethasone phosphate were analyzed using population pharmacokinetic modeling. For IV administration of 0.04 mg/kg q24 h, IPC and IUC were 0.012 and 0.31 ng/mL, respectively; the IUC approximated the IFHA urine ISL (0.20 ng/mL).
Taisuke Kuroda, Marc Machnik, Mario Thevis, Yohei Minamijima, Gary Ngai‐Wa Leung, Motoi Nomura, Fumiaki Mizobe, Yuhiro Ishikawa, Kazuhiro Kamiya, Pierre‐Louis Toutain   +9 more
wiley   +1 more source

Riesz potential versus fractional Laplacian [PDF]

, 2014
This paper starts by introducing the Grünwald–Letnikov derivative, the Riesz potential and the problem of generalizing the Laplacian. Based on these ideas, the generalizations of the Laplacian for 1D and 2D cases are studied.
Laleg-Kirati, Taous-Meriem, Ortigueira, Manuel Duarte, Ortigueira, Manuel D., Machado, José António Tenreiro, Machado, J. A. Tenreiro   +4 more
core   +1 more source

Brain‐wide magnetic resonance imaging analysis of neurobehavioral comorbidities in temporal lobe epilepsy

Epilepsia, EarlyView.
Abstract Objective In temporal lobe epilepsy (TLE), patients often present with neurobehavioral comorbidities encompassing affective and cognitive difficulties. Whereas the latter have been related to atypical connectivity of mesiotemporal and frontotemporal circuits, the brain basis of affective symptoms remains incompletely understood.
Fatemeh Fadaie, Benoit Caldairou, Boris C. Bernhardt, Andrea Bernasconi, Neda Bernasconi   +4 more
wiley   +1 more source

On the Eigenvalues and Energy of the Seidel and Seidel Laplacian Matrices of Graphs

Discrete Dynamics in Nature and Society
Let SΓ be a Seidel matrix of a graph Γ of order n and let DΓ=diagn−1−2d1,n−1−2d2,…,n−1−2dn be a diagonal matrix with di denoting the degree of a vertex vi in Γ. The Seidel Laplacian matrix of Γ is defined as SLΓ=DΓ−SΓ.
J. Askari, Kinkar Chandra Das, Yilun Shang   +2 more
doaj   +1 more source

Positive solutions for m-point boundary-value problems with one-dimensional p-Laplacian

, 2011
In this paper, we investigate the existence of positive solutions for a classes of m-point boundary value problems with p-Laplacian. By applying a monotone iterative technique, some sufficient conditions for the existence of twin positive solutions are ...
Xinguang Zhang (18151176), L. Liu (95204)   +1 more
core  

Quadrature domains and p-Laplacian growth [PDF]

, 2009
The classical Hele-Shaw (Laplacian-growth) problem is generalised to power-law fluids (satisfying the p-Laplace equation) and a number of results are established that are analogous to some of those involving null-quadrature domains in the former.
King, John R., McCue, Scott W.
core   +1 more source

Immersed Boundary Projection Method for Boundaries With Slip Velocities

International Journal for Numerical Methods in Fluids, EarlyView.
A formulation of the immersed boundary method for incompressible flow over arbitrarily‐shaped bodies with surface slip described by the Navier boundary condition is presented. The wall slip velocity and the boundary force are determined implicitly through a projection to satisfy both the boundary condition and the divergence‐free condition of the ...
Takehiro Fujii, Takeshi Omori
wiley   +1 more source