The Generalised Energy Identity and Length of Necks for ε -Harmonic Maps. [PDF]
J Geom AnalRoberts AM.
europepmc +1 more source
A Geometric Characterization of Steady Laminar Flow
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the steady states of the Euler equations on the periodic channel or annulus. We show that if these flows are laminar (layered by closed non‐contractible streamlines which foliate the domain), then they must be either parallel or circular flows.
Theodore D. Drivas, Marc Nualart
wiley +1 more source
Liquid-Vapor Transition in a Model of a Continuum Particle System with Finite-Range Modified Kac Pair Potential. [PDF]
Commun Math PhysHe Q, Jauslin I, Lebowitz J, Peled R.
europepmc +1 more source
A note on the multivariate local limit theorem
Given a Gaussian distribution G in l2 we construct l2-valued i.i.d. random variables X1,X2,... such that: weakly, F1 is absolutely continuous with respect to G, and the total variation Fn-G[not right arrow]0. This contrasts to Prokhorov's (Dokl.
Bloznelis, M.
core
Planar Coulomb Gas on a Jordan Arc at Any Temperature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study a planar Coulomb gas confined to a sufficiently smooth Jordan arc γ$\gamma$ in the complex plane, at inverse temperature β>0$\beta > 0$. Let Z¯nβ(γ)=Znβ(γ)((2cap(γ))βn2/2e(1−β/2)n(H(νe,γ)−H(νe,I)),$$\begin{equation*} \bar{Z}_{n}^\beta (\gamma)=\frac{Z_n^\beta (\gamma)}{((2\text{cap}(\gamma))^{\beta n^2/2}e^{(1-\beta /2)n(H(\nu _{e ...
K. Courteaut, K. Johansson, F. Viklund
wiley +1 more source
Inverse-Probability-Weighted Kernel Estimation of Regression Derivatives Under Missing-at-Random Responses for Stationary Ergodic Processes. [PDF]
Entropy (Basel)Bouzebda S, Didi S.
europepmc +1 more source
Clinical Pharmacology &Therapeutics, EarlyView.Traditional dosing strategies often rely on a “one‐size‐fits‐all” paradigm, assuming an “average” patient with typical demographic and pharmacological characteristics. In reality, this often overlooks existing between‐patient variability and can lead to suboptimal drug exposure or toxicity. This issue is especially pronounced in pediatric patients, who
Zachary L. Taylor +12 more
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Gradient Flow Dynamics for Cell Membranes in the Canham-Helfrich Model. [PDF]
Arch Ration Mech AnalRupp F, Scharrer C, Schlierf M.
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Improved Conservative Scheme for Lenard‐Bernstein Collisions in Gyrokinetic Turbulence Simulations
Contributions to Plasma Physics, EarlyView.ABSTRACT Turbulence in the edge and scrape‐off layer regions plays a critical role for the performance of future magnetic confinement fusion power plants. Gyrokinetic simulations allow studying this regime with high fidelity. A key aspect in these regions is the high concentration of impurities, which can radiate energy, leading to significant losses ...
Andrew Ivan Sulimro +3 more
wiley +1 more source
On a generalization of Cannon's conjecture for cubulated hyperbolic groups. [PDF]
Math AnnBregman C, Incerti-Medici M.
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