Results 11 to 20 of about 68 (58)
Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati +2 more
wiley +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
Kernel Bounds for Parabolic Operators Having First‐Order Degeneracy at the Boundary
Mathematische Nachrichten, EarlyView.ABSTRACT We study kernel estimates for parabolic problems governed by singular elliptic operators ∑i,j=1N+1qijDij+cDyy,cγ+1>0,γ=qN+1,N+1,$$\begin{equation*} \sum _{i,j=1}^{N+1}q_{ij}D_{ij}+c\frac{D_y}{y},\qquad \frac{c}{\gamma }+1>0, \quad \gamma =q_{N+1,N+1}, \end{equation*}$$in the half‐space R+N+1={(x,y):x∈RN,y>0}$\mathbb {R}^{N+1}_+=\lbrace (x,y ...
L. Negro, C. Spina
wiley +1 more source
Exploring fundus‐controlled mesopic and scotopic perimetry in inherited retinal disease
Acta Ophthalmologica, EarlyView.Abstract Purpose Microperimetry is increasingly used as an outcome measure in clinical trials for retinal disease. This study compares mesopic and scotopic microperimetry in a heterogeneous cohort of patients with inherited retinal disease to assess their suitability as clinical trial outcome measures and to determine the most appropriate testing ...
Laura J. Taylor +4 more
wiley +1 more source
Approximating multidimensionality with asymmetric unidimensional IRT models
British Journal of Mathematical and Statistical Psychology, EarlyView.Abstract Unidimensional item response theory (IRT) models are widely used even in settings where assessment data exhibit subtle forms of multidimensionality. Recent empirical evidence suggests that when item difficulty is associated with dimensionality, asymmetric item characteristic curves (ICCs) emerge in the unidimensional approximation.
Xiangyi Liao +5 more
wiley +1 more source
Calibrating Bayesian inference
British Journal of Mathematical and Statistical Psychology, EarlyView.Abstract Bayesian statistics has gained popularity in psychological research due to its intuitive uncertainty quantification and convenient information‐updating rules. In many applications, however, prior distributions are introduced merely as instruments to facilitate computation, rather than as representations of genuine subjective belief ...
Yang Liu +2 more
wiley +1 more source
Clinical &Experimental Ophthalmology, EarlyView.ABSTRACT Background The lack of validated and sensitive clinical endpoints remains a major challenge in the design of gene therapy trials for inherited retinal dystrophies (IRDs). This prospective longitudinal cohort study describes the natural disease progression of IRDs caused by pathogenic mutations in the Crumbs homologue 1 (CRB1) gene, and ...
Jessica S. Karuntu +15 more
wiley +1 more source
Fast Injective Mesh Parameterization via Beltrami Coefficient Prolongation
Computer Graphics Forum, EarlyView.Abstract We present a highly efficient and robust method for free boundary injective parameterization of disk‐like triangle meshes with low isometric distortion. Harmonic function–based approaches, grounded in a strong mathematical framework, are widely employed.
G. Fargion, O. Weber
wiley +1 more source
Volume Quantization with Flexible Singularities for Hexahedral Meshing
Computer Graphics Forum, EarlyView.Abstract We present a novel algorithm for quantization and subsequent hexahedral mesh generation from seamless volumetric maps. Quantization is the process of choosing integers that represent the numbers of hexahedral elements to be placed in each region of the volume, and transforming the seamless map into an integer‐grid map matching that choice ...
H. Brückler, M. Campen
wiley +1 more source
Survey on differential estimators for 3d point clouds
Computer Graphics Forum, EarlyView.Abstract Recent advancements in 3D scanning technologies, including LiDAR and photogrammetry, have enabled the precise digital replication of real‐world objects. These methods are widely used in fields such as GIS, robotics, and cultural heritage. However, the point clouds generated by such scans are often noisy and unstructured, posing challenges for ...
Léo Arnal–Anger +4 more
wiley +1 more source