Results 51 to 60 of about 32,857 (304)
An estimate on the hessian of the heat kernel [PDF]
Journées équations aux dérivées partielles, 1995 Summary: Let \(M\) be a compact, connected Riemannian manifold, and let \(p_t(x,y)\) denote the fundamental solution to Cauchy initial value problem for the heat equation \({\partial u\over\partial t}={1\over 2} \Delta u\), where \(\Delta\) is the Levi-Civita Laplacian.
openaire +2 more sources
Multimodal Data‐Driven Microstructure Characterization
Advanced Engineering Materials, EarlyView.A self‐consistent autonomous workflow for EBSP‐based microstructure segmentation by integrating PCA, GMM clustering, and cNMF with information‐theoretic parameter selection, requiring no user input. An optimal ROI size related to characteristic grain size is identified.
Qi Zhang +4 more
wiley +1 more source
Plants, 2022 Heat stress around flowering is harmful to maize growth and yield. Ear traits are closely related to yield; however, the effects of heat stress before and after flowering on ear development and yield traits remain unclear for different heat-tolerant ...
Na Wang +9 more
doaj +1 more source
Heat kernel and scaling of gravitational constants [PDF]
Physical Review D, 1995 We consider the non-local energy-momentum tensor of quantum scalar and spinor fields in $2 w$-dimensional curved spaces. Working to lowest order in the curvature we show that, while the non-local terms proportional to $\Box {\cal R}$, $\Box \Box{\cal R}$, $\ldots, \Box^{w-2} {\cal R}$ are fully determined by the early-time behaviour of the heat kernel,
Dalvit, D. A. R., Mazzitelli, F. D.
openaire +3 more sources
Adiabatic Limit, Heat Kernel and Analytic Torsion [PDF]
, 2018 We study the uniform behavior of the heat kernel under the adiabatic limit using microlocal analysis and apply it to derive a formula for the analytic torsion.
Melrose, Richard B, Dai, Xianzhe
core +1 more source
Creep‐Induced Microstructural Evolution in an A2‐B2 Superalloy
Advanced Engineering Materials, EarlyView.A 27.3Ta‐27.3Mo‐27.3Ti‐8Cr‐10Al (at.%) refractory high‐entropy alloy with precipitation‐strengthened A2‐B2 microstructure was studied by creep tests at 1030°C, which demonstrate a transition in deformation mechanisms in the range of 100–150 MPa applied stress. This is associated with changes in dislocation–precipitate interactions. Relevant deformation
Liu Yang +10 more
wiley +1 more source
On the generalised heat kernel
Вычислительные технологии, 2004 The authors investigate the equation \(\frac{\partial}{\partial t}u(x,t)=-c^2(-\triangle)^ku(x,t)\) with the initial conditions \(u(x,0)=f(x)\), where \(x\in{\mathbb R}^n\). The operator \(\triangle^k\) is said to be the Laplace operator iterated \(k\) times and is defined as \(\triangle^k=(\frac{\partial^2}{\partial x_1^2}+ \frac{\partial^2}{\partial ...
Nonlaopon, К., Kananthai, A.
openaire +2 more sources
Heat Kernels of Metric Trees and Applications [PDF]
SIAM Journal on Mathematical Analysis, 2013 We consider the heat semi-group generated by the Laplace operator on metric trees. Among our results we show how the behavior of the associated heat kernel depends on the geometry of the tree. As applications we establish new eigenvalue estimates for Schroedinger operators on metric trees.
Rupert L. Frank, Hynek Kovarík
openaire +3 more sources
Influence of Test Temperature and Test Frequency on Fatigue Life of Aluminum Alloy EN AW‐2618A
Advanced Engineering Materials, EarlyView.The influence of test temperature and test frequency on the fatigue life of EN AW‐2618A is investigated. High‐cycle fatigue tests are performed at different test temperatures and frequencies on the 1000 h/230°C overaged state. Both test parameters reduce fatigue life due to time‐dependent damage mechanisms.
Ying Han +5 more
wiley +1 more source
Gradient estimates for a weighted nonlinear parabolic equation and applications
Open Mathematics, 2020 This paper derives elliptic gradient estimates for positive solutions to a nonlinear parabolic equation defined on a complete weighted Riemannian manifold.
Abolarinwa Abimbola +2 more
doaj +1 more source