Results 41 to 50 of about 2,529,562 (187)
Communications 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
Computing Periods of Hypersurfaces
, 2019 We give an algorithm to compute the periods of smooth projective hypersurfaces of any dimension. This is an improvement over existing algorithms which could only compute the periods of plane curves.
Sertöz, Emre Can
core +1 more source
Communications on Pure and Applied Mathematics, EarlyView.Abstract We consider the global dynamics of finite energy solutions to energy‐critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that any finite energy equivariant solutions to (HMHF) decompose into finitely many harmonic maps (bubbles) separated by scales and a body map, as approaching to the ...
Kihyun Kim, Frank Merle
wiley +1 more source
Electrochemical Science Advances, EarlyView.ABSTRACT Proton‐exchange membrane (PEM) water electrolysis is pivotal for green hydrogen production, necessitating accurate predictive models to manage their non‐linearities and expedite commercial deployment. Understanding degradation mechanisms through macro‐scale modeling and uncertainty quantification (UQ) is crucial for advancing this technology ...
Violeta Karyofylli +7 more
wiley +1 more source
Spectral/quadrature duality: Picard-Vessiot theory and finite-gap potentials
, 2012 In the framework of differential Galois theory we treat the classical spectral problem $\Psi"-u(x)\Psi=\lambda\Psi$ and its finite-gap potentials as exactly solvable in quadratures by Picard--Vessiot without involving special functions; the ideology goes
Brezhnev, Yurii V.
core +1 more source
Similarity solutions and conservation laws for the Beam Equations: a complete study [PDF]
arXiv, 2020 We study the similarity solutions and we determine the conservation laws of the various forms of beam equation, such as, Euler-Bernoulli, Rayleigh and Timoshenko-Prescott. The travelling-wave reduction leads to solvable fourth-order odes for all the forms.
arxiv
SDF‐Guided Point Cloud Generation Framework for Mesh‐Free CFD
International Journal for Numerical Methods in Fluids, EarlyView.This paper presents different methods for generating clouds of points around objects for use with meshless methods in computational fluid dynamics. This image shows the cloud generated around the original ROBIN body. ABSTRACT Meshing is a bottleneck of CFD workflows, especially when complex geometries are considered.
Tao Zhang, George N. Barakos
wiley +1 more source
Conditional symmetries and exact solutions of the diffusive Lotka-Volterra system
, 2010 Q-conditional symmetries of the classical Lotka-Volterra system in the case of one space variable are completely described and a set of such symmetries in explicit form is constructed. The relevant non-Lie ans\"atze to reduce the classical Lotka-Volterra
Cherniha, Roman, Davydovych, Vasyl'
core +1 more source
Determination of heat transfer coefficients in wood‐based panel finishing
Materialwissenschaft und Werkstofftechnik, EarlyView.The paper investigates the combination of experimental data with a thermal model and parameter estimations to determine the heat transfer coefficients of a specific production step of wood‐based panel manufacturing. Abstract Wood‐based panels such as fiberboard, have become indispensable materials in everyday life ‐ from furniture to outdoor paneling ...
N. Zechner +3 more
wiley +1 more source
Exponential-Krylov methods for ordinary differential equations
, 2014 This paper develops a new class of exponential-type integrators where all the matrix exponentiations are performed in a single Krylov space of low dimension.
Sandu, Adrian, Tranquilli, Paul
core +1 more source