Results 61 to 70 of about 4,284 (195)
Some generalizations of Calabi compactness theorem [PDF]
In this paper we obtain generalized Calabi-type compactness criteria for complete Riemannian manifolds that allow the presence of negative amounts of Ricci curvature.
Bianchini, Bruno +2 more
core +1 more source
ABSTRACT A thorough understanding of turbine wakes is essential for various aspects of wind energy, including turbine siting, load evaluation, and wind farm control. However, high‐fidelity time‐domain computational fluid dynamics (CFD) simulations that consider all possible turbulent inflow wind conditions are computationally expensive and impractical ...
Wenhao Xu, Gaohua Li, Feng Guo, Zhen Gao
wiley +1 more source
Asymptotic behaviour of solutions to $n$-order functional differential equations
We establish conditions for the linear differential equation $$ y^{(n)}(t)+p(t)y(g(t))=0 $$ to have property A. Explicit sufficient conditions for the oscillation of the the equation is obtained while dealing with the property A of the equations.
Seshadev Padhi
doaj
A cost-effective strategy for nonoscillatory convection without clipping [PDF]
Clipping of narrow extrema and distortion of smooth profiles is a well known problem associated with so-called high resolution nonoscillatory convection schemes.
Leonard, B. P., Niknafs, H. S.
core +1 more source
Wormholes in de Sitter branes [PDF]
In this work we present a class of geometries which describes wormholes in a Randall-Sundrum brane model, focusing on de Sitter backgrounds. Maximal extensions of the solutions are constructed and their causal structures are discussed.
Molina, C., Neves, J. C. S.
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Numerical modelling investigation of finite‐amplitude subaqueous dune saturation
Our work demonstrates how finite amplitude dunes in limited depth flows reach a saturation state, preventing their growth. Saturation occurs when the intensity of the turbulent mixing reaches critical thresholds, enhanced by the confinement, reducing inertia and stirring large quantities of suspended sediment downstream of dune crests.
Arnaud Doré, Giovanni Coco
wiley +1 more source
Non-oscillatory behaviour of higher order functional differential equations of neutral type
In this paper, we obtain sufficient conditions so that the neutral functional differential equation $$displaylines{ ig[r(t) [y(t)-p(t)y(au (t))]'ig]^{(n-1)} + q(t) G(y(h(t))) = f(t) }$$ has a bounded and positive solution.
Laxmi Narayan Padhy +3 more
doaj
We describe a method for the numerical evaluation of normalized versions of the associated Legendre functions $P_\nu^{-\mu}$ and $Q_\nu^{-\mu}$ of degrees $0 \leq \nu \leq 1,000,000$ and orders $-\nu \leq \mu \leq \nu$ on the interval $(-1,1)$.
Bremer, James
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We investigate the oscillatory behavior of solutions of second‐order linear differential equations with impulses. These equations can be categorized into two types: canonical and non‐canonical. This study examines the canonical and non‐canonical impulsive differential equations in connection with the famous Leighton‐type oscillation theorem.
A. Zafer, S. Doğru Akgöl
wiley +1 more source
Asymptotically polynomial solutions of difference equations of neutral type
Asymptotic properties of solutions of difference equation of the form \[ \Delta^m(x_n+u_nx_{n+k})=a_nf(n,x_{\sigma(n)})+b_n \] are studied. We give sufficient conditions under which all solutions, or all solutions with polynomial growth, or all ...
Migda, Janusz
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