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Asymptotics and Lower Bound for the Lifespan of Solutions to the Primitive Equations

Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications, 2014
In a previous work we obtained a large lower bound for the lifespan of the solutions to the Primitive Equations, and proved convergence to the 3D quasi-geostrophic system for general and ill-prepared blowing-up data, when the kinematic viscosityν ...
Frédéric Charve
semanticscholar   +1 more source

Convergence asymptotics of discrete-stochastic numerical methods for global estimation of a solution to an integral equation of the second kind

Siberian Mathematical Journal, 1994
Our topic is approximation to a solution \(\varphi (x)\) of the one-dimensional integral equation of the second kind \[ \varphi (x) = \int^b_a k(x',x) \varphi (x') dx' + \psi (x) \quad \text{or} \quad \varphi = K \varphi + \psi, \tag{1} \] where \(x \in [a,b] \subset \mathbb{R}\), the functions \(k\) and \(\psi\) are known, \(\psi \in L_\infty\), \(K ...
openaire   +1 more source

Asymptotic solution to the crack-opening displacement integral equations for the scattering of plane waves by cracks: I. The symmetric problem

The Journal of the Acoustical Society of America, 1990
The scattering of a symmetric pair of plane waves by a crack in an isotropic, homogeneous, linearly elastic solid is considered. For high frequency, an asymptotic solution to the integral equation for the normal crack-opening displacement (COD) is found. The elliptical and penny-shaped cracks are considered in some detail.
openaire   +1 more source

An overview of real‐world data sources for oncology and considerations for research

Ca-A Cancer Journal for Clinicians, 2022
Lynne Penberthy   +2 more
exaly  

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