Results 21 to 30 of about 430 (144)
Asymptotics of Robin eigenvalues on sharp infinite cones [PDF]
Let $\omega\subset\mathbb{R}^n$ be a bounded domain with Lipschitz boundary. For $\varepsilon>0$ and $n\in\mathbb{N}$ consider the infinite cone $\Omega_{\varepsilon}:=\big\{(x_1,x')\in (0,\infty)\times\mathbb{R}^n: x'\in\varepsilon x_1\omega\big ...
Pankrashkin, Konstantin, Vogel, Marco
core +1 more source
On the eigenvalues of the Robin Laplacian with a complex parameter [PDF]
We study the spectrum of the Robin Laplacian with a complex Robin parameter α on a bounded Lipschitz domain Ω. We start by establishing a number of properties of the corresponding operator, such as generation properties, analytic dependence of the ...
Kennedy, James B. +2 more
core +1 more source
Mixed-mode loading of the structural elements with defect
In the article the problem of determining the stress-strain state near the mixed-mode crack tip in a power-law material under plane stress conditions is considered. The eigenfunction method is used for the mixed-mode crack tip problem.
Larisa V Stepanova +1 more
doaj +1 more source
Spectral asymptotics of the Dirichlet Laplacian in a conical layer [PDF]
International audienceThe spectrum of the Dirichlet Laplacian on conical layers is analysed through two aspects: the infiniteness of the discrete eigenvalues and their expansions in the small aperture limit.
Nicolas Raymond +8 more
core +1 more source
Asymptotics Of Eigenvalues And Eigenfunctions Of A Discontinuous Boundary Value Problem [PDF]
The boundary problem is considered which occurs in the theory of small transversal vibrations of a smooth inhomogeneous string. The ends of the string assumed to be fixed and the midpoint of the string is damped by a pointwise force.
Huseynli, Ali A., Gasymov, Telman B.
core +1 more source
Dirichlet problem for the mixed type equation with two degeneration lines in a half-strip
In this article, the first boundary problem for the mixed type equation with two degeneration lines at a half-strip in the class of the regular and limited in infinity decisions is discussed.
Viner Zufarovich Vagapov
doaj +1 more source
A perturbative Graetz model describes coupled heat and mass transfer in reactive Couette–Poiseuille flow between parallel plates. Viscous dissipation and heat of reaction produce a small temperature rise, which enhances Arrhenius reaction rates and modestly accelerates axial species conversion in the small‐Brinkman‐number regime.
Leonardo Damián Soria Rodríguez +1 more
wiley +1 more source
An energy‐conserving discrete framework for the vertical discretisation of stratified ocean models is developed using internal gravity‐wave theory. A β$$ \beta $$‐indexed family of schemes is analysed through perturbation theory, revealing optimal parameter choices and grid designs that reduce truncation errors significantly.
Gabriel Derrida +3 more
wiley +1 more source
Statistical Quantum Mpemba Effect From Griffiths Rare Regions
The statistical quantum Mpemba effect emerges robustly in disordered open quantum systems. Griffiths rare regions generate a hierarchy of relaxation times that simple extended Bloch states naturally probe, without requiring fine‐tuned initial states or detailed knowledge of the Liouvillian spectrum.
Stefano Longhi
wiley +1 more source
Equidistribution in 2‐nilpotent Polish groups and triple restricted sumsets
Abstract The aim of this paper is to establish a Ratner‐type equidistribution theorem for orbits on homogeneous spaces associated with 2$\hskip.001pt 2$‐nilpotent locally compact Polish groups under the action of a countable discrete abelian group.
Ethan Ackelsberg, Asgar Jamneshan
wiley +1 more source

