Results 41 to 50 of about 430 (144)

Asymptotics for the Spectrum of a Thin Film Equation in a Singular Limit

open access: yes, 2012
In this paper the linear stability properties of the steady states of a no-slip lubrication equation are studied. In the physical context, these steady states correspond to configurations of droplets that arise during the late-phase dewetting process ...
Kitavtsev, Georgy   +2 more
core   +1 more source

The role of the curvature of a surface in the shape of the solutions to elliptic equations

open access: yesProceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.
Abstract We prove the uniqueness and nondegeneracy of the critical point of positive, semistable solutions of −Δu=f(u)$-\Delta u=f(u)$ with Dirichlet boundary conditions for a class of star‐shaped domains on the sphere and in the hyperbolic plane satisfying a geometric condition.
Francesca Gladiali   +2 more
wiley   +1 more source

Renormalisation of random hierarchial systems [PDF]

open access: yes, 2003
This thesis considers a number of problems which are related to the study of random fractals. We define a class of iterations (which we call random hierarchical systems) of probability distributions, which are defined by applying a random map to a set of
Jordan, Jonathan., Jordan, Jonathan
core   +1 more source

Asymptotics of the whispering gallery-type in the eigenproblem for the Laplacian in a revolutional domain diffeomorphic to a solid torus [PDF]

open access: yes, 2023
We consider the eigenproblem for the Laplacian inside a three-dimensional revolutional domain diffeomorphic to a solid torus and construct asymptotic eigenvalues and eigenfunctions (quasimodes) of the whispering gallery-type.
Minenkov, Dmitri, Sergeev, Sergey
core   +1 more source

Weighted Deformed Gram Matrices for Quantum‐Inspired Learning With Applications to Biomedical Signal Analysis

open access: yesEngineering Reports, Volume 8, Issue 6, June 2026.
Graphical abstract of the (q,τ)$$ \left(q,\tau \right) $$‐deformed kernel framework for quantum‐inspired learning and biomedical signal analysis ABSTRACT This paper introduces a weighted (q,τ)$$ \left(q,\tau \right) $$‐deformed Gram matrix framework for quantum‐inspired learning systems, with particular emphasis on applications in biomedical signal ...
Rabha W. Ibrahim   +2 more
wiley   +1 more source

Asymptotics for the spectrum of a thin film equation in a singular limit [PDF]

open access: yes, 2010
In this paper the linear stability properties of the steady states of a no-slip lubrication equation are studied. The steady states are configurations of droplets and arise during the late-phase dewetting process under the influence of both destabilizing
Kitavtsev, Georgy   +2 more
core   +1 more source

Spreading Speed for a Vector‐Borne Disease System on Non‐Coincident Straight Infinite Cylinders

open access: yesStudies in Applied Mathematics, Volume 156, Issue 6, June 2026.
ABSTRACT Vector‐borne diseases remain an increasing global public health concern. In this work, we investigate the spreading speed of vector‐borne disease via a four‐component reaction–diffusion system posed on non‐coincident straight infinite cylinders, which stands for an unconventional spatial configuration.
Arnaud Ducrot   +2 more
wiley   +1 more source

Sturm-Liouville problems with retarded argument and a finite number of transmission conditions

open access: yesElectronic Journal of Differential Equations, 2017
The main goal of the present paper is to study the asymptotic behaviour of eigenvalues and eigenfunctions of a discontinuous boundary-value problem with retarded argument with a finite number of transmission conditions.
Erdogan Sen
doaj  

Sharp estimates for the Laplacian torsional rigidity with negative Robin boundary conditions

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract Motivated by pioneering works of Bandle and Wagner, given a bounded Lipschitz domain Ω⊂Rd$\Omega \subset \mathbb {R}^d$ with d⩾3$d\geqslant 3$, we consider the Robin–Laplacian torsional rigidity τα(Ω)$\tau _\alpha (\Omega)$ with negative boundary parameter α$\alpha$ and we show that sharp inequalities for τα(Ω)$\tau _\alpha (\Omega)$ hold if ...
Nunzia Gavitone   +2 more
wiley   +1 more source

Eigenvalues of an elliptic system

open access: yes, 2003
We describe the spectrum of a non-self-adjoint elliptic system on a finite interval. Under certain conditions we find that the eigenvalues form a discrete set and converge asymptotically at infinity to one of several straight lines.
Davies, E B
core   +1 more source

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