Results 31 to 40 of about 486 (190)
Mathematical Modelling and Analysis, 2017 We consider the eigenvalue problem with Robin boundary condition ∆u + λu = 0 in Ω, ∂u/∂ν + αu = 0 on ∂Ω, where Ω ⊂ Rn , n ≥ 2 is a bounded domain with a smooth boundary, ν is the outward unit normal, α is a real parameter. We obtain two terms of the asymptotic expansion of simple eigenvalues of this problem for α → +∞.
openaire +3 more sources
Nonconstant Positive Steady States for a Predator–Prey System With Signal‐Dependent Diffusion
Mathematische Nachrichten, EarlyView.ABSTRACT This paper investigates a highly nonlinear predator–prey reaction–diffusion system featuring signal‐dependent prey diffusion, where the motility of the prey is modulated by a chemical signal released by predators. For unbounded functional responses, we establish the global‐in‐time existence and uniform‐in‐time boundedness of classical ...
Qigang Deng +3 more
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Asymptotics of the whispering gallery-type in the eigenproblem for the Laplacian in a revolutional domain diffeomorphic to a solid torus [PDF]
, 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
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The present work is devoted to establishing existence results and examining the stability properties of solutions associated with a generalized Brusselator reaction–diffusion system in both the classical and fractional‐order settings. The corresponding ODE and PDE formulations are considered to establish the global existence of solutions in ...
Fadia Haouam +3 more
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NODAL LENGTH FLUCTUATIONS FOR ARITHMETIC RANDOM WAVES [PDF]
, 2012 Using the spectral multiplicities of the standard torus, we endow the Laplace eigenspaces with Gaussian probability measures. This induces a notion of random Gaussian Laplace eigenfunctions on the torus (''arithmetic random waves'').
Manjunath Krishnapur +7 more
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On the eigenvalues of the Robin Laplacian with a complex parameter [PDF]
, 2022 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. +5 more
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Quarterly Journal of the Royal Meteorological Society, EarlyView.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
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On multi-scale asymptotic structure of eigenfunctions in a boundary value problem with concentrated masses near the boundary [PDF]
, 2017 We construct two-term asymptotics ?? k = ?m?2(M + ??k + O(?3/2)) of eigenvalues of a mixed boundary-value problem in ? R2 with many heavy (m > 2) concentrated masses near a straight part of the boundary ? . ?
M. Eugenia Pérez +3 more
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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT We present a numerical study of a weakly symmetric dual‐mixed finite element method for the Stokes source problem, in which the Cauchy stress is the primary unknown and its symmetry is imposed weakly through a vorticity Lagrange multiplier. Viewing the scheme as the incompressible limit of the reduced‐symmetry mixed elasticity framework, we ...
Fleurianne Bertrand, Tugay Dağlı
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Reconnection Onset in Overstretched Thin Current Sheets: 3‐D Kinetic Picture
Journal of Geophysical Research: Space Physics, Volume 131, Issue 11, November 2026.Abstract Evolution of the magnetotail equilibrium, whose current density iso‐contours are stretched beyond the magnetic field lines due to small ion anisotropy and agyrotropic effects on the scales of the thermal ion gyroradius (the so‐called overstretched thin current sheet) is considered using 3‐D explicit particle‐in‐cell simulations.
M. I. Sitnov, H. Arnold
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