Results 31 to 40 of about 45,671 (275)
Vortex Solutions for Thermohaline circulation Equations [PDF]
Journal of Mahani Mathematical Research, 2023 The main objective of this article is to establish a new model and find some vortex axisymmetric solutions of finite core size for this model. We introduce the hydrodynamical equations governing the atmospheric circulation over the tropics, the ...
Mahdi Kamandar
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Nodal sets of Laplace eigenfunctions: polynomial upper estimates of the Hausdorff measure [PDF]
, 2016 Let $\mathbb{M}$ be a compact $C^\infty$-smooth Riemannian manifold of dimension $n$, $n\geq 3$, and let $\varphi_\lambda: \Delta_M \varphi_\lambda + \lambda \varphi_\lambda = 0$ denote the Laplace eigenfunction on $\mathbb{M}$ corresponding to the ...
A. Logunov
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Karpatsʹkì Matematičnì Publìkacìï, 2018 In this article, we investigate a problem with nonlocal boundary conditions which are perturbations of antiperiodical conditions in bounded $m$-dimensional parallelepiped using Fourier method. We describe properties of a transformation operator $R:L_2(G)
Ya.O. Baranetskij +3 more
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Vortex knots in tangled quantum eigenfunctions [PDF]
Nature Communications, 2016 Tangles of string typically become knotted, from macroscopic twine down to long-chain macromolecules such as DNA. Here, we demonstrate that knotting also occurs in quantum wavefunctions, where the tangled filaments are vortices (nodal lines/phase ...
A. Taylor, Mark R. Dennis
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Mathematics, 2020 The history of boundary value problems for differential equations starts with the well-known studies of D. Bernoulli, J. D’Alambert, C. Sturm, J. Liouville, L. Euler, G. Birkhoff and V. Steklov.
Oktay Sh. Mukhtarov, Merve Yücel
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Universal hierarchical structure of quasiperiodic eigenfunctions [PDF]
, 2016 We determine exact exponential asymptotics of eigenfunctions and of corresponding transfer matrices of the almost Mathieu operators for all frequencies in the localization regime.
S. Jitomirskaya, Wencai Liu
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Pointwise Bounds for Steklov Eigenfunctions [PDF]
Journal of Geometric Analysis, 2016 Let (Ω,g)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(\Omega ,g ...
J. Galkowski, J. Toth
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Recovery of an initial temperature of a one-dimensional body from finite time-observations
Mathematics in Applied Sciences and Engineering, 2023 Under the Dirichlet boundary setting, Aryal and Karki (2022) studied an inverse problem of recovering an initial temperature profile from known temperature measurements at a fixed location of a one-dimensional body and at linearly growing finitely many ...
Ramesh Karki, Chava Shawn, Young You
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Exact eigenfunctions and the open topological string [PDF]
, 2016 Mirror curves to toric Calabi–Yau threefolds can be quantized and lead to trace class operators on the real line. The eigenvalues of these operators are encoded in the BPS invariants of the underlying threefold, but much less is known about their ...
M. Mariño, Szabolcs Zakany
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Global Stability Analysis Using the Eigenfunctions of the Koopman Operator [PDF]
IEEE Transactions on Automatic Control, 2014 We propose a novel operator-theoretic framework to study global stability of nonlinear systems. Based on the spectral properties of the so-called Koopman operator, our approach can be regarded as a natural extension of classic linear stability analysis ...
A. Mauroy, I. Mezić
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