Results 51 to 60 of about 73,015 (248)
On the Degrees of Freedom and Eigenfunctions of Line-of-Sight Holographic MIMO Communications [PDF]
, 2023 Juan Carlos Ruiz-Sicilia +4 more
openalex +1 more source
Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
Communications on Pure and Applied Mathematics, EarlyView.Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley +1 more source
Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo +2 more
wiley +1 more source
Shape of extremal functions for weighted Sobolev-type inequalities
Advances in Nonlinear AnalysisWe study the shape of solutions to certain variational problems in Sobolev spaces with weights that are powers of ∣x∣| x| . In particular, we detect situations when the extremal functions lack symmetry properties such as radial symmetry and antisymmetry.
Brock Friedemann +3 more
doaj +1 more source
Interaction Between Vortex‐Induced Vibrations and Base Vibrations in Piezoelectric Harvesters
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT In the present era, powering sensors using green energy is a significant challenge. One promising solution for the power supply of small sensors relies on piezoelectric energy harvesters excited by vortex‐induced vibrations (VIVs) generated by wind.
Michele Tonan +3 more
wiley +1 more source
A boundary value problem for the wave equation
International Journal of Mathematics and Mathematical Sciences, 1999 Traditionally, boundary value problems have been studied for elliptic differential equations. The mathematical systems described in these cases turn out to be “well posed”. However, it is also important, both mathematically and physically, to investigate
Nezam Iraniparast
doaj +1 more source
Szegő kernel asymptotics and concentration of Husimi Distributions of eigenfunctions [PDF]
, 2022 Robert P. H. Chang, Abraham Rabinowitz
openalex +1 more source
Ecological Entomology, EarlyView.Species co‐occurrences rely on their ability to explore similar or distinct available resources, and possible niche overlap can prevent their presence and establishment in a given site Damselflies of the Calopterygidae family demonstrated negative co‐occurrences in streams inside and outside PAs, highlighting that their ecological similarity is ...
Joás Silva Brito +13 more
wiley +1 more source
Continuation of connecting orbits in 3D-ODEs: (I) Point-to-cycle connections
, 2007 We propose new methods for the numerical continuation of point-to-cycle connecting orbits in 3-dimensional autonomous ODE's using projection boundary conditions.
Afraimovich V. S. +5 more
core +4 more sources
Basis Properties of Fučík Eigenfunctions
Analysis Mathematica, 2022 We establish sufficient assumptions on sequences of Fucik eigenvalues of the one-dimensional Laplacian which guarantee that the corresponding Fucik eigenfunctions form a Riesz basis in $L^2(0,π)$.
Baustian, F., Bobkov, V.
openaire +3 more sources