Results 81 to 90 of about 180,050 (282)

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone, Louise Gassot, Patrick Gérard, Peter D. Miller   +3 more
wiley   +1 more source

Ambarzumian's theorem for trees

Electronic Journal of Differential Equations, 2007
The classical Ambarzumian's Theorem for Schrodinger operators $-D^2 + q$ on an interval, with Neumann conditions at the endpoints, says that if the spectrum of $(-D^2+q)$ is the same as the spectrum of $(-D^2)$ then $q=0$.
Vyacheslav Pivovarchik, Robert Carlson
doaj  

Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati, Augusto Del Zotto, Klaus Widmayer   +2 more
wiley   +1 more source

A note on a relationship between the inverse eigenvalue problems for nonnegative and doubly stochastic matrices and some applications

, 2013
In this note, we establish some connection between the nonnegative inverse eigenvalue problem and that of doubly stochastic one. More precisely, we prove that if $(r; {\lambda}_2, ..., {\lambda}_n)$ is the spectrum of an $n\times n$ nonnegative matrix A ...
Mourad, Bassam
core  

Stability Bounds for the Generalized Kadanoff‐Baym Ansatz in the Holstein Dimer

Contributions to Plasma Physics, EarlyView.
ABSTRACT Predicting real‐time dynamics in correlated systems is demanding: exact two‐time Green's function methods are accurate but often too costly, while the Generalized Kadanoff‐Baym Ansatz (GKBA) offers time‐linear propagation at the risk of uncontrolled behavior. We examine when and why GKBA fails in a minimal yet informative setting, the Holstein
Oscar Moreno Segura, Yaroslav Pavlyukh, Riku Tuovinen   +2 more
wiley   +1 more source

On Certain Translation Invariant Properties of Interior Transmission Spectra and Their Doppler’s Effect

Advances in Mathematical Physics, 2017
We study the translation invariant properties of the eigenvalues of scattering transmission problem. We examine the functional derivative of the eigenvalue density function Δ(x^) to the defining index of refraction n(x).
Lung-Hui Chen
doaj   +1 more source

General Framework for Multi‐Degree‐of‐Freedom Stiffness Matrix Updating for Iterative Solution Algorithms in Hybrid Simulation

Earthquake Engineering &Structural Dynamics, EarlyView.
ABSTRACT Iterative solvers are advantageous for handling nonlinear structural analysis problems. The iterative solvers often require updating the stiffness matrix, which limits their application in static and pseudo‐dynamic hybrid simulations because: (1) updating the stiffness matrix of a system involving a physical specimen is challenging; (2 ...
Junyan Xiao, Oh‐Sung Kwon, Evan Bentz
wiley   +1 more source

Solutions of a Quadratic Inverse Eigenvalue Problem for Damped Gyroscopic Second-Order Systems

Journal of Applied Mathematics, 2014
Given k pairs of complex numbers and vectors (closed under conjugation), we consider the inverse quadratic eigenvalue problem of constructing n×n real matrices M, D, G, and K, where M>0, K and D are symmetric, and G is skew-symmetric, so that the ...
Hong-Xiu Zhong, Guo-Liang Chen, Xiang-Yun Zhang   +2 more
doaj   +1 more source

The Impact of Renewable and Non‐Renewable Energy on Economic Growth: Evidence From Sub‐Saharan African Countries Using Multivariate Panel Vector Autoregressive Modeling

Energy Science &Engineering, EarlyView.
This study analyzes energy consumption and economic growth across 39 Sub‐Saharan African countries using a PVAR model. Findings reveal that non‐renewable energy and labor force growth stimulate economic growth, while renewable energy does not stimulate economic growth in the short run.
Amadou Cham, Nana Kena Frempong, Richard Opoku, Francis Davis, Simon Kojo Appiah   +4 more
wiley   +1 more source

Construction of 4 x 4 symmetric stochastic matrices with given spectra

Open Mathematics
The symmetric stochastic inverse eigenvalue problem (SSIEP) asks which lists of real numbers occur as the spectra of symmetric stochastic matrices. When the cardinality of a list is 4, Kaddoura and Mourad provided a sufficient condition for SSIEP by a ...
Jung Jaewon, Kim Donggyun
doaj   +1 more source