Results 31 to 40 of about 7,097,033 (76)
Multiple front and pulse solutions in spatially periodic systems
Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
wiley +1 more source
Ghost effect from Boltzmann theory
Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito +3 more
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On Semi-Fredholm Operators [PDF]
VIe prove that every semi-Fredholm operator on a.n arbitrary Banach space can be approxima.ted by injective or surjective operators. In the case of a complex separable Hilbert space, we show that the set of semi-Fredholm operators having a fixed index is
FERNANDO GALAZ FONTES
core
Abstract We study the multiplicative statistics associated to the limiting determinantal point process describing eigenvalues of unitary random matrices with a critical edge point, where the limiting eigenvalue density vanishes like a power 5/2. We prove that these statistics are governed by the first three equations of the Korteweg‐de‐Vries (KdV ...
Mattia Cafasso +1 more
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Maxwell Fronts in the Discrete Nonlinear Schrödinger Equations With Competing Nonlinearities
ABSTRACT In discrete nonlinear systems, the study of nonlinear waves has revealed intriguing phenomena in various fields such as nonlinear optics, biophysics, and condensed matter physics. Discrete nonlinear Schrödinger (DNLS) equations are often employed to model these dynamics, particularly in the context of Bose–Einstein condensates and optical ...
Farrell Theodore Adriano, Hadi Susanto
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Large‐Amplitude Periodic Solutions to the Steady Euler Equations With Piecewise Constant Vorticity
ABSTRACT We consider steady solutions to the incompressible Euler equations in a two‐dimensional channel with rigid walls. The flow consists of two periodic layers of constant vorticity separated by an unknown interface. Using global bifurcation theory, we rigorously construct curves of solutions that terminate either with stagnation on the interface ...
Alex Doak +3 more
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Some Remarks on Perturbation Classes of Semi-Fredholm and Fredholm Operators [PDF]
We show the existence of Banach spaces X, Y such that the set of strictly singular operators (X,Y) (resp., the set of strictly cosingular operators (X,Y)) would be strictly included in ℱ+(X,Y) (resp., ℱ−(X,Y)) for the nonempty class of closed densely ...
Abdelkader Dehici, Khaled Saoudi
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Regularization by Global DGMRES Method for Ill‐Posed Matrix Equation AXB = G
In this article, we deal with the solution of the linear, large‐size, and ill‐posed matrix equation AXB = G, whose matrix G is contaminated with noise. We apply Tikhonov regularization in combination with the Gl‐DGMRES method to mitigate the effect of noise.
Vahid Hosseinabadi +2 more
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Approximation by semi-Fredholm operators
We present a simple approach for calculating some known distances from a bounded operator defined on a separable Hilbert space to certain sets related to semi-Fredholm operators.
Fernando Galaz-Fontes
core +1 more source
A numerical collocation approach employing independence polynomials of paths is formulated to approximate the solutions of high‐order linear Fredholm–Volterra integro‐differential problems under mixed conditions. The proposed approach transforms the given equation and conditions into a matrix form, leading to a linear system whose unknowns are the ...
Fatma Kaci, Kang-Jia Wang
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