Results 31 to 40 of about 7,097,033 (76)

Multiple front and pulse solutions in spatially periodic systems

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
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

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 558-675, March 2026.
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
wiley   +1 more source

On Semi-Fredholm Operators [PDF]

open access: yes, 1992
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  

Unitary ensembles with a critical edge point, their multiplicative statistics, and the Korteweg‐de‐Vries hierarchy

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
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
wiley   +1 more source

Maxwell Fronts in the Discrete Nonlinear Schrödinger Equations With Competing Nonlinearities

open access: yesStudies in Applied Mathematics, Volume 156, Issue 2, February 2026.
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
wiley   +1 more source

Large‐Amplitude Periodic Solutions to the Steady Euler Equations With Piecewise Constant Vorticity

open access: yesStudies in Applied Mathematics, Volume 156, Issue 1, January 2026.
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
wiley   +1 more source

Some Remarks on Perturbation Classes of Semi-Fredholm and Fredholm Operators [PDF]

open access: yes, 2007
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
core   +1 more source

Regularization by Global DGMRES Method for Ill‐Posed Matrix Equation AXB = G

open access: yesAdvances in Mathematical Physics, Volume 2026, Issue 1, 2026.
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
wiley   +1 more source

Approximation by semi-Fredholm operators

open access: yes, 1994
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

Independence Polynomial‐Based Approach for Fredholm–Volterra Integro‐Differential Problems of High Order

open access: yesAdvances in Mathematical Physics, Volume 2026, Issue 1, 2026.
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
wiley   +1 more source

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