Results 71 to 80 of about 16,811 (181)

The Linearized Korteweg–de Vries Equation on the Line With Metric Graph Defects

Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT We study the small‐amplitude linearization of the Korteweg–de Vries equation on the line with a local defect scattering waves represented by a metric graph domain adjoined at one point. For a representative collection of examples, we derive explicit solution formulas expressed as contour integrals and obtain existence and unicity results for ...
D. A. Smith
wiley   +1 more source

Building multi-BTZ black holes through Riemann-Hilbert problem

Journal of High Energy Physics
We construct a recently found class of non-BPS black hole solutions with asymptotically AdS 3 × S 3 × T 4 in type IIB supergravity, consisting of multiple BTZ black holes localized on an S 3, within the group theoretical framework of Breitenlohner and ...
Jun-ichi Sakamoto, Shinya Tomizawa
doaj   +1 more source

A note on the Steinitz lemma

Mathematika, Volume 72, Issue 2, April 2026.
Abstract We establish the connection between the Steinitz problem for ordering vector families in arbitrary norms and its variant for not necessarily zero‐sum families consisting of “nearly unit” vectors.
Gergely Ambrus, Rainie Heck
wiley   +1 more source

ABC Conjecture and Riemann Hypothesis

, 2004
In this paper, we consider two great unproven problems in mathematics in the language of inequalities; ABC conjecture and Riemann hypothesis. It is shown that the Riemann hypothesis is true in some initial cases.
Hassani, Mehdi
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Riemann-Hilbert problem associated with Angelesco systems [PDF]

, 2007
Angelesco systems of measures with Jacobi type weights are considered. For such systems, strong asymptotic development expressions for sequences of associated Hermite-Pad´e approximants are found.
Branquinho, A., Fidalgo Prieto, U., Moreno, A. Foulquié   +2 more
core  

Graph potentials and topological quantum field theories

Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.
Abstract We introduce a new functional equation in birational geometry, whose solutions can be used to construct two‐dimensional topological quantum field theories (2d TQFTs), infinite‐dimensional in many interesting examples. The solutions of the equation give rise to a hierarchy of graph potentials, which, in the simplest setup, are Laurent ...
Pieter Belmans, Sergey Galkin, Swarnava Mukhopadhyay   +2 more
wiley   +1 more source

Genus two KdV soliton gases and their long-time asymptotics

Forum of Mathematics, Sigma
This paper employs the Riemann-Hilbert problem and nonlinear steepest descent method of Deift-Zhou to provide a comprehensive analysis of the asymptotic behavior of the genus two Korteweg-de Vries soliton gases.
Deng-Shan Wang, Dinghao Zhu, Xiaodong Zhu   +2 more
doaj   +1 more source

Computing Robin Problem on Unbounded Simply Connected Domain via an Integral Equation with the Generalized Neumann Kernel

Kurdistan Journal of Applied Research, 2017
A Robin problem is a mixed problem with a linear combination of Dirichlet and Neumann D-N conditions. The aim of this paper are presents a new boundary integral equation BIE method for the solution of unbounded Robin boundary value problem BVP in the ...
Shwan H. H. Al-Shatri, Karzan Wakil, Munira Ismail   +2 more
doaj   +1 more source

On the generalized Riemann–Hilbert problem with irregular singularities

, 2006
We study the generalized Riemann–Hilbert problem, which extends the classical Riemann–Hilbert problem to the case of irregular singularities. The problem is stated in terms of generalized monodromy data which include the monodromy representation, the ...
A.A. Bolibruch, Bolibruch, A.A., Malek, S., Mitschi, C., C. Mitschi, S. Malek   +5 more
core   +1 more source

El problema de Riemann-Hilbert [PDF]

, 2023
El llamado problema de Riemann-Hilbert, o problema 21 de Hilbert, pertenece a la teoría de ecuaciones diferenciales ordinarias sobre el campo complejo. Concretamente pregunta si existe un sistema de ecuaciones fuchsianas con singularidades y monodromía ...
García Mayo, Mario
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