Results 41 to 50 of about 14,965,840 (158)

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

A Re‐Examination of Foundational Elements of Cosmology

Fortschritte der Physik, Volume 74, Issue 3, March 2026.
ABSTRACT This paper undertakes a conceptual re‐examination of several foundational elements of cosmology through the lens of spacetime symmetries. A new derivation of the Friedmann–Lemaître–Robertson–Walker metric is obtained by a careful conceptual examination of rotations and translations on generic manifolds, followed by solving the rotational and ...
Lavinia Heisenberg
wiley   +1 more source

Riemann-Hilbert problem for the small dispersion limit of the KdV equation and linear overdetermined systems of Euler-Poisson-Darboux type

, 2001
We study the Cauchy problem for the Korteweg de Vries (KdV) equation with small dispersion and with monotonically increasing initial data using the Riemann-Hilbert (RH) approach.
?abat, Beals, Bender, Cohen, Deift, Deift, Deift, Dubrovin, Dubrovin, El, El, Fay, Flaschka, Grava, Grava, Gurevich, Gurevich, Kappeler, Krichever, Kudashev, Kuijlaars, Lax, Levermore, Muskhelishvili, Springer, Tian, Tian, Tsarëv, Venakides, Venakides, Whitham, Zverovich   +31 more
core   +1 more source

Hyperderivatives of the deformation series associated with arithmetic gamma values and characteristic p$p$ multiple zeta values

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Number theory for positive characteristic contains analogues of the special values that were introduced by Carlitz; these include the Carlitz gamma values and Carlitz zeta values. These values were further developed to the arithmetic gamma values and multiple zeta values by Goss and Thakur, respectively.
Ryotaro Harada, Daichi Matsuzuki
wiley   +1 more source

Geroch group description of bubbling geometries

Journal of High Energy Physics, 2018
The Riemann-Hilbert approach to studying solutions of supergravity theories allows us to associate spacetime independent monodromy matrices (matrices in the Geroch group) with solutions that effectively only depend on two spacetime coordinates.
Pratik Roy, Amitabh Virmani
doaj   +1 more source

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

Journal 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, Carla Mariana da Silva Pinheiro   +1 more
wiley   +1 more source

Solution of the modified Helmholtz equation using mixed boundary conditions in an equilateral triangle

Partial Differential Equations in Applied Mathematics
The modified Helmholtz equation qxx+qyy−4β2q=0, is one of the basic equations of classical mathematical physics. In this paper we have obtained the solution of the boundary-value problems for the modified Helmholtz equation in an equilateral triangle. An
Pratul Gadagkar, Subhash Kendre, Pooja Paratane   +2 more
doaj   +1 more source

The Prolongation Structure of the Modified Nonlinear Schrödinger Equation and Its Initial-Boundary Value Problem on the Half Line via the Riemann-Hilbert Approach

Mathematics, 2019
In this paper, the Lax pair of the modified nonlinear Schrödinger equation (mNLS) is derived by means of the prolongation structure theory. Based on the obtained Lax pair, the mNLS equation on the half line is analyzed with the assistance of Fokas ...
Tongshuai Liu, Huanhe Dong
doaj   +1 more source

Numerical solution of scattering problems using a Riemann--Hilbert formulation [PDF]

, 2019
A fast and accurate numerical method for the solution of scalar and matrix Wiener--Hopf problems is presented. The Wiener--Hopf problems are formulated as Riemann--Hilbert problems on the real line, and a numerical approach developed for these problems ...
Luca, Elena, Smith, Stefan G. Llewellyn
core   +2 more sources

Solitonic asymptotics for the Korteweg-de Vries equation in the small dispersion limit

, 2009
We study the small dispersion limit for the Korteweg-de Vries (KdV) equation $u_t+6uu_x+\epsilon^{2}u_{xxx}=0$ in a critical scaling regime where $x$ approaches the trailing edge of the region where the KdV solution shows oscillatory behavior.
Claeys T., Deift P., Fujiié S., Gurevich A.G., Mo M.Y., Tamara Grava, Tom Claeys, Tsarev S.P.   +7 more
core   +1 more source