Results 131 to 140 of about 72,141 (252)

A Hilbert boundary value problem for generalised Cauchy-Riemann equations

, 2016
We elaborate a boundary Fourier method for studying an analogue of the Hilbert problem for analytic functions within the framework of generalised Cauchy-Riemann equations.
Tarkhanov, Nikolai Nikolaevich, Alsaedy, Ammar   +1 more
core  

Riemann--Hilbert problem approach for two-dimensional flow inverse scattering

, 2014
International audienceWe consider inverse scattering for the time-harmonic wave equation with first-order perturbation in two dimensions. This problem arises in particular in the acoustic tomography of moving fluid.
Agaltsov, Alexey, Novikov, Roman
core   +1 more source

Initial Boundary Value Problem for the Coupled Kundu Equations on the Half-Line

Axioms
In this article, the coupled Kundu equations are analyzed using the Fokas unified method on the half-line. We resolve a Riemann–Hilbert (RH) problem in order to illustrate the representation of the potential function in the coupled Kundu equations.
Jiawei Hu, Ning Zhang
doaj   +1 more source

A Riemann-Hilbert problem for the Moisil-Teodorescu system

, 2017
In a bounded domain with smooth boundary in R^3 we consider the stationary Maxwell equations for a function u with values in R^3 subject to a nonhomogeneous condition (u,v)_x = u_0 on the boundary, where v is a given vector field and u_0 a function ...
Tarkhanov, Nikolai Nikolaevich, Polkovnikov, Alexander   +1 more
core  

A Riemann–Hilbert problem for skew-orthogonal polynomials

Journal of Computational and Applied Mathematics, 2008
We find a local $(d+1) \times (d+1)$ Riemann-Hilbert problem characterizing the skew-orthogonal polynomials associated to the partition function of the Gaussian Orthogonal Ensemble of random matrices with a potential function of degree $d$. Our Riemann-Hilbert problem is similar to a local $d \times d$ Riemann-Hilbert problem found by Kuijlaars and ...
openaire   +3 more sources

Some addition to the generalized Riemann-Hilbert problem

, 2009
. -We consider the generalized Riemann-Hilbert problem for linear differential equations with irregular singularities. If one weakens the conditions by allowing one of the Poincaré ranks to be non-minimal, the problem is known to have a solution. In this
) R R Gontsov, I V Vyugin
core  

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

Matrix Jacobi Biorthogonal Polynomials via Riemann-Hilbert problem

, 2022
We consider matrix orthogonal polynomials related to Jacobi type matrices of weights that can be defined in terms of a given matrix Pearson equation. Stating a Riemann-Hilbert problem we can derive first and second order differential relations that these
Mañas, Manuel, Foulquié-Moreno, Ana, Fradi, Assil, Branquinho, Amílcar   +3 more
core  

Children\u27s Drawings and the Riemann-Hilbert Problem

Dessin d\u27enfants (French for children\u27s drawings) serve as a unique standpoint of studying classical complex analysis under the lens of combinatorial constructs.
Chowdhury, Drimik Roy
core  

Riemann-Hilbert problems with singularities

, 2016
The study of analytic discs attached to a totally real submanifold M of $\mathbb C^n$ leads to the consideration of a regular Riemann-Hilbert problem of a special form.
Bertrand, Florian
core