Results 1 to 10 of about 47 (34)

Higher Order Airy and Painlevé Asymptotics for the mKdV Hierarchy [PDF]

SIAM Journal on Mathematical Analysis, 2021
In this paper, we consider Cauchy problem for the modified Korteweg-de Vries hierarchy on the real line with decaying initial data. Using the Riemann–Hilbert formulation and nonlinear steepest descent method, we derive a uniform asymptotic expansion to ...
Lin Huang, Lun Zhang
semanticscholar   +1 more source

On the Riemann-Hilbert problem in multiply connected domains

Open Mathematics, 2016
We proved the existence of multivalent solutions with the infinite number of branches for the Riemann-Hilbert problem in the general settings of finitely connected domains bounded by mutually disjoint Jordan curves, measurable coefficients and measurable
Ryazanov Vladimir
doaj   +1 more source

The use of mobile phone surveys for rapid mortality monitoring: A national study in Burkina Faso [PDF]

Demographic Research
BACKGROUND: In low- and middle-income countries, death registration remains low, and mortality estimation is heavily based on surveys and censuses conducted through face-to-face interviews.
Kassoum Dianou, Abdramane B. Soura, Bruno Lankoandé, Hervé Bassinga, Shammi Luhar, Ashira Menashe-Oren, Kelly McCain, Malebogo Tlhajoane, Georges Reniers, Bruno Masquelier   +9 more
doaj   +1 more source

Infinite dimension of solutions of the Dirichlet problem

Open Mathematics, 2015
It is proved that the space of solutions of the Dirichlet problem for the harmonic functions in the unit disk with nontangential boundary limits 0 a.e. has the infinite dimension.
Ryazanov Vladimir
doaj   +1 more source

Boussinesq’s equation for water waves: the soliton resolution conjecture for Sector IV

Advanced Nonlinear Studies
We consider the Boussinesq equation on the line for a broad class of Schwartz initial data relevant for water waves. In a recent work, we identified ten main sectors describing the asymptotic behavior of the solution, and for each of these sectors we ...
Charlier Christophe, Lenells Jonatan
doaj   +1 more source

Long-time asymptotic behavior for the Hermitian symmetric space derivative nonlinear Schrödinger equation

Advanced Nonlinear Studies
Resorting to the spectral analysis of the 4 × 4 matrix spectral problem, we construct a 4 × 4 matrix Riemann–Hilbert problem to solve the initial value problem for the Hermitian symmetric space derivative nonlinear Schrödinger equation.
Chen Mingming, Geng Xianguo, Liu Huan
doaj   +1 more source

On the long-time asymptotics of the modified Camassa–Holm equation with step-like initial data

European Journal of Applied Mathematics
We study the long-time asymptotics for the solution of the modified Camassa–Holm (mCH) equation with step-like initial data. \begin{align*} &m_{t}+\left (m\left (u^{2}-u_{x}^{2}\right )\right )_{x}=0, \quad m=u-u_{xx}, \\[3pt] & {u(x,0)=u_0(x)\to ...
Engui Fan, Gaozhan Li, Yiling Yang
doaj   +1 more source

Boussinesq's equation for water waves: Asymptotics in Sector I

Advances in Nonlinear Analysis
In a recent study, we showed that the large (x,t)\left(x,t) behavior of a class of physically relevant solutions of Boussinesq’s equation for water waves is described by ten main asymptotic sectors.
Charlier Christophe, Lenells Jonatan
doaj   +1 more source

Pöschl-Teller potentials based solution to Hilbert's tenth problem

Ingeniería y Ciencia, 2006
Los hipercomputadores computan funciones o números, o en general solucionan problemas que no pueden ser computados o solucionados por una máquina de Turing. Se presenta una adaptación del algoritmo cuántico hipercomputacional propuesto por Tien D.
Andrés Sicard, Juan Ospina
doaj  

A scalar Riemann-Hilbert problem on the torus: applications to the KdV equation. [PDF]

Anal Math Phys, 2022
Piorkowski M, Teschl G.
europepmc   +1 more source