Results 11 to 20 of about 19,082,194 (239)
Long-time asymptotics for the damped Boussinesq equation in a disk
Electronic Journal of Differential Equations, 2000 For the damped Boussinesq equation the first initial-boundary value problem is considered in a unit disk. Its strong solution is constructed in the form of a series in the small parameter present in the initial conditions.
Vladimir Varlamov
doaj +1 more source
Sign Tests for Long-memory Time Series [PDF]
, 2005 This paper proposes sign-based tests for simple and composite hypotheses on the long-memory parameter of a time series process. The tests allow for nonstationary hypothesis, such as unit root, as well as for stationary hypotheses, such as weak dependence
Delgado, Miguel A., Velasco, Carlos
core +1 more source
Trimming and tapering semi-parametric estimates in asymmetric long memory time series [PDF]
, 2005 This paper considers semi-parametric frequency domain inference for seasonal or cyclical time series with asymmetric long memory properties. It is shown that tapering the data reduces the bias caused by the asymmetry of the spectral density at the ...
Velasco Gómez, Carlos +2 more
core +1 more source
A coupling problem for entire functions and its application to the long-time asymptotics of integrable wave equations [PDF]
, 2016 We propose a novel technique for analysing the long-time asymptotics of integrable wave equations in the case when the underlying isospectral problem has a purely discrete spectrum.
Jonathan Eckhardt (5731769) +1 more
core +6 more sources
The "good'' Boussinesq equation: long-time asymptotics [PDF]
, 2020 We consider the initial-value problem for the ``good'' Boussinesq equation on the line. Using inverse scattering techniques, the solution can be expressed in terms of the solution of a $3 \times 3$-matrix Riemann-Hilbert problem.
Wang, D., Lenells, J., Charlier, C.
core +1 more source
Decoherence in Conformal Field Theory
Journal of High Energy Physics, 2020 Noise sources are ubiquitous in Nature and give rise to a description of quantum systems in terms of stochastic Hamiltonians. Decoherence dominates the noise-averaged dynamics and leads to dephasing and the decay of coherences in the eigenbasis of the ...
Adolfo del Campo, Tadashi Takayanagi
doaj +1 more source
Vortex formation for a non-local interaction model with Newtonian repulsion and superlinear mobility
Advances in Nonlinear Analysis, 2022 We consider density solutions for gradient flow equations of the form ut = ∇ · (γ(u)∇ N(u)), where N is the Newtonian repulsive potential in the whole space ℝd with the nonlinear convex mobility γ(u) = uα, and α > 1.
Carrillo J.A. +2 more
doaj +1 more source
Exponential asymptotics and gravity waves [PDF]
, 2006 The problem of irrotational inviscid incompressible free-surface flow is examined in the limit of small Froude number. Since this is a singular perturbation, singularities in the flow field (or its analytic continuation) such as stagnation points, or ...
Vanden-Broeck, J-.M. +8 more
core +1 more source
The pure Yang-Mills field, I: fixed time existence
Frontiers in Applied Mathematics and StatisticsThe convergence of renormalized perturbation theory to all finite orders is defined and shown to be valid for the fixed time perturbation theory of a pure Yang-Mills field.
James Glimm, James Glimm
doaj +1 more source
Genus two KdV soliton gases and their long-time asymptotics
Forum of Mathematics, SigmaThis 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 +2 more
doaj +1 more source