Long-time asymptotics of passive scalar transport in periodically modulated channels [PDF]
This work investigates the long-time asymptotic behaviour of a diffusing passive scalar advected by fluid flow in a straight channel with a periodically varying cross-section.
Lingyun Ding
semanticscholar +1 more source
Droplet motion with contact-line friction: long-time asymptotics in complete wetting [PDF]
We consider the thin-film equation for a class of free boundary conditions modelling friction at the contact line, as introduced by E and Ren. Our analysis focuses on formal long-time asymptotics of solutions in the perfect wetting regime. In particular,
Peschka, Dirk +5 more
core +1 more source
Virtual neutrino propagation at short baselines
Within a covariant perturbative field-theoretical approach, the wave-packet modified neutrino propagator is expressed as an asymptotic expansion in powers of dimensionless Lorentz- and rotation-invariant variables. The expansion is valid at high energies
Vadim A. Naumov, Dmitry S. Shkirmanov
doaj +1 more source
Long-time asymptotics of the focusing Kundu–Eckhaus equation with nonzero boundary conditions
The long-time asymptotics of the focusing Kundu–Eckhaus equation with nonzero boundary conditions at infinity is investigated by the nonlinear steepest descent method of Deift and Zhou.
Deng‐Shan Wang, B. Guo, Xiaoli Wang
semanticscholar +1 more source
Implied Volatility Structure in Turbulent and Long-Memory Markets
We consider fractional stochastic volatility models that extend the classic Black–Scholes model for asset prices. The models are general and motivated by recent empirical results regarding the behavior of realized volatility. While such models retain the
Josselin Garnier, Knut Sølna
doaj +1 more source
Strong anomalous diffusion is characterized by asymptotic power-law growth of the moments of displacement, with exponents that do not depend linearly on the order of the moment. The exponents concerning small-order moments are dominated by random motion,
Jürgen Vollmer +4 more
doaj +1 more source
Trimming and tapering semi-parametric estimates in asymmetric long memory time series [PDF]
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
Long-Time Asymptotics for the Focusing Nonlinear Schrödinger Equation with Nonzero Boundary Conditions in the Presence of a Discrete Spectrum [PDF]
The long-time asymptotic behavior of solutions to the focusing nonlinear Schrödinger (NLS) equation on the line with symmetric, nonzero boundary conditions at infinity is studied in the case of initial conditions that allow for the presence of discrete ...
G. Biondini, Sitai Li, D. Mantzavinos
semanticscholar +1 more source
The fifty-year quest for universality in percolation theory in high dimensions
Although well described by mean-field theory in the thermodynamic limit, scaling has long been puzzling for finite systems in high dimensions. This raised questions about the efficacy of the renormalization group and foundational concepts such as ...
T. Ellis, R. Kenna, B. Berche
doaj +1 more source
Long-time asymptotics of a three-component coupled nonlinear Schrödinger system
Starting from a specific example of 4 × 4 matrix spectral problems, an integrable coupled hierarchy, which includes a three-component coupled nonlinear Schrodinger system as the first nonlinear one, is generated, and an associated oscillatory Riemann ...
Wenxiu Ma
semanticscholar +1 more source

