Results 11 to 20 of about 6,786 (289)

Semidiscretization and Long-time Asymptotics of Nonlinear Diffusion Equations [PDF]

open access: yesCommunications in Mathematical Sciences, 2007
We review several results concerning the long time asymptotics of nonlinear diffusion models based on entropy and mass transport methods. Semidiscretization of these nonlinear diffusion models are proposed and their numerical properties analysed.
CARRILLO J. A   +2 more
openaire   +5 more sources

Long-time asymptotics for the damped Boussinesq equation in a disk

open access: yesElectronic 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

Long-term filtration of particles in a porous medium [PDF]

open access: yesE3S Web of Conferences
The formation of grout sediment in the pores of loose rock increases the water resistance of the soil and strengthens the foundation. A one-dimensional model of filtration in a porous medium considers the particles transport by the flow of a carrier ...
Kuzmina Liudmila, Osipov Yuri
doaj   +3 more sources

Refined long-time asymptotics for Fisher–KPP fronts [PDF]

open access: yesCommunications in Contemporary Mathematics, 2019
We study the one-dimensional Fisher–KPP equation, with an initial condition [Formula: see text] that coincides with the step function except on a compact set. A well-known result of Bramson in [Maximal displacement of branching Brownian motion, Comm. Pure Appl. Math.
Nolen, James   +2 more
openaire   +5 more sources

Virtual neutrino propagation at short baselines

open access: yesEuropean Physical Journal C: Particles and Fields, 2022
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

Implied Volatility Structure in Turbulent and Long-Memory Markets

open access: yesFrontiers in Applied Mathematics and Statistics, 2020
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

Displacement autocorrelation functions for strong anomalous diffusion: A scaling form, universal behavior, and corrections to scaling

open access: yesPhysical Review Research, 2021
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]

open access: yes, 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

The fifty-year quest for universality in percolation theory in high dimensions

open access: yesCondensed Matter Physics, 2023
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

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