Results 11 to 20 of about 6,786 (289)
Semidiscretization and Long-time Asymptotics of Nonlinear Diffusion Equations [PDF]
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
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Long-time asymptotics for the Toda lattice in the soliton region [PDF]
18 ...
Teschl, Gerald, Krüger, Helge
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Long-time asymptotics for the damped Boussinesq equation in a disk
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
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Long-term filtration of particles in a porous medium [PDF]
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
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Refined long-time asymptotics for Fisher–KPP fronts [PDF]
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
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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
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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
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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
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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
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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
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