Results 1 to 10 of about 1,316 (127)
THE ASYMPTOTICS OF A SOLUTION OF THE MULTIDIMENSIONAL HEAT EQUATION WITH UNBOUNDED INITIAL DATA
Ural Mathematical Journal, 2021 For the multidimensional heat equation, the long-time asymptotic approximation of the solution of the Cauchy problem is obtained in the case when the initial function grows at infinity and contains logarithms in its asymptotics.
Sergey V. Zakharov
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The asymptotics of stochastically perturbed reaction-diffusion equations and front propagation
Comptes Rendus. Mathématique, 2020 We study the asymptotics of Allen–Cahn-type bistable reaction-diffusion equations which are additively perturbed by a stochastic forcing (time white noise).
Lions, Pierre-Louis +1 more
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Long-term filtration of particles in a porous medium [PDF]
E3S Web of ConferencesThe 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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Long-Time Asymptotics of a Three-Component Coupled mKdV System
Mathematics, 2019 We present an application of the nonlinear steepest descent method to a three-component coupled mKdV system associated with a 4 × 4 matrix spectral problem. An integrable coupled mKdV hierarchy with three potentials is first generated. Based
Wen-Xiu Ma
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Implied Volatility Structure in Turbulent and Long-Memory Markets
Frontiers 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
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Virtual neutrino propagation at short baselines
European 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
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Physical 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
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The fifty-year quest for universality in percolation theory in high dimensions
Condensed 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
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Designing optimal networks for multicommodity transport problem
Physical Review Research, 2021 Designing and optimizing different flows in networks is a relevant problem in many contexts. While a number of methods have been proposed in the physics and optimal transport literature for the one-commodity case, we lack similar results for the ...
Alessandro Lonardi +3 more
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Abstract and Applied Analysis, 1997 For the damped Boussinesq equation utt−2butxx=−αuxxxx+uxx+β(u2)xx,x∈(0,π),t>0;α,b=const>0,β=const∈R1, the second initial-boundary value problem is considered with small initial data.
Vladimir V. Varlamov
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