Results 1 to 10 of about 61,379 (266)
Long-Time Asymptotics for the Camassa-Holm Equation [PDF]
SIAM Journal on Mathematical Analysis, 2009 We apply the method of nonlinear steepest descent to compute the long-time asymptotics of the Camassa-Holm equation for decaying initial data, completing previous results by A. Boutet de Monvel and D.
Aleksey Kostenko +5 more
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Long-time asymptotics for polymerization models [PDF]
Communications in Mathematical Physics, 2018 This study is devoted to the long-term behavior of nucleation, growth and fragmentation equations, modeling the spontaneous formation and kinetics of large polymers in a spatially homogeneous and closed environment.
Calvo, Juan +2 more
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Long time asymptotics for optimal investment [PDF]
, 2014 This survey reviews portfolio selection problem for long-term horizon. We consider two objectives: (i) maximize the probability for outperforming a target growth rate of wealth process (ii) minimize the probability of falling below a target growth rate ...
Pham, Huyen
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Nonlinear Aggregation-Diffusion Equations: Radial Symmetry and Long Time Asymptotics [PDF]
Inventiones mathematicae, 2019 We analyze under which conditions equilibration between two competing effects, repulsion modeled by nonlinear diffusion and attraction modeled by nonlocal interaction, occurs.
Carrillo, J. A. +3 more
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The “good” Boussinesq equation : long-time asymptotics
Analysis & PDE, 2023 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. We establish formulas for the long-time asymptotics of the solution by performing a Deift-Zhou steepest descent analysis of ...
Charlier, Christophe +2 more
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Refined long-time asymptotics for Fisher–KPP fronts [PDF]
Communications 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
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Long-Time Asymptotics for the Nonlocal MKdV Equation* [PDF]
Communications in Theoretical Physics, 2019 Abstract In this paper, we study the Cauchy problem with decaying initial data for the nonlocal modified Korteweg-de Vries equation (nonlocal mKdV) qt(x, t) + qxxx(x,t) −6q(x, t)q(−x, −t)qx (x, t) = 0, which can be viewed as a generalization of the local classical mKdV equation.
He, Feng-Jing, Fan, En-Gui, Xu, Jian
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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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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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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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