Results 11 to 20 of about 1,415 (226)
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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Long-Time Asymptotics for Polymerization Models [PDF]
Communications in Mathematical Physics, 2018 https://link.springer.com/article/10.1007/s00220-018-3218 ...
Calvo, Juan +2 more
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Long Time Asymptotics for Optimal Investment [PDF]
, 2015 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. We study the asymptotic behavior of these criteria formulated as large deviations control pro\-blems,
Rosenbaum, M., Yor, Marc
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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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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. Shepelsky.
Teschl, Gerald +3 more
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Long‐time asymptotics for a coupled thermoelastic plate–membrane system [PDF]
Mathematical Methods in the Applied Sciences, 2021 In this paper, we consider a transmission problem for a system of a thermoelastic plate with (or without) rotational inertia term coupled with a membrane with different variants of damping for the plate and/or the membrane. We prove well‐posedness of the problem and higher regularity of the solution and study the asymptotic behavior of the solution ...
Bienvenido Barraza Martínez +4 more
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Semidiscretization and Long-time Asymptotics of Nonlinear Diffusion Equations [PDF]
Communications 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
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Stein variational gradient descent: Many-particle and long-time asymptotics
Foundations of Data Science, 2023 Stein variational gradient descent (SVGD) refers to a class of methods for Bayesian inference based on interacting particle systems. In this paper, we consider the originally proposed deterministic dynamics as well as a stochastic variant, each of which represent one of the two main paradigms in Bayesian computational statistics: emphvariational ...
N��sken, Nikolas +1 more
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ON THE LONG-TIME ASYMPTOTICS OF QUANTUM DYNAMICAL SEMIGROUPS [PDF]
Quantum Probability and Related Topics, 2011 We consider semigroups $\{ _t: \; t\geq 0\}$ of normal, unital, completely positive maps $ _t$ on a von Neumann algebra ${\mathcal M}$. The (predual) semigroup $ _t ( ):= \circ _t$ on normal states $ $ of $\mathcal M$ leaves invariant the face ${\mathcal F}_p:= \{ : \; (p)=1\}$ supported by the projection $p\in {\mathcal M}$, if and only if
Raggio, Guido A., Zangara, Pablo R.
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