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of 24
pro vyhledávání: '"Braga, Gastao A."'
In this paper we employ the Renormalization Group (RG) method to study higher order corrections to the long-time asymptotics of a class of nonlinear integral equations with a generalized heat kernel and with time-dependent coefficients. This is a fol
Externí odkaz:
http://arxiv.org/abs/2412.16338
We study the large-time behavior of solutions to a generalized Burgers Equation, with initial zero mass data. Our main purpose is to present a modified version of the Renormalization Group map, which is able to provide the higher order asymptotic pro
Externí odkaz:
http://arxiv.org/abs/2208.03335
In this paper, we proceed with the analysis started in \cite{bib:braga-mor-souza} and, using the Renormalization Group method, we obtain logarithmic corrections to the decay of solutions for a class of nonlinear integral equations whenever the nonlin
Externí odkaz:
http://arxiv.org/abs/2004.12945
Akademický článek
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In this paper we employ the Renormalization Group (RG) method to study the long-time asymptotics of a class of nonlinear integral equations with a generalized heat kernel and with time-dependent coefficients. The nonlinearities are classified and stu
Externí odkaz:
http://arxiv.org/abs/1708.03618
We systematically study a numerical procedure that reveals the asymptotically self-similar dynamics of solutions of partial differential equations (PDEs). This procedure, based on the renormalization group (RG) theory for PDEs, appeared initially in
Externí odkaz:
http://arxiv.org/abs/1707.05544
Publikováno v:
SIAM Multiscale Modeling and Simulation, v. 1, n. 4, p. 630-644, 2003
In this paper we present an efficient numerical approach based on the Renormalization Group method for the computation of self-similar dynamics. The latter arise, for instance, as the long-time asymptotic behavior of solutions to nonlinear parabolic
Externí odkaz:
http://arxiv.org/abs/0906.2206
In this short note we consider mixed short-long range independent bond percolation models on $\Z^{k+d}$. Let $p_{uv}$ be the probability that the edge $(u,v)$ will be open. Allowing a $x,y$-dependent length scale and using a multi-scale analysis due
Externí odkaz:
http://arxiv.org/abs/math-ph/0605047
Publikováno v:
Discrete and Continuous Dynamical Systems. Series B, v. 7, p. 699-715, 2007
We study the long-time asymptotics of a certain class of nonlinear diffusion equations with time-dependent diffusion coefficients which arise, for instance, in the study of transport by randomly fluctuating velocity fields. Our primary goal is to und
Externí odkaz:
http://arxiv.org/abs/math/0512450
Publikováno v:
SIAM Review, 2005 Jun 01. 47(2), 349-365.
Externí odkaz:
https://www.jstor.org/stable/20453633
