ABSTRACT.Renormalization group (RG) methods are described for determining the key exponents related to the decay of solutions to nonlinear parabolic differential equations. Higher ...
We consider a system of two parabolic equations with a forcing control term present in one equation and a cubic coupling term in the other one. We prove that the system is locally...
In this paper, we study general questions about the solvability of the Kruppa equations and show that, in several special cases, the Kruppa equations can be renormalized and becom...
We approximate the solution of initial boundary value problems for nonlinear parabolic equations. In space we discretize by finite element methods. The discretization in time is b...
Georgios Akrivis, Michel Crouzeix, Charalambos Mak...
The aim of this paper is to display numerical results that show the interest of some multilevel methods for problems of parabolic type. These schemes are based on multilevel spatia...