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A numerical approximation of the thermal coupling of fluids and solidsINTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, Issue 11 2009
Abstract In this article we analyze the problem of the thermal coupling of fluids and solids through a common interface. We state the global thermal problem in the whole domain, including the fluid part and the solid part. This global thermal problem presents discontinuous physical properties that depend on the solution of auxiliary problems on each part of the domain (a fluid flow problem and a solid state problem). We present a domain decomposition strategy to iteratively solve problems posed in both subdomains and discuss some implementation aspects of the algorithm. This domain decomposition framework is also used to revisit the use of wall function approaches used in this context. Copyright © 2008 John Wiley & Sons, Ltd. [source]
Asymptotic convergence of p -Laplace equationswith constraint as p tends to 1MATHEMATICAL METHODS IN THE APPLIED SCIENCES, Issue 9 2002
In this paper we treat the Euler,Lagrange equation of a functional including the p -Laplacian for 1
state problem of a modified Stefan,Gibbs,Thomson problem.
We investigate the structure of the limit set of all solutions as . Furthermore, we clarify the relationship between the limit set and the solution set of the limiting equation.
Copyright © 2002 John Wiley & Sons, Ltd.
NON-BLOCKING SUPERVISORY CONTROL FOR INITIALISED RECTANGULAR AUTOMATAASIAN JOURNAL OF CONTROL, Issue 2 2004
Michael P. Spathopoulos
ABSTRACT We consider the problem of supervisory control for a class of rectangular automata and more specifically for compact rectangular automata with uniform rectangular activity, i.e. initialised. The supervisory controller is state feedback and disables discrete-event transitions in order to solve the non-blocking forbidden state problem. The non-blocking problem is defined under both strong and weak conditions. For the latter maximally permissive solutions that are computable on a finite quotient space characterised by language equivalence are derived. [source]
On the Dissociation of Aromatic Radical Anions in SolutionCHEMPHYSCHEM, Issue 1 2003
Abstract A new theoretical formulation is given for the reaction rate and path for the important reaction class of aromatic radical anion dissociation in solution [ArX],.,Ar.+X,, and is illustrated for the case of the cyanochlorobenzene radical anion [CN,Cl],. in dimethylformamide. Among the theory's novel features is the inclusion of the conical intersection aspect of this ground electronic state problem, which is key in allowing the reaction to occur and which has a significant impact on the reaction barrier height. Reasonable agreement with the experimental rate is found. [source]