Combustion, while being part of our everyday experience, is a complex phenomenon involving a multitude of reactions and dynamics. There is great value in understanding combustion through mathematical modelling, not only for its own sake, but also because of the applications of the developed model to combustion-based industrial processes or to that perennial environmental threat to populace, pro...

We study the exact multiplicity of positive solutions, and the global solution structure for several classes of non-autonomous two-point problems. We present two situations where the direction of turn can be computed rather directly. As an application, we consider a problem from combustion theory with a sign-changing potential. We illustrate our results by numerical computations, using a novel ...

In this paper fuel-optimal rendezvous maneuvers for passenger cars will be analyzed. The results are obtained using simplified yet realistic descriptions of the vehicles and their internal combustion engines. Both the mathematical arguments leading to and the physical interpretations deriving from the optimal solution are shown. Implementation issues (computational burden, convergence, feedforw...

In this paper we present a self–adaptive finite element method to solve flame propagation problems in 3D. An implicit time integrator of Rosenbrock type is coupled with a multilevel approach in space. The proposed method is applied to an unsteady thermo–diffusive combustion model to demonstrate its potential for the solution of complicated problems.