BANG

Several partial differential equations exhibit explosion phenomena when the nonlinearity of the model is too strong; solutions concentrating at one or more points and diverging in a certain norm. The first objective of BANG is to counter these explosion phenomena by constructing appropriate controls to dampen the effect of nonlinearity. The second objective is to use the concentration effect of explosive solutions as a new control method by concentrating the solution to be controlled in the control region in order to substitute it with the state to be reached.