Epilogue

In the preceding chapters, theoretical descriptions of viscous vortical flows were presented that focused particularly on regimes characterized by large scale and/or time disparities. The fundamental approach generally adopted in the present volume is based on developing suitable asymptotic representations of the governing equations for particular flow regimes, and on exploiting these representations to obtain mathematical and/or computational models that properly address the scale disparities. Several problems were thus treated, including slender vortex flows, vortex merging, aerodynamic sound generation, as well as weakly compressible flows. In conclusion, we outline below two potentially interesting extensions of the developments presented here, which would concern simulations of slender vortex merging and reconnection, and multiscale modeling of meteorological flows.