@article{Ohkitani2004, author={K. Ohkitani}, title={A Survey on a Class of Exact Solutions of the Navier-Stokes Equations and a Model for Turbulence}, journal={Publ. RIMS, Kyoto Univ.}, volume={40}, year={2004}, pages={1267-1290} } @article{Wang1989, author={C.Y. Wang}, title={Exact Solutions of the Unsteady Navier-Stokes Equations}, journal={Appl. Mech. Rev. }, volume={42}, year={1989}, pages={269-282} } @article{Wang1991, author={C.Y. Wang}, title={Exact Solutions of the Steady Navier-Stokes Equations}, journal={Annu. Rev. Fluid Mech.}, volume={23}, year={1991}, pages={159-177} } @article{Okamoto1997, author={H. Okamoto}, title={Exact Solutions of the Navier-Stokes Equations via Leray's Scheme}, journal={Japan J. Indust. Appl. Math.}, volume={14}, year={1997}, pages={169-197} } @book{Drazin2007, author={P. Drazin and N. Riley}, title={The Navier-Stokes Equations:A Classification of Flows and Exact Solutions}, publisher={Cambridge University Press}, year={2007}, address={UK} } @article{Nugroho2009, author={G. Nugroho and A.M.S. Ali and Z.A. Abdul Karim}, title={On a Special Class of Analytical Solutions to the Three-Dimensional Incompressible Navier-Stokes Equations}, journal={Applied Mathematics Letters}, volume={22}, year={2009}, pages={1639-1644} } @article{Sidorov1989, author={A.F. Sidorov}, title={On Two Classes of Solutions of Fluid and Gas Dynamics Equations and their Connection with Theory of Travelling Waves}, journal={Journal of Applied Mechanics and Technical Physics}, volume={30}, year={1989}, pages={34-40}, number={2} } @article{Rajagopal1984, author={K.R. Rajagopal}, title={A Class of Exact Solutions to the Navier--Stokes equations}, journal={International Journal of Engineering and Science}, volume={22}, year={1984}, pages={451-458}, number={4} } @article{Moore1991, author={R.L. Moore}, title={Exact Non-Linear Forced Periodic Solutions of the Navier-Stokes Equation}, journal={Physica D}, volume={52}, year={1991}, pages={179-190} } @book{Green1999, author={J. Green}, title={Atmospheric Dynamics}, publisher={Cambridge University Press}, year={1999}, address={UK} } @book{Nugroho2011, author={G. Nugroho and A.M.S. Ali and Z.A. Abdul Karim}, title={The Navier-Stokes Equations: On Special Classes and Properties of Exact Solutions of 3D Incompressible Flows}, publisher={LAP GmbH \& Co.KG}, year={2011}, address={Dudweiler Landstr, Germany} } @article{Nugroho2010, author={G. Nugroho and A.M.S. Ali and Z.A. Abdul Karim}, title={Properties of $V=\nabla \times \Phi $ and $V=\nabla \Phi +\nabla \times \Phi $ Classes of Solution to the Three-Dimensional Incompressible Navier-Stokes Equations}, journal={International Journal of Applied Mathematics and Mechanics}, volume={6}, year={2010}, pages={98-117}, month={11} } @article{Nugroho2010a, author={G. Nugroho and A.M.S. Ali and Z.A. Abdul Karim}, title={A Class of Exact Solutions to the Three-Dimensional Incompressible Navier-Stokes Equations}, journal={Applied Mathematics Letters}, volume={23}, year={2010}, pages={1388-1396} } @article{Nugroho2012, author={G. Nugroho}, title={Toward Analytical Solutions and their Properties to the Three-Dimensional Incompressible Viscous Flows}, journal={Applied Mathematics and Computation}, volume={(Review)}, year={2012} } @inproceedings{Christianto2008, author={V. Christianto and F. Smarandache}, title={An {E}xact {M}apping from {N}avier-{S}tokes {E}quation to {S}chr{\"o}dinger {E}quation via {R}iccati {E}quation}, booktitle={Progress in Physics}, year={2008}, month={1} } @article{Nugroho2012a, author={G. Nugroho}, title={On Analytical Solutions to the Three-Dimensional Incompressible Navier-Stokes with General Forcing Functions and their Relation to Turbulence}, journal={Turbulent Flows: Prediction, Modeling and Analysis}, volume={(Accepted)}, year={2012} } @techreport{Wong2001, author={R. Wong}, title={Asymptotic Approximations of Integrals}, institution={Society for Industrial and Applied Mathematics}, year={2001} }