integral equationNavier–Stokes equationsvelocity–In the present work, an indirect boundary integral method for the numerical solution of Navier–Stokes equations formulated in velocity–vorticity dependent variables is proposed. This wholly integral approach, based on Helmholtz's decomposition, deals ...
doi:10.1002/9781119301066.ch4analytical solutionBurgers' equationNavier‐Stokes equationsnumerical solutionpartial differential equationsspline collocation method of linesSchiesser, William EJohn Wiley & Sons, Inc.
Navier–Stokes equationsVlasov–Fokker–Planck equationscompressible flowsweak solutionsGalerkin methodA fluid–particles system of the compressible Navier-Stokes equations and Vlasov-Fokker-Planck equation (including the case of Vlasov equation) in three-dimensional space is considered in this paper...
asymptotic behaviorRiccati equationheat equationIn this paper, we establish exact solutions of the Cauchy problem for the 3D cylindrically symmetric incompressible Navier–Stokes equations and further study the global existence and asymptotic behavior of solutions. Copyrightdoi:10.1002/mma.4324Qin, Yuming...