On the navier-stokes equation with the additional condition $u_1^1 = u^3 = 0$

  • V. O. Popovich
  • R. O. Popovich

Abstract

We study the Navier-Stokes equation with the additional condition $u_1^1 = u^3 = 0$. In certain cases, solutions are represented in a closed form. In other cases, the investigated system reduces to simpler systems of partial differential equations. We study the symmetry properties of these systems and construct classes of their particular solutions.
Published
25.10.1996
How to Cite
PopovichV. O., and PopovichR. O. “On the Navier-Stokes Equation With the Additional Condition $u_1^1 = u^3 = 0$”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 48, no. 10, Oct. 1996, pp. 1363-74, https://umj.imath.kiev.ua/index.php/umj/article/view/5222.
Section
Research articles