4 citations · 12 across the 12 of their papers we have counts for
13 papers
Riemann spaces associated with the Navier-Stokes equations: a survey of the geometric approach
Valerii S. Dryuma
We survey a geometric approach to the Navier-Stokes equations developed by the author over the past fifteen years. The central object is a Riemannian space of fourteen dimensions w…
On vector field generated by the Hopf map on
Valerii Dryuma
The examples of solutions of the system of differential equations generated by the Hopf map are constructed. Their properties are discussed.
Six-dimensional spaces defined by the equations of KN and KdV
Valerii Dryuma
On base of three-dimensional flat metrics obtained with the help of solutions of the KdV-equation were constructed the examples of six-dimensional metrics, which are determined by…
On the Ricci-flat metric for the Navier-Stokes equations
Valerii Dryuma
An examples of the Ricci-flat metric associated with the equations of Navier-Stokes are constructed. Their properties are investigated.
On the equations defining the Ricci-flows of manifolds
Valerii Dryuma
The examples of the Ricci flows on four-dimendionsl manifolds which are determined by help of nonlinear differentials equations of the type of Monge-Ampere are constructed. Their p…
On geometry of gonometric family of cycles
Valerii Dryuma
An examples of solutions of the equation for curvature of congruence of cycles are constructed. Their properties are discussed.