 Good afternoon, all problems of turbulence, turbulence mixing and Bayon tied in some sense with the solution of hydrodynamic equation. Here I present the results which obtained with my son, Artyom, and where we have obtained the exact solution of Euler-Gimbal's equation and Riemann-Gimbal's equation. The main results is that the exact solution of Euler-Gimbal's equation is consigned with the exact solution of vortex three-dimensional equation of Riemann-Hobb. Euler-Riemann-Hobb equation consider Zildović, Shandarin, but they consider only potential solutions. This, in this case, we have vertical solution. And because of this, the solution of three-dimensional Riemann-Hobb equation consigned with the solution of three-dimensional Euler-Gimbal's equation for compressible case when divergence of velocity is non-zero. For this solution, which obtained more than 25 years ago, but not widely known, firstly, the necessary sufficient condition of singularities are obtained. And it is possible to solve the closure problem of turbulence because it is possible to obtain the entropy and high moments of vorticity on the base of this solution. In this year, we make a remake of this paper, which is published in the Cloud of Russian Academies of Science of Soviet Union in 1991. We used this exact solution to obtain a new analytical solution of Navier-Stokes equation, compressible Navier-Stokes equation. And thus, we have the positive answer on the millennium price problem more exactly to the generalization of the millennium price problem to the compressible Navier-Stokes equation. Because originally, the statement of this problem by Clay Institute of Mathematics was stated for divergence-free solution of Navier-Stokes equation. Because for compressible Navier-Stokes equation, we assume that there is no smooth solution of this equation on infinite time. Our solution has smooth on all time, on infinite time. And thus, on the base of our results, we may say that assumption is not valid. What did I do? In general, nothing. What did I press? Nothing. I mean, I wanted to leave, but here it is, the next slide. Now I show how this is the Navier-Stokes equation for compressible case. And I show how we can reduce this equation to Riemann-Hoff equation. This is possible due to this presentation of pressure, which is the result of the consideration of balance of integral entropy and from the condition of positive rate of this integral. In this case, the Navier-Stokes equation reduced to this equation. This is Burgers type equation, three dimensional or four dimensional. If we take the operator rotor to this equation, we obtain the Euler-Gemmgoltz equation for compressible case when the divergence of velocity is not 0. This is the statement of Kashyp problem for the case of compressible Navier-Stokes. This is the same as the original Kashyp problem for divergence free case, but in this case, we must consider not only velocity, but density also. This is the equation of balance of entropy and you see the second member of this equation. This is which have possible to be negative or positive and only in the case of the above condition or on pressure, we have positive derivative of integral entropy. When this member is 0, this is condition between the rate of dissipation of energy and integral energy and of entropy. For modeling viscous effect, we introduced the stochastic velocity, which have Gauss statistic and delta correlated in time. And thus, we reduced equation on Navier-Stokes to this Riemann type, Hopf-Riemann type equation. This is stochastic velocity. When we have averaged, we obtain the viscous term. The exact solution of this equation is have this form where this is matrix of this type, depending only on the initial condition of velocity. In the one-dimensional case, this have this presentation and the solution of this type to obtain by Polinovsky in 1976 and by me in 1989. And this is the case of arbitrary dimension, two-dimensional, three-dimensional. If we have averaged this presentation of solution, we obtain this formula for average velocity, which have not singularity for arbitrary and infinite time. And thus, we have the solution of compressible Navier-Stokes. In this form, this is presentation of determinant of matrix one-dimensional, which I mentioned above, two-dimensional. This is dependence on time and three-dimensional, where we have cubic dependence. If you consider the example when initial velocity field is divergence-free, which have stream function of this type, the time of singularity when we do not consider viscous effect. Have this presentation, which depend on parameters of initial stream function. And first, the singularity of solution begin on the ellipse. Describe this. This is presentation to vorticity field, field which corresponding to this exact solution of ellipsoid equation in two-dimensional and in three-dimensional. This is presentation for helicity of the solution. This is presentation for entropy of this solution. You see that this is the case when we do not consider viscous effect. And you see that determinant stay in denominator. And when it zero, it become infinity. And this is presentation for arbitrary moments of vorticity. This is the exact solution for, and it may be possible to see from this that this value is more larger than the square of this value corresponding to intermittency effects. But if we consider homogeneous friction, we may obtain also exact solution. But in this solution, we must replace the time on this and that. And for the case described by this formula, when homogeneous friction is larger than this value obtained from algebraic equations, which I present before, we have smooth solution at all times. This is important because in every numerical simulation of hydrogen magnetic equation, Navier-Stokes equation, we cannot consider infinitely number of harmonics. And introduction of homogeneous friction is analog of, consider of finite number of modes. And thus, we have a condition which give us possibility to obtain smooth solution at all time without any instabilities which take place in numerical simulation. I have finished my presentation by showing the solution of two-dimensional equation, the example of which I demonstrate before when this is exact solution of two-dimensional varticity equation. Thank you. Thank you. For the expression of all the pressure. One small repeat. Then the one time question. I think it's question 1, 1.2. Equation 1.3? Yes. This is condition which tied pressure with divergence of velocity. In for incompressible case, we have zero divergence. And for this case, this is analog of this condition which corresponding to positive rate of integral entropy. This is obtained from this condition.