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ON THE GROUP OF DIFFEOMORPHISMS WHICH PRESERVE THE BALL VOLUME AND ARE IDENTIcal ON SPHERE

Abstract

A construction of building of diffeomorphisms which preserve the ball volume and are identity on boundary has proposed. A behavior of hydrodynamics incompressible fluid solutions with initial condition being null on the boundary is investigated.

About the Author

A. M. Lukatsky
ИНЭИ РАН
Russian Federation


References

1. Arnold V.I., Hesin B.A. Topological methods in gydrodynamics. M .: MCNMO. 2007. 392 p.

2. Lukatskii A.M. On the structure of spherical Lie vector fields and groups of diffeomorphisms and. Siberian Math. Zh. 1977. Vol. 28. No. 1. Pp. 161–173.

3. Lukatskii A.M. Structural-geometric properties of the infinite dimensional Lie groups in the use of the equations of mathematical physics. Yaroslavl: P.G. Demidov Yaroslavl State University. 2010.

4. Temam R. Navier-Stokes equations. Theory and numerical analysis. North Holland Publ. Comp. 1979.


Review

For citations:


Lukatsky A.M. ON THE GROUP OF DIFFEOMORPHISMS WHICH PRESERVE THE BALL VOLUME AND ARE IDENTIcal ON SPHERE. Civil Aviation High Technologies. 2016;(224):126-131. (In Russ.)

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ISSN 2079-0619 (Print)
ISSN 2542-0119 (Online)