On classes of globally smooth solutions to the Euler equations in several dimensions

Details On classes of globally smooth solutions to the Euler equations in several dimensions On classes of globally smooth solutions to the Euler equations in several dimensions

2002-03-22

arxiv.org/abs/math/0203230v2

Mathematics

Analysis of PDEs

20 pages

Scientific paper

It is shown that if the system of the Euler equations has a special global in
time smooth solution with the linear profile of velocity, then another
solutions with Cauchy data, close in the Sobolev norm to the initial data of
the given solution, will be globally smooth as well. The examples of the
solutions are constructed.

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